Question

Use the image to answer the question.

A vertical number line representing the number of push-ups ranges from 0 to 22 in increments of 2. A box plot to the right of the number line shows the following: the minimum value is 0; the maximum value is 21; the lower quartile is 6; the median value is 10; and the upper quartile is 14.

The box plot represents the number of push-ups a group of 6th graders were able to do. Approximately what percentage of 6th graders did between 6 and 14 push-ups?

(1 point)
Approximately
a
% of 6th graders did between 6 and 14 push-ups.
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Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the percentage of 6th graders who did between 6 and 14 push-ups, we need to calculate the interquartile range first. The interquartile range is the difference between the upper quartile and the lower quartile, which is 14 - 6 = 8.

Then, we calculate the total range of push-ups, which is the difference between the maximum value and the minimum value, which is 21 - 0 = 21.

The percentage of 6th graders who did between 6 and 14 push-ups is then given by the interquartile range divided by the total range and multiplied by 100:

(8/21) * 100 = 38.1%

Therefore, approximately 38.1% of 6th graders did between 6 and 14 push-ups.

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my previous response. Let's recalculate the percentage of 6th graders who did between 6 and 14 push-ups.

The interquartile range is the difference between the upper quartile and the lower quartile, which is 14 - 6 = 8.

To find the percentage of 6th graders who did between 6 and 14 push-ups, we need to calculate how many push-ups fall within that range.

From the box plot, we can see that the range of push-ups between 6 and 14 includes the lower quartile (6), all values in between, and the upper quartile (14). So, the percentage of 6th graders who did between 6 and 14 push-ups would be:

Number of push-ups between 6 and 14 = 8 (from the interquartile range)
Total number of push-ups represented in the box plot = 21 (maximum value)

Percentage of 6th graders who did between 6 and 14 push-ups = (8/21) * 100% ≈ 38.1%

Therefore, approximately 38.1% of 6th graders did between 6 and 14 push-ups. Thank you for your patience.