Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a frequency table that has the mean in the box at the top.

### Hint

Have you thought about what grades you would need to get in a class for the mean to be a desired outcome? For example, if you want a 60 in a class, can you get all 10’s, 20’s and 30’s on assignments?

A second hint I gave was: Do you think it would be easier to choose your mean and work the data to come to that mean or vice versa?

### Answer

There is more than one answer to this. My students found at least three. One answer is a mean of 6 with data values of 5 (with a frequency of 3), 7 (with a frequency of 2) and 8 (with a frequency of 1)

Source: Phillip Haislip-Hansberry

I’m not sure the posted answer works? 5(3) + 7(2) + 8(1) = 15 + 14 + 8 = 37 which does not divide by 6.

I had a student who found a mean of 5, from data values of 7 (freq of 8) , 3 (freq of 4) and 1 (freq of 2) that had a mean of 5

I agree that the listed answer is not a correct solution.

One of my solutions was:

*A mean of 7*

With:

Data Value of 9 (freq of 1)

Data Value of 8 (freq of 2)

Data Value of 6 (freq of 4)