which of the following statements must be true about the data sets a and b displayed in the histograms above?

1 answer:

5 0

Based on the dispersion of the data in the attached diagram, we can say that a. The standard deviation of data set A is greater than the standard deviation of data set B.

Standard deviation:

Is used to check how far apart the data in a set are
Is calculated by square rooting the variance

When the standard deviation is high, it means that the data in a set are spread apart which is the case with dataset A as we can see that the frequencies are 8, 2, 1, 2, and 8. The 8s and the 2s are quite far apart so the standard deviation here is significant.

In the case of dataset B, the standard deviation is not as much as most of the frequencies are close to each other - 1, 2, 8, 2, 1.

In conclusion, dataset B has a lower standard deviation than dataset A.

Find out more at brainly.com/question/15040200.

Options for this question include:

a. The standard deviation of data set A is greater than the standard deviation of data set B.

b. The mean of data set A is equal to the mean of data set B

c. The median of data set A is equal to the median of data set B.

d. The range of data set A is equal to the range of data set B.

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