Question

The ages (in weeks) at which 6 infants learned to crawl are 23,37,33,39,2923, 37, 33, 39, 29, and 3131. What is the mean absolute deviation for the age at which the infants learned to crawl, to the nearest tenth?

Solution

Verified

Find the mean:

23+37+33+39+29+316=1926=32\dfrac{23+37+33+39+29+31}{6}=\dfrac{192}{6}=32

Subtract the mean from each data value. Then find the absolute value of the difference:

xix_i abs(xix)(x_i-\overline{x})
23 9
37 5
33 1
39 7
29 3
31 1

Find the mean of the absolute values of the differences.\

MAD=9+5+1+7+3+16=2664.3MAD=\dfrac{9+5+1+7+3+1}{6}=\dfrac{26}{6}\approx\color{#c34632}4.3

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