Question

Aziz wonders how many pieces of pizza people tend to eat at a pizza party. He surveys 10 people at the end of a pizza party and asks them how many pieces not pizza they ate. A list of his results follow. Aziz uses his results to calculate that the mean number of pieces of pizza eaten is 3.5.
Number of Pieces of Pizza Eaten: 1, 2, 2, 2, 3, 4, 4, 5, 6, 6

After calculating the mean, Aziz realizes he forgot to include himself! He ate 6 pieces of pizza. Describe how adding another "6" to the dataset will impact the mean.

A. The mean will decrease slightly but will still be in the center of the data.

B. The mean will increase by a lot. The mean will no longer be in center of the data.

C. The mean will stay the same.

D. The mean will increase slightly but will still be in the center of the data.

Answer 1

D.

Original mean = 35/10 = 3.5. Add another 6 → new sum = 41, new n = 11, new mean = 41/11 ≈ 3.727. Since 6 > 3.5 the mean increases, but only slightly (from 3.5 to ≈3.73) and remains a central measure of the data.