Question

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

4
3-
2
1
What is the median of the distribution?

Answer 1

Answer: Option C, the median is 5.

Explanation:

The median is the value that is just in the middle of our data set (the possible values in the histogram)

the set is S = {2, 3, 4, 5, 6, 7, 8, 9}

And if we take in account the number of times that each value is repeated, we get:

S = {2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9}

So we have 17 values, and the one exactly in the middle will be the median.

To find the point in the middle, we can use that we have 17 values, because 17 is odd, we can do

17 - 1 = 16

16/2 = 8.

17 - 8 = 9.

Then the 9nth point is our median:

the 9th point is a 5.

Then the correct option is C