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plbak

Hello!

To find the closet number we first need to understand how our data, and how to find the mean.

The mean is known as the average, which we find when we add all of our data up and divide by the number of factors.

In this case, after reading our graph, our data set is equal to:

3,4,4,4,4,5,5,5,5,5,6,6,6,6,7,7,8,9,10,11

When all of these numbers are added we get = 120

120 divided by 20 (the total number of factors) is equal to 6!

Which means that the answer to this question is E. 6

Hope this helps.

Lanuel

Based on the calculations, a number which is closest to the mean of this distribution is equal to: E. 6.

What is a mean?

A mean is also known as arithmetic average and it's a ratio of the sum of the total number in a data set to the frequency of the data set.

How to calculate the mean?

Mathematically, the mean for this data set would be calculated by using this formula:

Mean = [F(x)]/n

For the total number of data, we have:

F(x) = 3 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 8 + 9 + 10 + 11

F(x) = 120.

Substituting the parameters into the formula, we have:

Mean = [F(x)]/n

Mean = [120]/20

Mean = 6.

Read more on mean here: https://brainly.com/question/9550536

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