Question

consider the horizontal box - plot shown to the right. what percentage of the measurements in the data set lie to the left of the upper quartile? what percentage of the measurements in the data set lie to the right of the median? a. the data is symmetric. b. the data is skewed left. c. there is insufficient information to determine the shape of the data.

Explanation:

Step1: Recall quartile concept

In a box - plot, the upper quartile (Q3) divides the data set such that 75% of the data lies below it and 25% lies above it. So the percentage of data to the left of the upper quartile is 75%.

Step2: Recall median concept

The median divides the data set into two equal parts. So 50% of the data lies to the right of the median.

Answer:

The percentage of the measurements in the data - set that lie to the left of the upper quartile is 75%. The percentage of the measurements in the data - set that lie to the right of the median is 50%.