Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months.
City A: {3, 2.5, 4, 4.5, 3, 1}
City B: {6, 4, 1.5, 3.5, 2, 4}

What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth. Show your work.
M. A.D City A:

M. A.D. City B:

M.A.D City A: 0.8

M.A.D City B: 1.2

Step-by-step explanation:

To find the mean absolute deviation of the data

Let us do these steps with Cities A and B

City A: {3, 2.5, 4, 4.5, 3, 1}

The sum of the data = 3 + 2.5 + 4 + 4.5 + 3 + 1 = 18

The number of the data is 6

The mean = 18 ÷ 6 = 3

Find the absolute difference

I3 - 3I = 0

I2.5 - 3I = 0.5

I4 - 3I = 1

I4.5 - 3I = 1.5

I3 - 3I = 0

I1 - 3I = 2

The sum of the absolute differences = 0 + 0.5 + 1 + 1.5 + 0 + 2 = 5

MDA = 5 ÷ 6 = 0.83333 ≅ 0.8 ⇒ to the nearest tenth

M.A.D City A: 0.8

City B: {6, 4, 1.5, 3.5, 2, 4}

The sum of the data = 6 + 4 + 1.5 + 3.5 + 2 + 4 = 21

The number of the data is 6

The mean = 21 ÷ 6 = 3.5

Find the absolute difference

I6 - 3.5I = 2.5

I4 - 3.5I = 0.5

I1.5 - 3.5I = 2

I3.5 - 3.5I = 0

I2 - 3.5I = 1.5

I4 - 3.5I = 0.5

The sum of the absolute differences = 2.5 + 0.5 + 2 + 0 + 1.5 + 0.5 = 7

MDA = 7 ÷ 6 = 1.166666 ≅ 1.2 ⇒ to the nearest tenth

M.A.D City B: 1.2

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

answer is 144

step-by-step explanation: