What is the mean absolute deviation of the data set below?
3,1,4,4,4,1,1,2,1,5

1.4

Step-by-step explanation:

Step 1: We have to find the mean of the data set

The mean is the average or the sum of all the numbers divided by the amount of numbers there are.

3 + 1 + 4 + 4 + 4 + 1 + 1 + 2 + 1 + 5 = 26

There are 10 numbers in total so, 26/10 = 2.6

Step 2: We now know the mean so now we have to find the deviation

3 - 2.6, |1 - 2.6|, 4 - 2.6, 4 - 2.6... so on, (Note: this is just finding the distance between the numbers and the mean)

The results are, 0.4 + 1.6 + 1.4 + 1.4 + 1.4 + 1.6 + 1.6 + 0.6 + 1.6 + 2.4

This is equal to 14

Step 3: Lastly, we have to find the mean of the deviations

We know the mean is 14

We have 10 numbers

Therefore, 14/10 = 1.4 is the MAD

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.