Find the mean absolute deviation for the set of data Grade 6: 88, 116, 94, 108,112 and 124 Grade 7: 144, 91, 97,122,128 and 132

Question

i need help with my homework this could really help thank you

Answer 1

The steps for finding the mean absolute deviation are:

 

1. Find the mean.
2. Find the distance between each data value and the mean. That is,
find the absolute value of the difference between each data value
and the mean.
3. Find the average of those differences.

 

So let's calculate the mean for each group first. For Grade 6, it's:

88 + 116 + 94 + 108 + 112   = 103.6

                    5

Next, we find the deviations of each number from that mean (using its absolute value). We get, in order: 15.6, 12.4, 9.6, 4.4, and 8.4. The mean of those 5 numbers (your answer) = 10.08.

 

Use the same tactic for Grade 7 and your answer should be 16.67.