Question

Using the data set below, create a cluster of three different positive integers to be added to the data set that would

increase the mean by 3.

{ 8, 6, 9, 7, 9, 8, 9}

Use words, numbers, and/or pictures to show your work. Enter your answer in the space provided.

Answer 1

• 17, 18, 19

Explanation:

The mean of the dataset is:

• (8 + 6 + 9 + 7 + 9 + 8 + 9)/7 = 56/7 = 8

Increased mean is:

• 8 + 3 = 11

The sum of the numbers in the larger data set is:

• 11*(7 + 3) = 110

The difference of sums is:

• 110 - 56 = 54

We need a combination of 3 different numbers with the sum of 54.

One option would be:

• 17, 18, 19