Impacts of Changes in Data Quick Check

Question

3 of 53 of 5 Items

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. A list of his results follows. Aziz uses his results to calculate that the range for number of pieces of pizza eaten is 6, and the interquartile range is 4.

Number of Pieces of Pizza Eaten: 6, 2, 1, 2, 4, 5, 2, 2, 4, 6, 7

After calculating the range and the interquartile range, Aziz realizes he forgot to include himself! He ate 3 pieces of pizza.

Determine the range and interquartile range after a “3” is added to the dataset. Describe how adding a “3” to the dataset impacts the range and the interquartile range.

(1 point)
Responses

The range is now 7, and the interquartile range is now 3.5. Both the range and the interquartile range changed slightly.
The range is now 7, and the interquartile range is now 3.5. Both the range and the interquartile range changed slightly.

The range is still 6, and the interquartile range is still 4. Both the range and the interquartile range stayed the same.
The range is still 6, and the interquartile range is still 4. Both the range and the interquartile range stayed the same.

The range is now 7, but the interquartile range is still 4. The range increased slightly, but the interquartile range stayed the same.
The range is now 7, but the interquartile range is still 4. The range increased slightly, but the interquartile range stayed the same.

The range is still 6, but the interquartile range is now 3.5. The range stayed the same, but the interquartile range changed slightly.

Answer 1

The range is now 7, but the interquartile range is still 4. The range increased slightly, but the interquartile range stayed the same.

Adding a "3" to the dataset increased the range because the new maximum value is now 7. However, since the median didn't change with the addition of "3," the interquartile range remains the same at 4.5. This demonstrates that the range is sensitive to extreme values, while the interquartile range is more resistant to outliers.