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?
A 24
B 66.5
C 4
D 67.5
sum = 399
399 / 6 = 66.5
deviations from mean = | each-66.5 |
3.5 , 3.5 , 1.5 , 6.5 , 8.5 , .5
sum = 24
24/6 =
384857
its 4 i had it as a question
4i got it as question and i got it right
That's great! Is there anything else you need help with?
To find the mean absolute deviation, follow these steps:
Step 1: Calculate the mean
Add up all the numbers and divide the sum by the total count. For the given list, the mean is (63 + 70 + 68 + 73 + 58 + 67) / 6 = 399 / 6 = 66.5.
Step 2: Find the absolute deviation for each number
Subtract the mean from each number and take the absolute value. The absolute deviations for the given list are:
|63 - 66.5| = 3.5
|70 - 66.5| = 3.5
|68 - 66.5| = 1.5
|73 - 66.5| = 6.5
|58 - 66.5| = 8.5
|67 - 66.5| = 0.5
Step 3: Calculate the mean absolute deviation
Add up all the absolute deviations and divide the sum by the total count. For the given list, the mean absolute deviation is (3.5 + 3.5 + 1.5 + 6.5 + 8.5 + 0.5) / 6 ≈ 23/6 ≈ 3.83.
Therefore, the mean absolute deviation for these numbers is approximately 3.83. None of the provided answer choices matches this result, so none of the options A, B, C, or D is correct.