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

answer

106 emergencies

step-by-step explanation: