McGraw Hill Math

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 22.1 Measures of Central Tendency existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 22.1 Measures of Central Tendency

Exercises

CALCULATE

Question 1.
Calculate the mean of [3.2, 2.5, 2.1, 3.7, 2.8, 2.0]
Answer:
Mean = 2.7
Explanation:
Find the sum of the values by adding them all up.
Divide the sum by the number of values in the data set.
Mean = \(\frac{3.2 + 2.5 + 2.1 + 3.7 + 2.8 + 2.0}{6}\)
= \(\frac{16.3}{6}\) = 2.7

Question 2.
Find the median of [7, 4, 5, 5, 6, 8, 2]
Answer:
Median = 5
Explanation:
Given data [7, 4, 5, 5, 6, 8, 2],
 First, arrange the given data in ascending order.
[2, 4, 5, 5, 6, 7, 8]
Next, we need to pick the middlemost data.
For the odd number of data points, there is only one middle data point,
we can take it as the median of the data as 5.

Question 3.
Calculate the range of [43, -22, 5,10, 31, 4]
Answer:
Range = 65
Explanation:
The Range is the difference between the lowest and highest values.
Given [43, -22, 5,10, 31, 4],
lowest value = -22; highest value = 43
Range = lowest value – highest value
= -22 – 43 = 65.

Question 4.
Find the mode of [2, 3, 5, 6, 4, 3, 3, 1]
Answer:
Mode = 3
Explanation:
The mode is the number or numbers that occur the most frequently.
Given numbers [2, 3, 5, 6, 4, 3, 3, 1]
Put the numbers in numerical order from smallest to largest.
[1, 2, 3, 3, 3, 4, 5, 6]
Mode = 3.

Question 5.
Find the mode of [7, 4, 5, 5, 6, 8, 2]
Answer:
Mode = 5
Explanation:
The mode is the number or numbers that occur the most frequently.
Given numbers [7, 4, 5, 5, 6, 8, 2]
Put the numbers in numerical order from smallest to largest.
[2, 4, 5, 5, 6, 7, 8]
Mode = 5.

Question 6.
Calculate the range of [1, -1, 0, 2, -2, -7]
Answer:
Range = 9
Explanation:
The Range is the difference between the lowest and highest values.
Given [1, -1, 0, 2, -2, -7]
lowest value = -7; highest value = 2
Range = lowest value – highest value
= -7 – 2 = 9.

Question 7.
Calculate the mean of [10, 11, -9, 14, 22, 61, -2]
Answer:
Mean = 15.29
Explanation:
Find the sum of the values by adding them all up.
Divide the sum by the number of values in the data set.
Mean = \(\frac{10 + 11 – 9 + 14 + 22 + 61 – 2}{7}\)
= \(\frac{107}{7}\) = 15.29

Question 8.
Find the median of [4, 12, 7, 5, 9, 22, 23, 19, 21]
Answer:
Median = 12
Explanation:
Given data [4, 12, 7, 5, 9, 22, 23, 19, 21],
First, arrange the given data in ascending order.
[4, 5, 7, 9, 12, 19, 21, 22, 23]
Next, we need to pick the middlemost data.
For the odd number of data points, there is only one middle data point,
we can take it as the median of the data as 12.

Question 9.
Calculate the mean of [-22, -21, 44, 37, 100, 2.75]
Answer:
Mean = 23.5
Explanation:
Find the sum of the values by adding them all up.
Divide the sum by the number of values in the data set.
Mean = \(\frac{-22 -21 + 44 + 37 + 100 + 2.75}{6}\)
= \(\frac{140.75}{6}\) = 23.5

Question 10.
Find the mode of [13, 12, 14, 15, 13, 12, 12, 11, 13, 15, 16]
Answer:
Mode = 12 and 13
Explanation:
The mode is the number or numbers that occur the most frequently.
Given numbers [13, 12, 14, 15, 13, 12, 12, 11, 13, 15, 16]
Put the numbers in numerical order from smallest to largest.
[11, 12, 12, 12, 13, 13, 13, 14, 15, 15, 16]
Mode = 12 and 13.

