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. Following is a list of his results. Finds and interpret and mean of his data.

Number of Piece of Pizza Eaten: 1, 2, 2, 2, 3, 4, 4, 5, 6, 6.

A. The mean number if pieces of pizza eaten is 35. This means people ate a total of 35 pieces of pizza at the pizza party.

B. The mean number of pieces of pizza eaten is 3.5. This means people ate around 3.5 pieces of pizza on average at the pizza party.

C. The mean number if pieces of pizza eaten is 5. This means the difference between the greatest number of pieces of pizza eaten and the least number of pieces of pizza eaten is 5.

D. The mean number of pieces of pizza eaten is 3.5. This means each person at the pizza party ate at least 3.5 pieces of pizza.

Answer 1

Compute the mean: sum = 1+2+2+2+3+4+4+5+6+6 = 35, number of people = 10, so mean = 35/10 = 3.5.

Correct choice: B. The mean number of pieces eaten is 3.5, meaning on average each person ate about 3.5 pieces (some ate more, some less).

(Other choices are wrong: A gives the total, not the mean; C is incorrect about the mean and confuses it with the range; D is false because the mean does not imply every person ate at least that many.)