Question

estimate the mean and median of the data in the histogram, and then determine which of the following statements is true about the data. (1 point) the mean of the data set is greater than the median. the mean of the data set is equal to the median. the mean of the data set is less than the median. the median is 5.

Explanation:

Step1: Calculate total frequency

$1 + 2+2 + 3+8+6=22$

Step2: Find median position

Median is at $\frac{22 + 1}{2}=11.5$ -th value, which is in the 7 - hour bin.

Step3: Estimate mean

$\text{Mean}=\frac{2\times1 + 3\times2+5\times2 + 6\times3+7\times8+8\times6}{22}\approx6.36$

Answer:

The mean of the data set is greater than the median.