Question

A group of 4 friends likes to golf together, and each friend keeps track of her all-time lowest score in a single round. Their low scores are all between 90and 100 except for Angie, whose low score is 80.
Angie then golfs a great round and has a new low score of 75.

How will decreasing Angie's low score affect the mean and median?




Both the mean and median will decrease

The median will decrease, and the mean will stay the same

The mean will decrease, and the median will stay the same

The mean will decrease, and the median will increase

Answer 1

Answer:

The mean will decrease, and the median will stay the same.

Step-by-step explanation:

How does decreasing Angie's low score affect the median?

The median is the mean of the 2nd and 3rd score when the low scores are put in order from least to greatest because there are 4 friends.

Decreasing Angie's low score (the 1st low score) doesn't affect the 2nd or the 3rd  low score, so the median stays the same.

How does decreasing Angie's low score affect the mean?

Let's remember how to calculate the mean:

mean=sum of low scores/number of friends

Decreasing Angie's low score from 80 to 75 decreases the sum of the low scores and doesn't change the number of friends, so the mean decreases.

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Answer 2

To find the median you list out all the numbers and find the middle.

80, 90, 100

With angie getting 75, it goes from "80, 90, 100" to "75, 80, 90, 100"

This changes the median from 90 to 85. 

Mean is the average of all the numbers. The average of the first set of numbers (Found by adding all of the numbers up and dividing by the amount of numbers present) is 90.

The mean of the second set is 86.25

The answer would be A, both the mean and median will decrease.