Question

Noah was asked to find the median of the following numbers.

115, 109, 117, 136, 127, 131

Noah’s work is shown below.

109, 115, 117, 127, 131, 136

StartFraction 117 + 127 Over 2 EndFraction = StartFraction 244 Over 2 EndFraction = 122

What error, if any, did Noah make?

Answer 1

D

Explanation:

Answer 2

Noah did not make any error

Explanation:

The median of a list of strictly increasing numbers is simply the middle number. If there's an even number of numbers in the list, then the median is the average of the middle two terms.

Here, the numbers are 115, 109, 117, 136, 127, 131. When ordered from least to greatest, we get: 109, 115, 117, 127, 131, and 136, which is what Noah got.

Since there are 6 numbers (6 is even), the median will be the average of the middle two numbers, which are 117 and 127: (117 + 127)/2 = 244/2 = 122

So, Noah was correct.