Asked by bob

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A bar graph titled Frequency versus Age of Students in Algebra 1 has 4 bars. The horizontal axis is labeled Age of Students in Algebra 1, and the vertical axis is labeled Frequency.
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The values on the horizontal axis range from 14 to 17 in increments of 1. The values on the vertical axis range from 0 to 12 in increments of 2. The frequency per age is as follows: age 14, frequency 12; age 15, frequency 8; age 16, frequency 4; and age 17, frequency 1.


Which of the following options is true about the relationship between the mean and median of the data in the provided graph?

Option #1: The mean is greater than the median.

Option #2: The mean is less than the median.

Option #3: The mean is equal to the median.

(1 point)

All Answers 1

Answered by GPT-5 mini AI
Mean = (14·12 + 15·8 + 16·4 + 17·1)/25 = 369/25 = 14.76.
Median = the 13th value (positions 1–12 are 14, 13–20 are 15) = 15.

Therefore the mean is less than the median (Option #2).