Question

A college statistics class conducted a survey of how students spend their money. They asked 25 students to estimate how much money they typically spend each week on fast food. They determined that the mean amount spent on fast food each week is $31.52 and the median is $32. Later they realized that a value entered as $2 should have been $20. They recalculate the mean and the median. Which of the following is true? Group of answer choices

a. The mean and median will increase.
b. The mean will increase, but the median will remain the same.
c. The mean will stay the same, but the median will increase.
d. Both the mean and median will remain the same.

Answer 1

Option B, The mean will increase, but the median will remain the same.

Explanation:

Given

Mean value is
`31.52` dollars

Median Value is
`32` dollar.

Mean is the average of all the units in a given set of data. Change in any of the number will change the mean.

Here the mean is 31.25

Total money would be
`31.25 * 25 = 781.25\\`

A number is changed from 2 to 20 , i.e addition of 18 dollars

the new mean would be 781.25 + 18/25 = 31.97

However, the median value is the value of the unit at the center of the arrangement. Hence, it will not change.

Option B is correct