Question

What is the median of the following data values?

17, 19, 20, 21, 22, 25, 29, 30, 32, 35
O A. 24.5
O B. 22
O c. 25
O D. 23.5

Answer 1

`\boxed {\boxed {\sf D. \ 23.5}}`

Explanation:

The median is the number in the middle of a set of data. To find, we place the numbers in order from least to greatest and pick the middle number.

The data set is:

• 17, 19, 20, 21, 22, 25, 29, 30, 32, 35

This is already in order from least to greatest, so we can begin removing numbers from each side of the list until the middle is reached.

• 19, 20, 21, 22, 25, 29, 30, 32
• 20, 21, 22, 25, 29, 30
• 21, 22, 25, 29
• 22, 25

Now we have 2 numbers that are in the middle. To find the median, we take the mean or average of these 2 numbers. Add them together, then divide by 2.

• 22 + 25= 47
• 47/2 = 23.5

The median of this data set is 23.5 and choice D is correct.