N.3

Mean Absolute Deviation

Find the mean of a data set, then the average distance of the values from it (MAD).

Level

Medium

Level

Problems

Show exampleInclude answer key

@page { size: letter; margin: 0; } @media print { .ws-page + .ws-page { break-before: page; } } Daniel Math Academy \cdot Grade 7 Math Mean Absolute Deviation Skill N.3 \cdot Statistics & sampling \cdot ★★☆ Medium Name Date Score / 8 Scan for answers Find the mean and the mean absolute deviation (MAD). Example mean = \frac{2 + 4 + 6 + 8}{4} = 5 MAD = \frac{3 + 1 + 1 + 3}{4} = 2 Think: For 2, 4, 6, 8: each value is 3, 1, 1, and 3 away from the mean of 5. The MAD is the mean of those distances. 1 7, 15, 20, 7, 6 Mean MAD 2 18, 8, 11, 8, 10 Mean MAD 3 18, 11, 17, 4, 10 Mean MAD 4 7, 6, 15, 20, 7 Mean MAD 5 19, 20, 10, 2, 19 Mean MAD 6 1, 8, 7, 5, 19 Mean MAD 7 8, 19, 6, 18, 9 Mean MAD 8 1, 6, 3, 8, 17 Mean MAD Daniel Math Academy \cdot danielmath.com Worksheet # 5ait39f \cdot Page 1 / 2 Daniel Math Academy \cdot Grade 7 Math Answer Key N.3 Mean Absolute Deviation \cdot ★★☆ Medium 1 Mean 11 \cdot MAD 5.2 2 Mean 11 \cdot MAD 2.8 3 Mean 12 \cdot MAD 4.4 4 Mean 11 \cdot MAD 5.2 5 Mean 14 \cdot MAD 6.4 6 Mean 8 \cdot MAD 4.4 7 Mean 12 \cdot MAD 5.2 8 Mean 7 \cdot MAD 4.4 Daniel Math Academy \cdot danielmath.com Worksheet # 5ait39f \cdot Answer Key \cdot Page 2 / 2

N. Statistics & sampling9 skills