Question

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

A: 3

B: 4

C: 6

D: 5

Answer 1

D. 5

Explanation:

First let's list down the data from the histogram.

1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 8, 9, 9, 10

The number of data is 20

Which is even number of data. To find median of this data, we need to take middle two values and divided by 2.

The 10th and 11th numbers are 5 and 5 respectively.

Median =
`(5 + 5)/(2) = (10)/(2)`

Median of the distribution = 5

Therefore, the answer is D. 5

Answer 2

D. 5

Explanation:

From the histogram, we can write out the data set in ascending order as follows:

`1,2,3,3,4,4,4,4,5,5,6,6,6,7,8,9,9,10`

The median is the average of the two middle numbers {5,5}

Median
`=(5+5)/(2)=(10)/(2)=5`

Therefore the median is 5