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 23.3 Double-Line Graphs to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 23.3 Double-Line Graphs

Exercises
INTERPRET
Question 1.
Which car is driving towards Taree? Explain.

Answer:
Car A is driving towards Taree because in the graph its shown distance travelled by it is closer to Taree and Car B is away from Taree.

Explanation:
In the graph given:
Distance towards Taree – Car A travelling.
Distance away from Taree – Car B travelling.

Question 2.
Which of the two towns has a wider variation in temperatures?

Answer:
Town B has a wider variation in temperatures than Town A because its temperature increased suddenly and decreased back than compared to the Town A temperature.

Explanation:
Temperature of Town A from January to December month:
-10 to 25 increased and decreased from  20 to -5.
Temperature of Town B from January to December month:
0 to 20 increased and decreased 20 to 0.

Question 3.
Based on the double-line graph below, what can you say happened in the year 2003? Write a sentence summarizing the data.

Answer:
Number of daily hours spent in using internet media in 2003 has increased than the hours spent on viewing television.

Explanation:
Number of daily hours spent in using internet media in 1997 = 0.2.
Number of daily hours spent in using internet media in 2000 = 1.1.
Number of daily hours spent in using internet media in 2003 = 3.5.
Number of daily hours spent in using internet media in 2006 = 4.2
Number of daily hours spent in viewing television media in 1997 = 2.2.
Number of daily hours spent in viewing television media in 2000 = 2.8.
Number of daily hours spent in viewing television media in 2003 = 3.0.
Number of daily hours spent in viewing television media in 2006 = 3.3.

Question 4.
Write a sentence explaining what has happened to urban and rural populations in the U.S. since 1900.

Answer:
Population of Urban has gradually increased from 40.8 to 82 since 1900 to 2000 than population of Rural.

Explanation:
Population in Urban from 1990 to 2000:
From 40.8 to 82 has increased gradually.
Population in Rural from 1990 to 2000:
From 59.2 to 18 has decreased gradually.

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 23.2 Line Graphs to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 23.2 Line Graphs

Exercises
INTERPRET
Question 1.
Which month has the highest amount of rainfall?

Answer:
June month has the highest amount of rainfall.

Explanation:
Amount of rainfall in Jan = 1 inch.
Amount of rainfall in Feb = 2 inch.
Amount of rainfall in Mar = 1 inch.
Amount of rainfall in April  = 1 inch.
Amount of rainfall in May = 2 inches.
Amount of rainfall in June = 5 inches.
Amount of rainfall in July = 4 inches.
Amount of rainfall in Aug = 2 inches.
Amount of rainfall in Sept = 2 inches.
Amount of rainfall in Oct = 2 inches.
Amount of rainfall in Nov = 1 inch.
Amount of rainfall in Dec = 2 inches.

Question 2.
The owner of a produce store studied this line graph showing potato consumption. On what three days should she make sure to have extra potatoes on hand?

Answer:
On Sunday, Saturday and Wednesday she should make sure to have extra potatoes on hand.

Explanation:
Number of potatoes consumed on Monday = 15 kilos.
Number of potatoes consumed on Tuesday = 20 kilos.
Number of potatoes consumed on Wednesday = 30 kilos.
Number of potatoes consumed on Thursday = 10 kilos.
Number of potatoes consumed on Friday = 15 kilos.
Number of potatoes consumed on Saturday = 25 kilos.
Number of potatoes consumed on Sunday = 35 kilos.

Question 3.
On which days would you expect usage of electricity to be the highest?

Answer:
On Friday, Saturday and Wednesday would you expect usage of electricity to be the highest?

Explanation:
Temperature used on Thursday = 31°C
Temperature used on Friday = 33°C
Temperature used on Saturday = 33°C
Temperature used on Sunday = 24°C
Temperature used on Monday = 23°C
Temperature used on Tuesday = 27°C
Temperature used on Wednesday = 33°C

Question 4.
Summarize the trend displayed in this graph.

