Practice questions available in **McGraw Hill Math Grade 6 Answer Key PDF** **Lesson 25.1 Measures of Central Tendency (Mean, Median, Range)** will engage students and is a great way of informal assessment.

## McGraw-Hill Math Grade 6 Answer Key Lesson 25.1 Measures of Central Tendency (Mean, Median, Range)

**Exercise**

**CALCULATE**

Question 1.

What is the range for this set of numbers?

1, 8, 14, 22, 13, 19

Answer:

Given data is 1, 8, 14, 22, 13, 19

lowest number = 1

highest number = 22

range = high – low

range = 22 – 21

So, the range of the number is 21

Question 2.

What is the average for this set of numbers?

2, 2, 3, 3, 4, 6, 6, 10

Answer:

Given data is 2, 2, 3, 3, 4, 6, 6, 10

lowest number = 2

highest number = 10

Range = 10 – 2 = 8

So, the range of the number is 8.

Question 3.

What is the mode of this set of numbers?

2, 5, 10, 15, 6, 5, 6, 2, 5

Answer:

Given data is 2, 5, 10, 15, 6, 5, 6, 2, 5

2 – 2 times

5 – 3 times

6 – 2 times

10 – 1 time

15 – 1 time

The number 5 is repeated 3 times.

So, the mode is 5.

Question 4.

What is the median for this set of numbers?

3, 7, 2, 8, 9, 4, 6

Answer:

Given data 3, 7, 2, 8, 9, 4, 6

Set the numbers in the ascending or descending order.

2, 3, 4, 6, 7, 8, 9

The Median is the middle number.

Here 6 is in the middle.

So, the median is 6.

Question 5.

What is the range for this set of numbers?

2, 4, 9, 34, 35, 42, 15, 14

Answer:

Given data is 2, 4, 9, 34, 35, 42, 15, 14

Low number = 2

Highest number = 42

Range = 42 – 2

Range = 40

So, the range of the numbers is 40.

Question 6.

What is the mean for this set of numbers?

10, 20, 30, 69, 79, 89, 3

Answer:

Given data is 10, 20, 30, 69, 79, 89, 3

Mean = sum of observations/number of observations

Mean = (10 + 20 + 30 + 69 + 79 + 89 + 3)/7

Mean = 42.8

So, the mean of the set of numbers is 42.8

Question 7.

George earns tips of $10 for Sunday, $15 for Monday, and $35 for Tuesday. What is the average of his tips for the three days?

Answer:

Given data,

George earns tips of $10 for Sunday, $15 for Monday, and $35 for Tuesday.

Average = (10 + 15 + 35)/3

Average = 60/3

Average = 20

Therefore the average of his tips for the three days is $20.

Question 8.

If a group of 20 students in a class has an average age of 13 years, what would happen to the average if a student who was 12 years old was replaced with a student who was 14 years old?

Answer:

The average age of 20 students is 13.

sum/20 = 13

sum = 13 × 20

sum = 260

average = (12 + 14)/2 = 13

If 12 years old was replaced with a student who was 14 years old

average = (14 + 14)/2 = 14

So, the average becomes 14.