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. 6
B. 9
C. 4
D. 3
E. 5

Answer 1

Answer: A. 6

Explanation:

From the given histogram we got the following table of frequency distribution:-

X f

1 5

2 4

3 4

4 1

5 1

7 5

8 4

9 4

10 5

Now,
`\sum f=5+4+4+1+1+4+4+5=28`

`\sum Xf=2\cdot5+3\cdot4+4\cdot4+5\cdot1+7\cdot1+8\cdot4+9\cdot4+10\cdot5=168`

Now,
`\text{Mean=}(\sum xf)/(\sum f)=(168)/(28)=6`

Hence, the mean of this distribution = 6