Aziz wonders whether most people tend to eat the same number of pieces of pizza at a pizza party or whether the amount people eat varies a lot. He surveys 10 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 range of his data.

Question

Number of Pieces of Pizza Eaten: 3, 2, 6, 2, 1, 4, 2, 5, 4, 6(1 point)
Responses

The range is 3 pieces. This means the difference between the maximum number of pieces eaten and the minimum number of pieces eaten is 3 pieces.
The range is 3 pieces. This means the difference between the maximum number of pieces eaten and the minimum number of pieces eaten is 3 pieces.

The range is 35 pieces. This means people ate a total of 35 pieces of pizza at the pizza party.
The range is 35 pieces. This means people ate a total of 35 pieces of pizza at the pizza party.

The range is 5 pieces. This means the difference between the maximum number of pieces eaten and the minimum number of pieces eaten is 5 pieces.
The range is 5 pieces. This means the difference between the maximum number of pieces eaten and the minimum number of pieces eaten is 5 pieces.

The range is 3.5 pieces. This means people tended to eat about 3.5 pieces.

Answer 1

To find the range of the data, we first need to identify the maximum and minimum values from the number of pieces of pizza eaten.

The data given is: 3, 2, 6, 2, 1, 4, 2, 5, 4, 6.

1. Identify the maximum and minimum values:

   • Maximum: 6 pieces
   • Minimum: 1 piece

2. Calculate the range: \[ \text{Range} = \text{Maximum} - \text{Minimum} = 6 - 1 = 5 \text{ pieces} \]

Therefore, the range is 5 pieces, which means the difference between the maximum number of pieces eaten and the minimum number of pieces eaten is 5 pieces.

So, the correct interpretation would be: The range is 5 pieces. This means the difference between the maximum number of pieces eaten and the minimum number of pieces eaten is 5 pieces.