The standard deviation of the data displayed in this dotplot is most likely to be…
A) 5
B) 20
C) 12
D) 18
E) 8

Question

The standard deviation of the data displayed in this dotplot is most likely to be… 
A) 5 
B) 20 
C) 12 
D) 18 
E) 8

Quizplus · Accepted Answer

Based on the spread of the data in the dotplot, it appears to have a range of around 60, with the middle of the data clustering around 40. A standard deviation of 12 would be reasonable based on this distribution. A standard deviation of 5 would be too small given the spread of the data, while a standard deviation of 20, 18, or 8 would be too large given the clustering of the data around the middle values.

The Standard Deviation of the Data Displayed in This Dotplot