Question

The graph shows a distribution of data.

A graph shows the horizontal axis numbered 1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 1 to 2 then a downward trend from 2 to 3.


What is the standard deviation of the data?


0.5

1.5

2.0

2.5

Answer 1

0.5

Explanation:

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Answer 2

0.5

Explanation:

From the picture, it is known that 2 is the mean, and it is deduced (by the presence of the dotted lines) that 2.5 is located at the mean plus one standard deviation, and 1.5 is located at the mean minus one standard deviation. Then the standard deviation of the data is 2.5 - 2 = 2 - 1.5 = 0.5