Question

Mean, Median and Mode of the following set of numbers.

13, 11, 17, 14, 20, 6, 15, 15, 12, 6, 13, 24, 22, 19

Answer 1

Mean:
`14 (11)/(207)`

Median: 14.5

Mode: 6, 13, and 15

Explanation:

We will start by arranging these numbers from smallest to greatest to get the median and mode:

6, 6, 11, 12, 13, 13, 14, 15, 15, 17, 19, 20, 22, 24

To get the mode, we will look. There are two 6, 13, and 15. So those three are our modes. Then, since there are 14 numbers, we will split the list in half and find the average of the two most inward numbers. We get:

6, 6, 11, 12, 13, 13, 14 15, 15, 17, 19, 20, 22, 24

Our two most inward numbers are 14 and 15, so we add the two together and then divide by 2, giving us:

14 + 15 = 29/2 = 14.5

So our median is 14.5.

Finally, we will add up all the numbers together, then divide by 14 to get our mean. We get:

6 + 6 + 11 + 12 + 13 + 13 + 14 + 15 + 15 + 17 + 19 + 20 + 22 + 24 = 207

Then we divide by 14:

`(207)/(14) = 14 (11)/(207)`

So, our median is
`14 (11)/(207)`.

Hope this helped!

Answer 2

Mean = 14.78571
Median = 14.5 ((14+15)/2)
Mode = 6, 13, 15

Hope this helps :)