Question

the following box plot shows the distributions of total cholesterol levels in boys and girls 10 - 15 years of age. what percent of girls have total cholesterol less than 210? 75% 50% 25% 0%

Explanation:

Step1: Recall box - plot properties

In a box - plot, the lower quartile ($Q_1$) represents the 25th percentile, the median ($Q_2$) represents the 50th percentile, and the upper quartile ($Q_3$) represents the 75th percentile.

Step2: Identify position of 210 on girls' box - plot

The value 210 is at the upper quartile ($Q_3$) of the girls' box - plot.

Step3: Determine the percentage

Since $Q_3$ represents the 75th percentile, 75% of the data values are less than or equal to $Q_3$. So, 75% of girls have total cholesterol less than 210.

Answer:

75%