Question

Aziz wonders how many pieces of pizza people tend to eat at a pizza party. He 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(1 point) Responses 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. 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. 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. 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. 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 of pizza. 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 of pizza. The median number of pieces of pizza eaten is 3.73. This means on average, each person ate 3.73 pieces of pizza at the party.

Answer 1

To find the median of the data set, we first need to organize the number of pieces of pizza eaten in ascending order:

• The original data: 6, 2, 1, 2, 4, 5, 2, 2, 4, 6, 7
• Sorted data: 1, 2, 2, 2, 2, 4, 4, 5, 6, 6, 7

Since there are 11 data points (an odd number), the median will be the middle number. The middle position can be found using the formula:

\[ \text{Median position} = \frac{n + 1}{2} \]

where \(n\) is the number of data points. For our data set (\(n = 11\)):

\[ \text{Median position} = \frac{11 + 1}{2} = \frac{12}{2} = 6 \]

Now, we look for the 6th number in the sorted list:

1. 1
2. 2
3. 2
4. 2
5. 2
6. 4 (this is the 6th number)
7. 4
8. 5
9. 6
10. 6
11. 7

The median number of pieces of pizza eaten is 4.

Interpretation: 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 of pizza.

Thus, the correct response is: 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 of pizza.