Bell work: *ACT Aspire Sample Question Nigel’s class placed 10 empty rain gauges on the playground Monday morning. The line plot below shows the number of inches of rainwater in each gauge after it rained Monday afternoon. Number of Inches of Rainwater x x x x x x x x x x 3/8 1/2 5/8 3/4 7/8 What is the mean amount of rainwater per gauge, in inches, in the 10 rain gauges?
What is the mean amount of rainwater per gauge, in inches, in the 10 rain gauges? B. 5/8 C. 51/80 D. 37/56 E. 51/8 Answer: C
Mean absolute deviation Measures the average amount that the items of a data set differ from the mean of the set. Find the mean Find the difference of each value from the mean Subtract the smaller value from the larger value, so each difference is positive Find the mean absolute deviation by averaging the differences
Hours worked on a Saturday: 4, 5, 7, 12 Mean = (4 + 5 + 7 + 12)/ 4 = 7 Deviations from the mean = 3, 2 , 0, 5 Mean absolute deviation = (3 + 2 + 0 + 5)/4 = 10/4 = 2.5