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

1, 3, 2, 2, 1, 3, 3, 1

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)

Answer:

Part A: Mean = 2

Part B: 6

Step-by-step explanation:

Part A: Add all the data piece's and divide by total value

Part B: Subtract the mean from each piece of data in the dat set and find the absolute value of each answer. 1+1+0+0+1+1+1+1 = 6

The mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

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

[tex]1, 3, 2, 2, 1, 3, 3, 1[/tex]

The total number of pets are 8. The mean is the ratio of sum of all the values to the total values. Thus,

[tex]m=\dfrac{1+ 3+ 2+ 2+1+3+3+1}{8}\\m=\dfrac{16}{8}\\m=2[/tex]

The mean absolute deviation (MAD), can be calculate by adding difference of each data from mean and then divided by number of terms.

[tex]\text{MAD}=\dfrac{(1-2)+ (3-2)+ (2-2)+ (2-2)+(1-2)+(3-2)+(3-2)+(1-2)}{8}\\\text{MAD}=\dfrac{6}{8}\\\text{MAD}=0.75[/tex]

Thus, the mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

Learn more about the mean here;

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