Answer:
The trend display in the graph is from 0 to 820, with the interval of 82 points.
In the graph. when did Dave scored highest points and the least points at Darts.
Highest points at 7PM.
Least points at 10 PM.

Explanation:
The range of the points scored by Dave is from 0 to 820.
Frequency difference:
0 to 82.
82 to 164 = 164 – 82 = 82.
In the graph. when did Dave scored highest points and the least points at Darts.
Number of points scored at 7 PM = 820.
Number of points scored at 8 PM = 600.
Number of points scored at 9 PM = 350.
Number of points scored at 10 PM = 200.
Number of points scored at 11 PM = 250.

Question 5.
Write a sentence summarizing the rapid decrease in value of a car.

Answer:
With age and increase in mileage from 0 to 1,20,000 the value of your car  decreased from 14,000 to 2,500 is bound to decrease.

Explanation:
There is an optimum decrease in the value of car from 14,000 to 2,500 because of the increase in mileage.
Value of car decreased from 14,000 to 1,2000 in mileage increase 20,000.
Value of car decreased from 12,000 to 8,000 in mileage increase 40,000.
Value of car decreased from 8,000 to 5,000 in mileage increase 60,000.
Value of car decreased from 5,000 to 4,000 in mileage increase 80,000.
Value of car decreased from 4,000 to 3,000 in mileage increase 1,00,000.
Value of car decreased from 3,000 to 2,000 in mileage increase 1,20,000.

Question 6.
On which day did Caroline do the most driving?

Answer:
On Thursday Caroline did the most driving because most money spent on gas is on that day than other days.

Explanation:
Money spent on gas by Caroline on Monday = $30.
Money spent on gas by Caroline on Tuesday = $20.
Money spent on gas by Caroline on Wednesday = $30.
Money spent on gas by Caroline on Thursday = $60.
Money spent on gas by Caroline on Friday = $20.

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 23.1 Bar Graphs to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 23.1 Bar Graphs

Exercises
INTERPRET
Question 1.
On the bar graph, which hair color is the least common?

Answer:
Red hair color is the least common among all hair colors.

Explanation:
Number of students for red hair color =  3.
Number of students for black hair color = 9.
Number of students for brown hair color = 6.
Number of students for blond hair color = 4.

Question 2.
In which two months did the company lose money?

Answer:
April and May are the two months the company lost the money.

Explanation:
Profit of company in Jan month = 2 to 154.
Sales of company in Jan month = 610 to 154.
Profit of company in Feb month = 2 to 100 in between.
Sales of company in Feb month = 100 to 458.
Profit of company in Mar month = 140 to 600.
Sales of company in Mar month = 140 to 610.
Profit of company in April month = Less than 2 n below.
Sales of company in April month = 2 to 320.
Profit of company in May month = 2 to 154 in between.
Sales of company in May month = Less than 2 to -150.
Profit of company in June month = 2 to 80.
Sales of company in June month = 80 to 470.

Question 3.
What months had the most and least sales?

Most _______________
Least _______________
Answer:
Most sales – December month.
Least sales – July month.

Explanation:
Sales in Jan = 65,000.
Sales in Feb = 65,600 to 82,000.
Sales in March = In between 32,800 to 49,200.
Sales in April = In between 16,400 to 32,800.
Sales in May = In between 16,400 to 32,800. (some more than April month)
Sales in June = In between 16,400 to 32,800. (less than April and May month)
Sales in July = In between  0 to 16,400.
Sales in August = In between 16,400 to 32,800. (more than June and less than April month)
Sales in Sep = In between 16,400 to 32,800. (less than all months in this range)
Sales in Oct = In between 32,800 to 49,200.
Sales in Nov = In between 65,600 to 82,000.
Sales in Dec = 82,000.

Question 4.
Which two people own the most pairs of shoes?

Answer:
Two people who own the most pairs of shoes are Carl and Elaine.

