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 of pizza they ate. A list of his results follows. 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.(1 point) Responses The mean will increase by a lot. The mean will no longer be in the center of the data. The mean will increase by a lot. The mean will no longer be in the center of the data. The mean will stay the same. The mean will stay the same. The mean will decrease slightly but will still be in the center of the data. The mean will decrease slightly but will still be in the center of the data. The mean will increase slightly but will still be in the center of the data.

Answer 1

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

Adding another "6" to the dataset will increase the total sum of the data, thus causing the mean to increase slightly. Since the new data point is not significantly larger than the existing data points, the mean will still be within the range of the data and can be considered as the center of the data set.