Question

Math

Posted 6 months ago

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Ana played 4 rounds of golf. Her scores for those rounds had a mean and median of 97.
Then, she played a round with a score of 80 .
Here's a dot plot showing these scores:
How did the round where Ana scored 80 change the mean and median?
Choose 1 answer:
(A) The median decreased, and the mean increased.
(B) The mean decreased, and the median increased.
(c) Both the median and mean decreased, but the mean decreased by more than the median.
(D) Both the median and mean decreased, but the median decreased by more than the mean.
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Answer from Sia

Posted 6 months ago

Solution by Steps

step 2

The sum of all scores including the fifth round is 97 + 97 + 97 + 97 + 80 = 468

step 3

The number of rounds is now 5

step 4

The new mean is 468 / 5 = 93.6

step 5

The original mean was 97, so the new mean after the fifth round is lower

step 6

Calculate the new median after Ana scored 80 in the fifth round. The scores in order are 80, 97, 97, 97, 97

step 7

The median is the middle number, so the new median is the third score when arranged in ascending order, which is 97

step 8

The original median was 97, so the median remains unchanged after the fifth round

1 Answer

C

Key Concept

Mean and Median

Explanation

The mean is the average of all the values, and it decreases when a lower value is added to the dataset. The median is the middle value when the data is ordered, and it remains unchanged if the new value does not fall in the middle of the dataset. In this case, the mean decreased, but the median remained the same after Ana's fifth round.

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