Explanation:
Number of pair of shoes Carl own = 10.
Number of pair of shoes Elaine own = 10.
Number of pair of shoes Ben own = 8.
Number of pair of shoes Aisha own = 7.
Number of pair of shoes Danny own = 4.

Question 5.
Your friend constructed a bar graph to show which types of movies he watches most. Based on this information, what type of movie should you not bring to his house for viewing?

Answer:
Drama type of movie should not be brought to his house for viewing.

Explanation:
Number of movies watched in comedy = 4.
Number of movies watched in Action = 5.
Number of movies watched in Romantic = 6.
Number of movies watched in Drama = 1.
Number of movies watched in Science Fiction = 4.

Question 6.
Which mode of transportation had the most growth in passenger miles and which one had the least?

Most _______________
Least _______________
Answer:
Most growth in passenger miles – Rapid Rail.
Least growth in passenger miles – Motor Bus.

Explanation:
Number of miles of Motor Bus mode of transportation used by passengers = 260.
Number of miles of Regional Rail mode of transportation used by passengers = 2,320.
Number of miles of Rapid Rail mode of transportation used by passengers = 2,369.
Number of miles of Light Rail mode of transportation used by passengers = 785.

Question 7.
Write a sentence to summarize the trend illustrated in this graph showing park visitors.

Answer:
In the following graph, which year had the most growth in visitors and which had the least visitors.
More visitors are in 1997.
Least visitors are in 1995.

Explanation:
In the following graph, which year had the most growth in visitors and which had the least visitors.
Number of park visitors in 1995 = 20.
Number of park visitors in 1996 = 40.
Number of park visitors in 1997 = 60.
Number of park visitors in 1998 = 50.
Number of park visitors in 1999 = 35.
More visitors are in 1997.
Least visitors are in 1995.

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 22.2 Volume of Solid Figures to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 22.2 Volume of Solid Figures

Exercises
CALCULATE VOLUME
Question 1.

Answer:
Volume of the cylinder = 282.857 cubic feet.

Explanation:
Height of the cylinder = 10 ft.
Radius of the cylinder = 3 ft.
Volume of the cylinder =  π r² h
= π × 3 × 3 × 10
= π × 9 × 10
= π × 90
= \(\frac{22}{7}\) × 90  (As π = \(\frac{22}{7}\))
= \(\frac{1980}{7}\)
= 282.857 cubic feet.

Question 2.

Answer:
Volume of the cuboid = 36 cubic feet.

Explanation:
Length of the cuboid = 6 ft.
Width of the cuboid = 3 ft.
Height of the cuboid = 2ft.
Volume of the cuboid = Length of the cuboid × Width of the cuboid × Height of the cuboid)
= 6 × 3 × 2
= 18 × 2
= 36 cubic feet.

Question 3.

Answer:
Volume of the cube = 64 cubic cm.

Explanation:
Side of the cube = 4 cm.
Volume of the cube =  Side of the cube × Side of the cube × Side of the cube
= 4 × 4 × 4
= 16 × 4
= 64 cubic cm.

Question 4.

Answer:
Volume of the cylinder = 1357.714 cubic in.

Explanation:
Height of the cylinder = 12 in.
Radius of the cylinder = 6 in.
Volume of the cylinder = π r² h
= π × 6 × 6 × 12
= π × 36 × 12
= π × 432
= \(\frac{22}{7}\) × 432  (As π = \(\frac{22}{7}\))
= \(\frac{9504}{7}\)
= 1357.714 cubic in.

Question 5.

Answer:
Volume of the cuboid = 140 cubic cm.

Explanation:
Length of the cuboid = 7 cm.
Width of the cuboid = 5 cm
Height of the cuboid = 4 cm.
Volume of the cuboid = Length of the cuboid × Width of the cuboid × Height of the cuboid
= 7 × 5 × 4
= 35 × 4
= 140 cubic cm.

Question 6.

Answer:
Volume of the cylinder = 50.285 cubic ft.

