Question

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

What is the median of the distribution?

Answer 1

D

Explanation:

The median is the middle value in the data distribution.

From 1 → 4 there are14 values ( count the blocks )

From 5 → 10 there are 14 values

Thus the middle value of the distribution is 5, that is

median is 5 → D

Answer 2

Answer: D. 5

Explanation:

From the given graph , x axis is representing the data values and y axis is representing their frequencies.

First count the number of blocks n= 29

We know that when the total number of data values is an odd number , then the median of data is given by :-

`\text{Median}=(n+1)/(2)\text{ th term}`

i.e.
`\text{Median}=(29+1)/(2)\text{ th term}=15\text{ th term}`

Now, count again to check the value of the 15th box in the x axis.

You will get 5.

Hence, the median of the distribution = 5