Question

Math

Posted 3 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 3 months ago

Solution by Steps

step 2

To find the median of Ana's scores after the round of 80, we use the asksia-ll calculation from step 4: median | {95, 95, 95, 97, 80}, which gives us $95$

step 3

The original mean and median before the round of 80 were both 97. After including the round of 80, the new mean is 92.4 and the median is 95

step 4

Comparing the new mean and median to the original, we see that both have decreased. The mean has decreased from 97 to 92.4, and the median has remained the same at 95

1 Answer

C

Key Concept

Impact of an additional data point on mean and median

Explanation

Adding a score lower than the original mean and median will decrease the mean more significantly than the median, especially when the median remains unchanged due to the symmetry of the original data set.

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