Question

a track coach recorded the time it took for each of her athletes to run a mile. she plans to display the results with a histogram. which of the following will it show? select all that apply. the median time the number of athletes each athletes time the mean time the distribution of the athletes times

Explanation:

A histogram is a graphical representation of the distribution of numerical data. It groups data into intervals (bins) and shows the frequency (number of data points) in each bin.

• The number of athletes: The height of each bar in the histogram represents the number of athletes (frequency) with times in that interval. So it can show the number of athletes in each time interval.
• The distribution of the athletes' times: A histogram's main purpose is to show how data (here, athletes' mile - run times) is distributed across different intervals. It shows the shape of the data (e.g., if it's symmetric, skewed, etc.), which is the distribution of the times.

The median and mean are not directly shown by a histogram (they need to be calculated from the data, not visually read from the histogram). Also, a histogram groups data into intervals and shows the number of athletes in each interval, not each athlete's individual time (a dot - plot or a list would show individual times).

Answer:

the number of athletes, the distribution of the athletes' times