Question

nina used coupons 6 times at the store last month. the savings were: $8.00 $5.00 $6.00 $6.00 $1.00 $7.00 what was the mean absolute deviation of the amounts saved? if the answer is a decimal, round it to the nearest ten cents. mean absolute deviation (mad): $

Explanation:

Step1: Calculate the mean

First, find the sum of the savings amounts: \(8 + 5 + 6 + 6 + 1 + 7 = 33\). Then divide by the number of times (6) to get the mean: \(\frac{33}{6}=5.5\).

Step2: Find absolute deviations

Calculate the absolute difference between each value and the mean:

• \(|8 - 5.5| = 2.5\)
• \(|5 - 5.5| = 0.5\)
• \(|6 - 5.5| = 0.5\)
• \(|6 - 5.5| = 0.5\)
• \(|1 - 5.5| = 4.5\)
• \(|7 - 5.5| = 1.5\)

Step3: Calculate the mean of these deviations

Sum the absolute deviations: \(2.5 + 0.5 + 0.5 + 0.5 + 4.5 + 1.5 = 11\). Then divide by 6: \(\frac{11}{6}\approx1.83\) (rounded to the nearest ten cents).

Answer:

\(1.83\)