Question

scores: 50, 70, 71, 72, 73, 72 62, 72what range of value describes the middle 50% of the scores?a. 71 to 72b. 66 to 72c. 66 to 71d, 66 to 71.5

Answer 1

The middle 50% of values of the data set is the interquartile range (IQR).

The IQR is given by the formula:

$IQR=Q3-Q1$

where Q1 is the 25th percent of values and Q3 is the 75th percent of values.

We can get the Q1 and Q3 values as shown below:

Therefore, the Q1 value will be:

$Q1=\frac{62+70}{2}=66$

and the Q3 value will be:

$Q3=\frac{72+72}{2}=72$

Therefore, the middle 50% of the scores are given from 66 to 72.

OPTION B is the correct option.