what percentage of the data values falls between the values of 27 and 45 in the data set shown?\n25 30 35 40…

Answer:

C. 75%

Explanation:

Step1: Identify quartile values

The box - and - whisker plot shows that the minimum value is 25, the first quartile ($Q_1$) is 30, the median ($Q_2$) is 35, the third quartile ($Q_3$) is 45, and the maximum value is 50.

Step2: Determine position of 27

Since 27 is greater than the minimum value of 25 and less than $Q_1 = 30$, values starting from just above 25 up to 45 cover from the start of the data set up to $Q_3$.

Step3: Calculate percentage

The percentage of data from the start of the data set up to the third - quartile ($Q_3$) is 75%. So the percentage of data values between 27 and 45 is 75%.