Question

what percentage of the data values falls between the values of 27 and 45 in the data set shown? 25 30 35 40 45 50 25% 50% 75% 100%

Explanation:

Step1: Identify quartile positions

The box - and - whisker plot shows that 27 is approximately the minimum value (the start of the lower whisker) and 45 is the third - quartile value ($Q_3$).

Step2: Recall quartile percentage rule

The first quartile ($Q_1$) represents 25% of the data, the second quartile ($Q_2$ or median) represents 50% of the data, and the third quartile ($Q_3$) represents 75% of the data. The percentage of data between the minimum and $Q_3$ is 75%.

Answer:

75%