Question

Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closest to the mean of this distribution?

A. 7
B. 5
C. 9
D. 4
E. 3

Answer 1

Considering the given histogram, the mean of the data-set is closest to:

B. 5.

What is an histogram?

An histogram is a graph that shows the number of times each element of x was observed.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Hence, considering the histogram, the mean is given by:

M = (1x1 + 2x2 + 3x3 + 4x1 + 5x1 + 6x2 + 7x3 + 8x1 + 9x1)/(1 + 2 + 3 + 1 + 1 + 2 + 3 + 1 + 1) = 4.87.

Which is closest to 5, hence option B is correct.

More can be learned about histograms at https://brainly.com/question/26622630

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