Question

Which of the following is true of the data set represented by the box plot?

The greatest value in the set is 79.
The data is evenly distributed throughout the middle half.
The data has an IQR of 45.
Removing the outliers would not affect the median

Answer 1

Answer: D

Explanation:

Process of elimination

Answer 2

Since it's a normal distribution & since IQR =45, we can deduce that the mean is at 22.5, Q1=22.5 & Q3=67.5.

We know that all values smaller than [Q1-1.5(IQR)] or greater than [Q3+1.5(IQR)] are considered as outliers.

Removing the outliers do not legally affect the Median