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the prices of backpacks are $22, 16, 39, 35, 19, 34, 20 and $26. how do i find the mean absolute deviation of the prices?



Answer :

[tex]mean:\overline{X}=\frac{22+16+39+35+19+34+20+26}{8}=\frac{211}{8}\\\\absolute\ deviation :\\\\D=\frac{|22-\frac{211}{8}|+|16-\frac{211}{8}|+|39-\frac{211}{8}|+|35-\frac{211}{8}|+|19-\frac{211}{8}|+|34-\frac{211}{8}|+|20-\frac{211}{8}|+|26-\frac{211}{8}|}{8}[/tex]

[tex]=\frac{\frac{35}{8}+\frac{83}{8}+\frac{101}{8}+\frac{69}{8}+\frac{59}{8}+\frac{61}{8}+\frac{51}{8}+\frac{3}{8}}{8}=\frac{\frac{462}{8}}{8}=\frac{\frac{231}{4}}{8}=\frac{231}{4\cdot8}=\frac{231}{32}=7.21875[/tex]

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