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Davita works at a shoe store. She measured the feet of nine customers and found that their shoe sizes were 4, 5, 5, 6, 7, 8, 8, 10 and 10. find the sum of the absolute deviations from the mean.

Sagot :

Answer:  

Sum of absolute deviation = 16  

mad = 1.78

Mean of data (u) = (sum of data / number of observations)  

( 4 + 5 + 5 + 6 + 7 + 8 + 8 + 10 + 10) / 9  

= 63/9  

= 7  

Absolute deviation = ( x - u)  

Sum of absolute deviation ;  

|4-7| + |5-7| + |5-7| + |6-7| + |7-7| + |8-7| + |8-7| + |10-7| + |10-7|  

3 + 2 + 2 + 1 + 0 + 1 + 1 + 3 + 3 = 16

Hopefully this helps