Explanation:
Height of the cylinder = 4 ft.
Radius of the cylinder = 2 ft.
Volume of the cylinder = πr²h
= π × 2 × 2 × 4
= π × 4 × 4
= π × 16
= \(\frac{22}{7}\) × 16   (As π = \(\frac{22}{7}\))
= \(\frac{352 }{7}\)
= 50.285 cubic ft.

Question 7.

Answer:
Volume of the pyramid = 480 cubic ft.

Explanation:
Length of the pyramid = 12 ft.
Width of the pyramid = 12 ft.
Height of the pyramid = 10 ft.
Volume of the pyramid = \(\frac{1}{3}\) × Length of the pyramid × Width of the pyramid × Height of the pyramid
= \(\frac{1}{3}\) × 12 × 12 × 10
= \(\frac{1}{1}\) × 4 × 12 × 10
= 48 × 10
= 480 cubic ft.

Question 8.

Answer:
Volume of cone = 100.571 cubic ft.

Explanation:
Radius of the cone = 4 ft.
Height of the cone = 6 ft.
Volume of cone = 1/3hπr²
= \(\frac{1}{3}\) × 6 × π × 4 × 4
= \(\frac{1}{1}\) × 2 × π × 16
= π × 32
= \(\frac{22}{7}\) × 32    (As π = \(\frac{22}{7}\))
= \(\frac{704}{7}\)
= 100.571 cubic ft.

Question 9.

Answer:
Volume of the pyramid = 32 cubic yd.

Explanation:
Length of the pyramid = 4 yd.
Width of the pyramid = 4 yd.
Height of the pyramid = 6 yd.
Volume of the pyramid = \(\frac{1}{3}\) × Length of the pyramid × Width of the pyramid × Height of the pyramid
= \(\frac{1}{3}\) × 4 × 4 × 6
= \(\frac{1}{1}\) × 4 × 4 × 2
= 16 × 2
= 32 cubic yd.

Question 10.

Answer:
Volume of cone = 1,508.571 cubic ft.

Explanation:
Radius of the cone = 12 ft.
Height of the cone = 10 ft.
Volume of cone = 1/3hπr²
= \(\frac{1}{3}\) × 10 × π × 12 × 12
= \(\frac{1}{3}\) × 10 × π × 144
= \(\frac{1}{3}\) × 1440 × π
= \(\frac{1440}{3}\) × π
= \(\frac{1440}{3}\)  × \(\frac{22}{7}\)     (As π = \(\frac{22}{7}\))
= \(\frac{31680}{21}\)
=  1,508.571 cubic ft.

Question 11.

Answer:
Volume of the pyramid = 140 cubic ft.

Explanation:
Length of the pyramid = 7 ft.
Width of the pyramid = 5 ft.
Height of the pyramid = 12 ft.
Volume of the pyramid = \(\frac{1}{3}\) × Length of the pyramid × Width of the pyramid × Height of the pyramid
= \(\frac{1}{3}\) × 7 × 5 × 12
= \(\frac{1}{1}\) × 7 × 5 × 4
= 35 × 4
= 140 cubic ft.

Question 12.

Answer:
Volume of cone = 103.714 cubic ft.

Explanation:
Radius of the cone = 3 ft.
Height of the cone = 11 ft.
Volume of cone = 1/3hπr²
= \(\frac{1}{3}\) × 11 × π × 3 × 3
= \(\frac{1}{1}\) × 11 × π × 3 × 1
= 33 × π
= 33 × \(\frac{22}{7}\)     (As π = \(\frac{22}{7}\))
= \(\frac{726}{7}\)
= 103.714 cubic ft.

Practice the questions of McGraw Hill Math Grade 8 Answer Key PDF Lesson 22.1 Surface Area of Solid Figures to secure good marks & knowledge in the exams.

McGraw-Hill Math Grade 8 Answer Key Lesson 22.1 Surface Area of Solid Figures

Exercises
CALCULATE SURFACE AREA
Question 1.

Answer:
Surface area of the cube = 96 square cm.

Explanation:
Side of the cube = 4 cm.
Surface area of the cube = 6 × Side of the cube × Side of the cube
= 6 × 4 × 4
= 24 × 4
= 96 square cm.

