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 90 and 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?

Answer 1

Answer: Mean get decreased and median remains same.

Explanation:

Given: The low scores of all 4 friends are all between 90 and 100, except for Angie, whose low score is 80.

i.e. Angie is an outlier.

[An outlier is an extreme value which lies far from the other data values.]

Angie then golfs a great round and has a new low score of 75.

i.e. more lower value.

Since Mean gets effected by an outlier but median remains same.

Here, value of new outlier(75) is less than the previous one (80), so mean score will get decreased, where as median (middle most value in ordered data) remains the same.