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?
He forgot to put the numbers in order first.
He crossed off the high/low number pairs incorrectly.
He left out a number when putting the numbers in order.
He did not make any error.

Answer 1

Noah did not make any errors

Explanation:

The median is 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 terms.

here, the numbers are 115, 109, 117, 136, 127, 131. when ordered from least to greatest we get 109, 115, 117, 127, 131, 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 is was correct.

Answer 2

No error

Explanation:

Nothing to explain