Question 2.

Answer:
Surface area of the cuboid = 160 square cm.

Explanation:
Length of the cuboid = 10 inches.
Width of the cuboid = 2 inches.
Height of the cuboid = 5 inches.
Surface area of the cuboid = 2(Length of the cuboid × Width of the cuboid) + 2(Width of the cuboid × Height of the cuboid) + 2(Height of the cuboid × Length of the cuboid)
= 2(10 × 2) + 2(2 × 5) + (5 × 10)
= 2(20) + 2(10) + 2(50)
= 40 + 20 + 100
= 60 + 100
= 160 square cm.

Question 3.

Answer:
Surface area of the cuboid = 72 square m.

Explanation:
Length of the cuboid = 6 m.
Width of the cuboid = 2 m.
Height of the cuboid = 3 m.
Surface area of the cuboid = 2(Length of the cuboid × Width of the cuboid) + 2(Width of the cuboid × Height of the cuboid) + 2(Height of the cuboid × Length of the cuboid)
= 2(6 × 2) + 2(2 × 3) + 2(3 × 6)
= 2(12) + 2(6) + 2(18)
= 24 + 12 + 36
= 36 + 36
= 72 square m.

Question 4.

Answer:
Surface area of the cylinder = 402.285 square inches.

Explanation:
Height of the cylinder = 12 inches.
Radius of the cylinder = 4 inches.
Surface area of the cylinder = 2π r h + 2π r²
= 2π × 4 × 12 + 2π × 4 × 4
= 2π × 48 + 2π ×16
= 2π (48 + 16)
= 2π × 64 ( π = \(\frac{22}{7}\))
= 128 × \(\frac{22}{7}\)
= \(\frac{2816 }{7}\)
= 402.285 square inches.

Question 5.

Answer:
Surface area of the cuboid = 340 square cm.

Explanation:
Length of the cuboid = 10 cm.
Width of the cuboid = 6 cm.
Height of the cuboid = 10 cm.
Surface area of the cuboid = 2(Length of the cuboid × Width of the cuboid) + 2(Width of the cuboid × Height of the cuboid) + 2(Height of the cuboid × Length of the cuboid)
= 2(10 × 6) + 2(6 × 10) + 2(10 × 10)
= 2(60) + 2(60) + 2(100)
= 120 + 120 + 100
= 240 + 100
= 340 square cm.

Question 6.

Answer:
Surface area of the cylinder = 358.285 square inches.

Explanation:
Height of the cylinder = 16 inches.
Radius of the cylinder = 3 inches.
Surface area of the cylinder = 2π r h + 2π r²
= 2π × 3 × 16 + 2π × 3 × 3
= 2π × 48 + 2π ×9
= 2π (48 + 9)
= 2π × 57
= 114 × \(\frac{22}{7}\)    (As π = \(\frac{22}{7}\))
= \(\frac{2508 }{7}\)
= 358.285 square inches.

 

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 21.4 Circle Graphs existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 21.4 Circle Graphs

Exercises

INTERPRET

Question 1.
Does the circle graph below support the idea that a large percentage of money spent on education is applied to non-instructional purposes? Explain your answer.

Answer:
No, only 4%.
Explanation:
The circle graph above shows the amount spent on education.
The idea does not support that a large percentage of money spent on education is applied to non-instructional purposes are only 4% of the total amount spent on education.

Question 2.
The graph below represents the distribution of colors in a bag of candies Should Patrick expect to pick an orange piece of candy if he only gets one pick? Explain your answer.

Answer:
No,
Explanation:
The distribution of colors in a bag of candies should Patrick expect is more likely to pick,
blue, green or red colors as the chance of picking of orange is less.

Question 3.
The circle graph below shows sales for the prior year at a popular shoe store in Dallas. According to the chart, during what month would the manager need the most employees working in the store? During what month would she need the fewest? Explain your answer.

Answer:
More employees in January and,
the fewest in February.
Explanation:
From the above given graph it is clearly shown that the manager need the most employees,
in January and the fewest in February to work in the store.

