Question

The back-to-back stem and leaf diagram shows the percentage score of boys and girls in a class for a German test. Work out the median for boys

Answer 1

71.5%

Explanation:

First, we need to state out each score of the boys for the German class test from the given stem and leaf diagram given:

We would have the following data set for boys=> 35, 37, 40, 43, 50, 52, 69, 74, 78, 81, 81, 94, 96, 98

The number of values we have is 14. Therefore, our median value lies between the 7th and 8th value. The average of the 7th and the 8th score would be the median score for boys. Thus,

35, 37, 40, 43, 50, 52, |69, 74,| 78, 81, 81, 94, 96, 98

Median = (69+74) ÷ 2 = 143/2 = 71.5%