The table shows the heights of 5 students in inches.What is the mean absolute deviation for these numbers? show your steps.

59, 71, 68, 75, 67

1 answer

To find the mean absolute deviation, you need to first find the mean of the data set.

1. Add up all the numbers:

59 + 71 + 68 + 75 + 67 = 340

2. Divide by the total number of values:

340 ÷ 5 = 68

The mean of the data set is 68 inches.

Next, find the absolute deviation for each value by subtracting the mean from each individual value:

|59 - 68| = 9
|71 - 68| = 3
|68 - 68| = 0
|75 - 68| = 7
|67 - 68| = 1

Then, find the mean of the absolute deviations by adding them up and dividing by the number of values:

(9 + 3 + 0 + 7 + 1) ÷ 5 = 20 ÷ 5 = 4

Therefore, the mean absolute deviation for this set of data is 4 inches.
Similar Questions
    1. answers icon 1 answer
    1. answers icon 7 answers
  1. The list shows the heights of 6 students in inches.63, 70, 68, 73, 58, 67 What is the mean absolute deviation for these numbers?
    1. answers icon 6 answers
  2. The list shows the heights of 6 students in inches.63, 70, 68, 73, 58, 67 What is the mean absolute deviation for these numbers?
    1. answers icon 1 answer
more similar questions