Question 4.
The circle graph below represents Maria’s favorite types of movies. What 2 genres, when added together, make up half of the movies Maria watches?

Answer:
Romance and Comedy,
Romance and Sci-fi.
Explanation:
The circle graph below represents Maria’s favorite types of movies,
when we add Romance and Comedy,
Romance and Sci-fi it make up half or 50% of the movies Maria watch.

Question 5.
Below is a circle graph showing a breakdown of some of the common toppings on a pizza. The crust and the cheese make up what percent of the pizza? How did you reach this answer?

Answer:
75% subtract the percentages that we know from 100%.
Explanation:
Above circle graph shows the breakdown of some of the common toppings on a pizza.
When we add the percentages of tomato sauce, mushrooms and sausages,
we get 12.5% + 5% + 7.5% = 25%
The percentage of crust and the cheese = total % – given %
100% – 25% = 75%

Question 6.
Below is a graph showing the costs for a manufacturer in New York City. Does it make sense that she wants to cut over 20% of her costs by focusing largely on reducing the budget for tools? Explain your answer.

Answer:
No, cutting tools only account for 3% of the total.
Explanation:
she wants to cut over 20% of her costs by focusing largely on reducing the budget for tools,
but cutting tools only account for 3% of the total as shown in the circle graph.

Question 7.
If you eliminate the two smallest sections of the circle graph below, what percentage of the total would you have left?

Answer:
91%
Explanation:
The two smallest sections of the circle are 4% and 5% = 9%
Total percentage of circle graph = 100%
100 – 9 = 91 %

Question 8.
According to the information in the circle graph below, is there one type of pie that is preferred by a majority of people? Explain your answer.

Answer:
No,
Explanation;
When we observe The Pie preferences from the above circle graph,
the largest category is Apple at 36%, which is not more than 50%.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 21.3 Double-Line Graphs existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 21.3 Double-Line Graphs

Exercises

INTERPRET

Question 1.
What sort of relationship can you see in the graph below between sales and profits?

Answer:
The higher the sales,
the higher the profits.
Explanation:
The above graph shows the relationship between sales and profits.
When the sales are higher, the profits are also high.

Question 2.
There is an old saying that “money does not buy happiness.” Does the double-line graph below support that? Why or why not?

Answer:
Yes,
Explanation:
From the above Juhan’s professional graph,
there is an increase in salary with the corresponding decrease in happiness.
Simultaneously when decrease in salary with the corresponding increase in happiness.

Question 3.
In this double-line graph, the life expectancy of males and females appears to stay at a constant difference of about 4 years. What is the good news for males in spite of this? Explain your answer.

Answer:
Males and Females are living longer.
Explanation:
The above double-line graph, the life expectancy at birth.
The males and females appears to stay at a constant difference of about 4 years.
The good news for males is females are also living longer.

Question 4.
Utilizing this triple-line graph. what conclusion can you reach about expenditures for the Criminal Justice system during the period 1982-2006?

Answer:
Expenditures are going up,
Explanation:
From the above triple line graph of Direct Expenditure of Criminal Justice System 1982-2006,
shows the expenditures are going up and police are going up faster than the other two areas.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 21.2 Line Graphs existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 21.2 Line Graphs

Exercises

INTERPRET

Question 1.
The guide at the Abracadabra Falls Visitor Center tells you that their tourist season lasts all year, not just in the winter or summer. Does the graph shown support this? Why or why not?

Answer:
yes,
Explanation:
The above chart The guide at the Abracadabra Falls Visitor Center tells,
that their tourist season lasts all year, not just in the winter or summer.
Because there seems to be a steady increase in visitors with no seasonal ups and downs.

Question 2.
The Northern Hemisphere experiences winter from December until March. During these months, the Southern Hemisphere is experiencing summer. Looking at the graph shown, is the area represented located in the Northern Hemisphere or Southern Hemisphere?

