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:

The answer is A

It is 6 on apex

Answer 2

Answer: A. 6

Step-by-step 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, $\text{Mean=}\dfrac{\sum xf}{\sum f}=\dfrac{168}{28}=6$

Hence, the mean of this distribution = 6