The number of toys owned by eight classmates is shown below:

4, 3, 4, 5, 6, 6, 8, 4

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Respuesta :

Answer: The mean/average is 5

Step-by-step explanation:

First of all, we know that mean is average.

The average is when you add up all numbers which would be 3+4+4+5+6+6+8+4 which equals 40.

After this, we divide the sum by the amount of numbers in the equation.

In this case, we have 8 numbers in the equation so we divide 40 by 8.

This is basic division and we all know that the answer to 40/8 is 5.

The answer is 5.

The mean is 5 and the  mean absolute deviation for the data is 1.25 .

What is Mean Absolute Deviation ?

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

It gives us an idea about the variability in a dataset.

Steps to  calculate the mean absolute deviation.

Step 1: Calculate the mean.

Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.

Step 3: Add those deviations together.

Step 4: Divide the sum by the number of data points.

Part A : Mean of the data

Mean = (4+3+4+5+6+6+8+4)/8

Mean = 40/8 = 5

Part B : Mean Absolute Deviation (MAD)

Mean = 5

MAD = (1 + 2 + 1 + 0+ 1 + 1 +3 +1)/8 = 10/8 = 1.25

Therefore the mean is 5 and the  mean absolute deviation for the data is 1.25 .

To know more about  mean absolute deviation

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