Q:

Use the data to answer the Question below.Size of shoe:8,7,8.5,6.5,5,11,15,8,8,7.5,6.5,8,14,12

Accepted Solution

A:
Answer:Step-by-step explanation:Mean: 8 + 7 + 8.5 + 6.5 + 5 + 11 + 15 + 8 + 8 + 7 + 7.5 + 6.5 + 8 + 14 + 12 = 132 / 15 = 8.8Median: You have to arrange the numbers first in ascending order.5, 6.5, 6.5, 7, 7, 7.5, 8, 8, 8, 8, 8.5, 11, 12, 14, 15The median is 8 because that is the middle value/number.Mean Absolute Deviation:Get the average/mean (1), find the deviation (2) to get MAD (3).Step #1 Mean = 8.8Step #2 To get the deviation, you subtract the mean from the values given.8 - 8.8 = -0.87 - 8.8 = -1.88.5 - 8.8 = -0.36.5 - 8.8 = -2.35 - 8.8 = -3.811 - 8.8 = 2.215 - 8.8 = 6.28 - 8.8 = -0.88 - 8.8 = -0.87 - 8.8 = -1.87.5 - 8.8 = -1.36.5 - 8.8 = -2.38 - 8.8 = -0.814 - 8.8 = 5.212 - 8.8 = 3.2Step #3 Get the summation from step #2, and get its average. Disregard the negative signs.0.8 + 1.8 + 0.3 + 2.3 + 3.8 + 2.2 + 6.2 + 0.8 + 0.8 + 1.8 + 1.3 + 2.3 + 0.8 + 5.2 + 3.2 = 33.6 / 15 = 2.24 is the Mean Asolute DeviationMedian Absolute Deviation:Get the median (1) and subtract it from the values (2). Get the median of the new values (3)Step #1 Median = 8Step #28 - 8 = 07 - 8 = -18.5 - 8 = 0.56.5 - 8 = -1.55 - 8 = -311 - 8 = 315 - 8 = 78 - 8 = 08 - 8 = 07 - 8 = -17.5 - 8 = -0.56.5 - 8 = -1.58 - 8 = 014 - 8 = 612 - 8 = 4Step #3 Arrange the numbers in ascending order.-3, -1.5, -1.5, -1, -1, -0.5, 0, 0, 0, 0, 0.5, 3, 4, 6, 7The Median Absolute Deviation is 0 since it is the middle value/number.It is important that you calculate this by yourself in case I did some careless mistakes.