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
Explanation:
The mean absolute deviation is a measure of how much a data set varies.
Step 1: Compute the mean
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
Step 2: Finding the absolute deviation
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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