Question

Aziz wonders how many pieces of pizza people tend to eat at a pizza party. Hey surveys 11 people at the end of a pizza party and asks them how many pieces of pizza they ate. His results follow. Find and interpret the median of his data.

Number of Pieces of pizza eaten: 6, 2, 1, 2, 4, 5, 2, 2, 4, 6, 7.

A. The median number of pieces of pizza eaten is 3.73. This means on average, each person ate 3.73 piece s of pizza at the party.

B. The median number of pieces of pizza eaten is 3. This means about half the people at the party ate 3 or more pieces of pizza, and about half the people at the party ate 3 or fewer pieces of pizza.

C. The median number of pieces of pizza eaten is 4. This means about half the people at the party ate 4 or more pieces of pizza, and about half the people at the party ate 4 or fewer pieces.

D. The median number of pieces of pizza eaten is 5. This means about half the people at the party ate 5 or more pieces of pizza, and about half the people at the party ate 5 or fewer pieces of pizza

Answer 1

Sort the data: 1, 2, 2, 2, 2, 4, 4, 5, 6, 6, 7. With 11 observations the median is the 6th value, which is 4.

Answer: C. The median is 4 — the middle person ate 4 pieces. About half the people ate fewer than 4 pieces (5 people), two ate exactly 4, and four ate more than 4.