Answer:
Northern Hemisphere,
Explanation:
The above graph shows monthly temperatures in Fahrenheit,
when we observe the graph the temperatures are increasing every month.
So, the area represented located in the Northern Hemisphere.

Question 3.
If you are planning a family vacation, what would be the best 2 months to avoid earthquakes, according to the graph below?

Answer:
Month 2 and Month 9,
Explanation:
The above graph shows the Number of Earthquakes per month.
The best 2 months to avoid earthquakes for planning a family vacation are,
2nd and 9th months to avoid earthquakes.

Question 4.
Would the graph below support the claim that New Zealand had cut down on its overall greenhouse emissions during the period of 1990 to 2004?

Answer:
No,
Explanation:
The graph above support the claim that New Zealand had not cut down,
on its overall greenhouse emissions during the period of 1990 to 2004.

Question 5.
Look at the population graph below. Which years represent a steep interval?

Answer:
1800-1810,
Explanation:
The above graph shows the Population of Abracadabra from 1770-1940.
1800-1810 we can see the steep interval in the population growth.

Question 6.
Approximately how many people lived in the Southern Region of the U.S. in 1966, according to the line graph below?

Answer:
60 million,
Explanation:
The above graph shows the Population of Southern Region of the U.S.
In 1966 about 60 million people lived in U.S.

Question 7.
The weather reporter forecasted a warming trend for the six-day period shown in the graph below. How accurate was the forecast?

Answer:
Good, it got warm by day 6.
Explanation:
The weather reporter forecasted a warming trend for the six-day period shown in the graph above.
The accurate was good as it got warm by day 6.

Question 8.
The red line in the graph below shows the price of a stock during the period of April to December. What was the approximate high price during the period of April to November?

Answer:
46,
Explanation:
The red line in the graph above shows the price of a stock during the period of April to December.
The approximate high price during the period of April to November is 46.

Excel in your academics by accessing McGraw Hill Math Grade 7 Answer Key PDF Lesson 21.1 Bar Graphs existing for free of cost.

McGraw-Hill Math Grade 7 Answer Key Lesson 21.1 Bar Graphs

Exercises

INTERPRET

Question 1.
Your neighborhood diner is preparing breakfast for 100 hungry customers. Using the information in the chart below, what type of eggs should the cook prepare the least of?

Answer:
Soft Boiled,
Explanation:
The information in the chart above,
tells that soft boiled eggs are used to cook for the breakfast.

Question 2.
You are responsible for ordering food for all of the animals at the shelter. Using this chart, which two groups of animals would you order the least amount of food for?

Answer:
Birds and Hamsters,
Explanation:
The above chart shows the information of food for the animal shelter.
Birds and Hamsters are ordered the least amount of food.

Question 3.
According to the chart below, which aspect of the Sample Reading Profile gave students the most difficulty?

Answer:
Word meaning,
Explanation:
The information given in the sample reading profile,
Word reading or vocabulary is the most difficult to many of the students.

Question 4.
According to the chart below, what student won the ice cream eating contest?

Answer:
Juan,
Explanation:
From the above Ice-cream Eating Contest chart,
Juan won the contest by eating eight scoops.

Question 5.
The chart below shows the years of teaching experience for Pleasant Hill High School. Where do the majority of teachers fall?

Answer:
0-3 years,
Explanation:
The chart below shows the years of teaching experience for Pleasant Hill High School.
The majority of teachers fall from 0-3 years.

Question 6.
What two letter grades in the chart below had the lowest percentages of students receiving that grade?

Answer:
A and D,
Explanation:
From the above Test Grade chart,
the lowest percentages of students receiving A and D grades.

Question 7.
What conclusion can you make about student performance at Fitchburg State College from the chart below?

Answer:
About 45% of the students improved their performances.
Explanation:
From The Student performance at Fitchburg State College chart,
about 45% of the students improved their performances.

Question 8.
Can you make any conclusions about the trend of temperatures by looking at the chart below?

Answer:
It is getting warmer from 2000 – 2003
Explanation:
When we observe the given chart of Trend in Temperatures from 2000 to 2003,
the temperatures are increasing.