Question

A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Give an interval of typical test scores that represents the middle 50% of grade distribution.

Answer 1

(67, 81)

Explanation:

Given that :

Five number summary of scores :

55, 67, 73, 81, 98

Five number summary :

Minimum = 55

Lower quartile = 67

Median = 73

Upper quartile = 81

Maximum = 98

Interval which represents the middle 50% of the grade distribution is the interquartile range, which is the difference between the upper and lower quartile

Hence the interval is ;

Q1, Q3

Q1 = 67 ; Q3 = 81

(67, 81)