Question

Use the data set to answer the question.

{122,132,155,198,213,225,261,280}

What is the mean absolute deviation for the data set?

Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answer 1

The mean absolute deviation for the given data set is 45.1.

Step-by-step explanation:

To find the mean absolute deviation for a given data set, follow these steps:

Find the mean of the data set by adding up all the values and dividing by the total number of values.

For each value in the data set, find the absolute difference between the value and the mean.

Find the average of these absolute differences by summing them up and dividing by the total number of values.

In this case, the data set is {122,132,155,198,213,225,261,280}.

The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.

The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.