Question

The graph shows a distribution of data. A graph shows the horizontal axis numbered 0.1 to x. The vertical axis is unnumbered. The graph shows an upward trend from 0.1 to 0.5 then a downward trend from 0.5 to 1. Which statement about the data is true? The data has a standard deviation of 0.1. The mean of the data is greater than 0.5. A value of 0.7 is within 1 standard deviation of the mean. A value of 0.9 is more than 2 standard deviations from the mean.

Answer 1

D. A value of 0.9 is more than 2 standard deviations from the mean

Explanation:

In the figure attached, the distribution of data is shown.

From the picture we can see that:

• The data has a standard deviation of 0.15 (= 0.5 - 0.35 = 0.65 - 0.5)

• The mean of the data is 0.5

• A value of 0.7 is more than 1 standard deviation of the mean.

• A value of 0.9 is more than 2 standard deviations from the mean (0.8 is 2 standard deviations from the mean)