Luke was asked to find the median of the following numbers: 16, 24, 12, 7, 30, 11, 22 The work below shows the steps he used. The numbers 7, 11, 24, and 30 are crossed out. StartFraction 16 22 Over 2 EndFraction = StartFraction 38 Over 2 EndFraction = 19. What error did Luke make? He forgot to put the numbers in order first. He crossed off the low and high pairs incorrectly. He left out a number when putting the numbers in order. He did not make an error.

Respuesta :

Luke left out a number while putting the numbers in order. The correct answer is 16.

Numbers given are 16, 24, 12, 7, 30, 11, 22.

Let us arrange the numbers in ascending order, starting from left to right,

The correct order is 7, 11, 12, 16, 22, 24, 30.

While Joe arranged them in the following manner:

x x 16 22 24 30 (left out a number)

He got the median as the average of the middle numbers.

Joe got (16+22)/2 = 19 as answer.

What is the median?

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

Since the total number of observations is odd so median will be the middle number.

So, the median is 16.

Hence, Luke left out a number while putting the numbers in order. The correct answer is 16.

To get more about median refer to the link,

https://brainly.com/question/26177250