Chad checked the remaining stock for each garment sold at the store where he worked. For 6 garments, there remained:74 items54 items28 items63 items81 items60 itemsWhat was the mean absolute deviation of the amounts of remaining stock?If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): itemsSubmit
Question
Chad checked the remaining stock for each garment sold at the store where he worked. For 6 garments, there remained:74 items54 items28 items63 items81 items60 itemsWhat was the mean absolute deviation of the amounts of remaining stock?If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD): itemsSubmit
Solution
To find the mean absolute deviation (MAD), we first need to find the mean (average) of the data set. Then we subtract the mean from each number in the data set and take the absolute value of each difference. Finally, we find the average of those differences. Here's how to do it:
Step 1: Find the mean of the data set. Add up all the numbers and then divide by the count of numbers. (74 + 54 + 28 + 63 + 81 + 60) ÷ 6 = 60
Step 2: Subtract the mean from each number in the data set and take the absolute value. |74 - 60| = 14 |54 - 60| = 6 |28 - 60| = 32 |63 - 60| = 3 |81 - 60| = 21 |60 - 60| = 0
Step 3: Find the average of these absolute differences. (14 + 6 + 32 + 3 + 21 + 0) ÷ 6 = 12.67
So, the mean absolute deviation (MAD) of the amounts of remaining stock is approximately 12.7 items (rounded to the nearest tenth).
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