the organizers of the red maple college fun run gathered data about the runners ages. this box plot shows…

the organizers of the red maple college fun run gathered data about the runners ages. this box plot shows the results. runners ages what percent of the runners were between 20 and 45 years old? % submit

the organizers of the red maple college fun run gathered data about the runners ages. this box plot shows the results. runners ages what percent of the runners were between 20 and 45 years old? % submit

Answer

Answer:

75

Explanation:

Step1: Understand box - plot quartiles

A box - plot divides data into quartiles. The first quartile ($Q_1$) is at 25, the median ($Q_2$) is around 30, and the third quartile ($Q_3$) is at 45. The minimum value is 15 and the maximum is 65.

Step2: Determine the range of interest

We want the percentage of runners between 20 and 45. Since 20 is between the minimum and $Q_1$ and 45 is $Q_3$.

Step3: Calculate the percentage

The inter - quartile range (IQR) which is from $Q_1$ to $Q_3$ represents 50% of the data. The data from the minimum to $Q_1$ represents 25% of the data. The range from 20 (which is in the first 25% range) to 45 ($Q_3$) covers 25% (from min to $Q_1$) + 50% (from $Q_1$ to $Q_3$) = 75% of the data.