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The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 20, 16, 21, 16, 22, 16, 15

The Data Set Below Has 7 Values Find The Mean Absolute Deviation For The Data Set If Necessary Round Your Answer To The Nearest Hundredth 20 16 21 16 22 16 15 class=

Sagot :

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Answer:

2.57

Step-by-step explanation:

The mean absolute deviation(MAD) of a data set is given by the formula

[tex]$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$[/tex]

n = number of data set values. Here n=7

[tex]\bar{x}=[/tex]mean of the data set values   = [tex](20+16+21+16+22+16+ 15)/7 = 126/7 = 18[/tex]

[tex]x_{i}[/tex] are the n individual values

Substituting in the summation we get

MAD = [tex]\frac{1}{7} |20-18| + |16-18| + |21-18| + |16-18| + |22-18| + |16-18| + |15-18|\\= (2 + 2 + 3 + 2 + 4+ 2 + 3)/7\\= 18/7 = 2.571428 \\[/tex]

Rounded to the nearest hundredth, the answer is 2.57

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