Use the range rule of thumb to approximate the standard deviation.
-A distribution of data has a maximum value of 78, a median value of 51, and a minimum of 24. Round results to the nearest tenth.
A) $13.5$
B) $7.2$
C) $27.0$
D) $10.8$

Question

Use the range rule of thumb to approximate the standard deviation.
-A distribution of data has a maximum value of 78, a median value of 51, and a minimum of 24. Round results to the nearest tenth. 
A) $13.5$
B) $7.2$
C) $27.0$
D) $10.8$

Quizplus · Accepted Answer

The range rule of thumb states that the standard deviation is approximately equal to one-fourth of the range. The range is the difference between the maximum and minimum values. In this case, the range is 78 - 24 = 54. Therefore, the standard deviation is approximately 54 / 4 = 13.5.

Use the Range Rule of Thumb to Approximate the Standard 13.513.513.5

Use the Range Rule of Thumb to Approximate the Standard $13.5$