Question

Find the interquartile range of the following data set.

Number of Points Scored at Ten Basketball Games
57 63 44 29 36 62 48 50 42 34

A.21
B.28
C.6
D.34

Answer 1

`\huge \boxed{\sf A. \ 21}`

Explanation:

The data set is given,

`\sf 57 \ 63 \ 44 \ 29 \ 36 \ 62 \ 48 \ 50 \ 42 \ 34`

Arrange the data set in ascending order.

`\sf 29 \ 34 \ 36 \ 42 \ 44 \ 48 \ 50 \ 57 \ 62 \ 63`

Split the data set into two equal sets.

`\sf 29 \ 34 \ 36 \ 42 \ 44 \ \ \ 48 \ 50 \ 57 \ 62 \ 63`

Find the median of the lower half and upper half.

`\sf Median \ of \ lower \ half = 36`

`\sf Median \ of \ upper \ half = 57`

Interquartile range = median of upper half - median of lower half

`\sf IQR = 57 - 36`

`\sf IQR = 21`

The interquartile range for the number of points scored at ten basketball games is 21.

Answer 2

`\huge\boxed{IQR = 21}`

Explanation:

The data set given is:

57,63,44,29,36,62,48,50,42,34

Arrange in ascending order:

29,34,36,42,44,48,50,57,62,63

Place parenthesis around the number making two equal sets.

(29,34,36,42,44) | (48,50,57,62,63)

↑ ↑

Q1 Q3

Q1 = 36 , Q3 = 57

So, IQR = Q3-Q1

IQR = 57-36

IQR = 21