Whats the mean of 55, 60, 70, 70, 75, 75, 75, 80, 80, 85, 85, 85, 85, 90, 90, 95, 100

Question

Find the MAD.

Answer 1

To find the mean, you add up all the numbers and divide by the total count:

55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100 = 1430

There are 17 numbers in total, so the mean is 1430/17 = 84.12 (rounded to two decimal places).

To find the MAD (Mean Absolute Deviation), you first find the absolute difference between each number and the mean, then calculate the average of these differences. Here are the absolute differences:

|55 - 84.12| = 29.12
|60 - 84.12| = 24.12
|70 - 84.12| = 14.12
|70 - 84.12| = 14.12
|75 - 84.12| = 9.12
|75 - 84.12| = 9.12
|75 - 84.12| = 9.12
|80 - 84.12| = 4.12
|80 - 84.12| = 4.12
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|90 - 84.12| = 5.88
|90 - 84.12| = 5.88
|95 - 84.12| = 10.88
|100 - 84.12| = 15.88

Adding up these absolute differences gives us:

29.12 + 24.12 + 14.12 + 14.12 + 9.12 + 9.12 + 9.12 + 4.12 + 4.12 + 0.88 + 0.88 + 0.88 + 0.88 + 5.88 + 5.88 + 10.88 + 15.88 = 140.72

To find the MAD, divide this sum by the total count (17):

140.72/17 ≈ 8.28 (rounded to two decimal places)

Therefore, the Mean Absolute Deviation is approximately 8.28.

Answer 2

Show the work

Answer 3

Sure! Here is the step-by-step work to find the mean and MAD:

1. Find the mean:
Add up all the numbers:
55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100 = 1430

Divide the sum by the total count (17):
1430/17 ≈ 84.12

So, the mean is approximately 84.12.

2. Find the MAD:
Calculate the absolute difference between each number and the mean:

|55 - 84.12| = 29.12
|60 - 84.12| = 24.12
|70 - 84.12| = 14.12
|70 - 84.12| = 14.12
|75 - 84.12| = 9.12
|75 - 84.12| = 9.12
|75 - 84.12| = 9.12
|80 - 84.12| = 4.12
|80 - 84.12| = 4.12
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|90 - 84.12| = 5.88
|90 - 84.12| = 5.88
|95 - 84.12| = 10.88
|100 - 84.12| = 15.88

Add up the absolute differences:
29.12 + 24.12 + 14.12 + 14.12 + 9.12 + 9.12 + 9.12 + 4.12 + 4.12 + 0.88 + 0.88 + 0.88 + 0.88 + 5.88 + 5.88 + 10.88 + 15.88 = 140.72

Divide the sum by the total count (17):
140.72/17 ≈ 8.28

Therefore, the Mean Absolute Deviation is approximately 8.28.

Answer 4

its wrong

Answer 5

I apologize for the mistake. Let's calculate the mean and MAD again step by step:

1. Find the mean:
Add up all the numbers:
55 + 60 + 70 + 70 + 75 + 75 + 75 + 80 + 80 + 85 + 85 + 85 + 85 + 90 + 90 + 95 + 100 = 1430

Divide the sum by the total count (17):
1430/17 ≈ 84.12

So, the mean is approximately 84.12.

2. Find the MAD:
a) Calculate the absolute difference between each number and the mean:
|55 - 84.12| = 29.12
|60 - 84.12| = 24.12
|70 - 84.12| = 14.12
|70 - 84.12| = 14.12
|75 - 84.12| = 9.12
|75 - 84.12| = 9.12
|75 - 84.12| = 9.12
|80 - 84.12| = 4.12
|80 - 84.12| = 4.12
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|85 - 84.12| = 0.88
|90 - 84.12| = 5.88
|90 - 84.12| = 5.88
|95 - 84.12| = 10.88
|100 - 84.12| = 15.88

b) Add up the absolute differences:
29.12 + 24.12 + 14.12 + 14.12 + 9.12 + 9.12 + 9.12 + 4.12 + 4.12 + 0.88 + 0.88 + 0.88 + 0.88 + 5.88 + 5.88 + 10.88 + 15.88 = 161.12

c) Divide the sum by the total count (17):
161.12/17 ≈ 9.48

Therefore, the Mean Absolute Deviation is approximately 9.48.