Question

This histogram shows the distribution of exam scores for a class of 33 students. which of the following is the most reasonable estimate for the median 50, 75, or 85?​

Answer 1

`Median = 75`

Step-by-step explanation:

Given

`n = 33`

See attachment for histogram

Required

Determine the median

Median is calculated as:

`Median = (n+1)/(2)th`

`Median = (33+1)/(2)th`

`Median = (34)/(2)th`

`Median = 17th`

From the histogram, the 17th entry fall in the class: 70 - 80

In this case: the median is the average of 70 and 80

So:

`Median = (1)/(2)(70 + 80)`

`Median = (1)/(2)(150)`

`Median = 75`