Question

Invent a data set with five numbers that has a mean of 10 and a median of 12. None of the values in your data set can be repeated. Explain how you determined the values in your set.

Answer 1

5, 6, 12, 13, 14

Explanation:

Mean = all numbers added together then divided by the number of numbers (in this case, 5)

A mean of 10 means that a certain number divided by 5 gives that number which is 50 (all numbers have to add up to 50)

Median of 12 means the middle number when places in order is 12

I need two higher numbers than 12 (I picked 13 and 14 for no repeats) leaving me with 11 which I split up into 5 and 6 (You don't have to do this, I just did)

My numbers are: 5, 6, 12, 13, 14

Median: 12

Mean: 10