Question

Based on the bar graph shown below, the 25th percentile is located in which interval?

A: 0 - 5
B: 6 - 10
C: 11 - 15
D: 16 - 20

Answer 1

B: 6 - 10

Explanation:

We have been given a bar graph and we are asked to find 25th percentile in located in which interval.

Let us find total number of data points by adding the heights of all bars together.

`\text{Total data points}=5+6+8+10+5`

`\text{Total data points}=34`

Now let us find 25% of 34.

`25\%\text{ of }34=(25)/(100)* 34`

`25\%\text{ of }34=0.25* 34`

`25\%\text{ of }34=8.5\approx 9`

So 9th data point will be close to 25th percentile as it has 8.5 data points below itself.

Let us see 9th data point will falls in which interval.

We can see from our bar graph that interval 0-5 contains 5 data point and data points between 5 to 11 lies in interval 6-10, therefore, option B is the correct choice as 9 lies between 5 and 11.