Kenneth surveyed 1000 people about the change in the balance of their bank accounts over the course of a week.

He recorded his data and calculated a mean and a median. Then, he realized that what he thought was the

maximum value in his data set should have been a negative value, making it the new minimum value in his data

set.

Which statement most likely describes the mean and the median of his new, corrected data set?

A Only the mean will be lower; the median must remain the same.

@ Only the median will be lower; the mean must remain the same.

• Both the mean and the median will be lower; the mean changed by a greater amount than the median.

Both the mean and the median will be lower; the median changed by a greater amount than the mean.

Question

Mathematics

Aliana Hays

1 April, 20:49

Kenneth surveyed 1000 people about the change in the balance of their bank accounts over the course of a week.

He recorded his data and calculated a mean and a median. Then, he realized that what he thought was the

maximum value in his data set should have been a negative value, making it the new minimum value in his data

set.

Which statement most likely describes the mean and the median of his new, corrected data set?

A Only the mean will be lower; the median must remain the same.

@ Only the median will be lower; the mean must remain the same.

• Both the mean and the median will be lower; the mean changed by a greater amount than the median.

Both the mean and the median will be lower; the median changed by a greater amount than the mean.

+1

Answers (1)

Know the Answer?

Justine Rocha · Answer 1

Option Both the mean and the median will be lower; the median changed by a greater amount than the mean

Step-by-step explanation:

The student swapped the values around. The mean and median values will be lower than the actual values.

In this case, the median was greatly affected by the mean value.