indira makes a box - and - whisker plot of her data. she finds that the distance from the minimum value to…

indira makes a box - and - whisker plot of her data. she finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. which is most likely true?\nthe mean is greater than the median because the data is skewed to the right.\nthe mean is greater than the median because the data is skewed to the left.\nthe mean is less than the median because the data is skewed to the right.\nthe mean is less than the median because the data is skewed to the left.

indira makes a box - and - whisker plot of her data. she finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. which is most likely true?\nthe mean is greater than the median because the data is skewed to the right.\nthe mean is greater than the median because the data is skewed to the left.\nthe mean is less than the median because the data is skewed to the right.\nthe mean is less than the median because the data is skewed to the left.

Answer

Answer:

The mean is less than the median because the data is skewed to the left.

Explanation:

Step1: Understand box - and - whisker plot

In a box - and - whisker plot, the distance from the minimum to the first quartile ($Q_1$) and from the third quartile ($Q_3$) to the maximum gives information about skewness.

Step2: Analyze skewness

If the distance from the minimum to $Q_1$ is greater than the distance from $Q_3$ to the maximum, the data has a long left - tail. This indicates left - skewed data.

Step3: Recall relationship between mean and median in skewed data

In left - skewed data, the mean is pulled in the direction of the tail (left), so the mean is less than the median.