Question

Ana played 5 rounds of golf, and her lowest score was an 80

Answer 1

The removal of the lowest round will affect the median, by changing it from 92 to 93, and the mean from 90.4 to 93

Answer 2

Median changed from 92 to 93

Mean changed from 90.4 to 93

Explanation:

We have to determine the mean and median in both case: considering the lowest value and eliminate it.

The mean of a group of values is calculated adding all the values and then dividing the result by the total amount of values

For example: let x,y,z, a group of values and M the mean of the group

`M=(x+y+z)/(3)`

The median of a group of values is calculated ordening all the values from the lowest to the highest value and then determining the central value, where if the amount of values is odd, the central value is the middle value, or if the amount of values is pair, the central value is the mean of the two middle values.

For example: let 2,3,4,5,6 the values of a group

Case A) Odd number: From 2,3,4,5,6 values, the median is 4

Case B) Pair number: From 2,3,4,5 values, the median is
`(3+4)/(2)=3.5`

Resolving the question:

First case: considering the lowest value

Values:
`80, 90, 92, 94, 96`

Mean:
`(80+90+92+94+96)/(5) =90.4`

Median: 92

Second case: eliminate the lowest value

Values:
`90, 92, 94, 96`

Mean:
`(90+92+94+96)/(4) =93`

Median:
`(92+94)/(2)=93`

Finally, if the lowest value is eliminated:

Median will change from 92 to 93

Mean will change from 90.4 to 93