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.