Answer:
The mean absolute deviation is 4
Interpertation: The average distance between each data value and the mean is 4 which is the variation in the data set so you can understand how "spread out" each data point is from each other
Step-by-step explanation:
The mean absolute deviation is a measure of how much a data set varies.
<em>Step 1: Compute the mean</em>
mean = the sum of all the terms / number of terms
mean = 94 + 86 + 95 + 99 + 88 + 90 / 6
= 552 / 6
= 92
The mean is 92
<em>Step 2: Finding the absolute deviation</em>
You would take each number in the data set and subtract it from the mean, take the absolute value. After you take the sum of the absolute data values
|data set #1 - mean| + |data set #2 - mean| + ... + |data set #6 - mean|
= |94 - 92| + |86 - 92| + |95 - 92| + |99 - 92| + |88 - 92| + |90 - 92|
= |2| + |- 6| + |3| + |7| + |- 4| + |- 2|
= 2 + 6 + 3 + 7 + 4 + 2
= 24
To find the mean absolute deviation you divided the sum by total number of terms...
24/6 = 4
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set (which was step 1)
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