Question

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

box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86

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

Removing the 16 and 86 would not effect the median.

Explanation:

Answer 2

Removing the outliers would not affect the median.

Explanation:

The outliers represent those values that lie outside, that is, they are much smaller or much larger than the rest of the values.

So, in this case, outliers refer to the least and greatest value, if we remove them, the median would be the same, because they median is the center of all values, so, if we eliminate the least and the greatest at the same time, the center would remain the same.

The only way to affect the median is by eliminating the least or the greatest value, if we eliminate just one of them, the median would be affected.

Therefore, the right answer is the last choice.