This handy Math in Focus Grade 6 Workbook Answer Key Chapter 14 Measures of Central Tendency detailed solutions for the textbook questions.

## Math in Focus Grade 6 Course 1 B Chapter 14 Answer Key Measures of Central Tendency

### Math in Focus Grade 6 Chapter 14 Quick Check Answer Key

**Divide.**

Question 1.

16.5 ÷ 2

Answer:

8.25

Explanation:

The given expression is:

16.5 ÷ 2

We know that,

The number before “÷” is called a “Dividend”

The number after “÷” is called a “Divisor”

Now, by using the Long Division,

Hence, from the above,

We can conclude that the value of 16.5 ÷ 2 is: 8.25

Question 2.

48.09 ÷ 7

Answer:

6.87

Explanation:

The given expression is:

48.09 ÷ 7

We know that,

The number before “÷” is called a “Dividend”

The number after “÷” is called a “Divisor”

Now, by using the Long Division,

Hence, from the above,

We can conclude that the value of 48.09 ÷ 7 is: 6.87

**Find the average of each data set.**

Question 3.

2, 4, 16, 18

Answer:

10

Explanation:

The given data set is:

2, 4, 16, 18

We know that,

Average = \(\frac{The sum of the given data set}{The number of data present in the data set}\)

So, Average = \(\frac{2 + 4 + 16 + 18}{4}\)

= \(\frac{40}{4}\)

= 10

Hence, from the above,

We can conclude that the average of the given Data set is: 10

Question 4.

3, 5, 7, 8, 21, 31

Answer:

12.5

Explanation:

The given data set is:

3, 5, 7, 8, 21, 31

We know that,

Average = \(\frac{The sum of the given data set}{The number of data present in the data set}\)

So, Average = \(\frac{3 + 5 + 7 + 8 + 21 + 31}{6}\)

= \(\frac{75}{6}\)

= 12.5

Hence, from the above,

We can conclude that the average of the given Data set is: 12.5

Question 5.

$14, $30, $32, $50

Answer:

$31.5

Explanation:

The given data set is:

$14, $30, $32, $50

We know that,

Average = \(\frac{The sum of the given data set}{The number of data present in the data set}\)

So, Average = \(\frac{$14 + $30 + $32 + $50}{4}\)

= \(\frac{$126}{4}\)

= $31.5

Hence, from the above,

We can conclude that the average of the given Data set is: $31.5

Question 6.

25 ft, 32 ft, 45 ft, 55 ft, 75 ft

Answer:

46.4 ft

Explanation:

The given data set is:

25 ft, 32 ft, 45 ft, 55 ft, 75 ft

We know that,

Average = \(\frac{The sum of the given data set}{The number of data present in the data set}\)

So, Average = \(\frac{25 ft + 32 ft + 45 ft + 55 ft + 75 ft}{5}\)

= \(\frac{232 ft}{5}\)

= 46.4 ft

Hence, from the above,

We can conclude that the average of the given Data set is: 46.4 ft