ebur1948
Answered

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what is the mean absolute deviation for 9, 7, 6, 8, 7, and 5? (2 points) a 1 b 2 c 6 d 7

Sagot :

JeanaShupp

Answer: a. 1

Step-by-step explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean

mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{42}{6}\\\\=7[/tex]

Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]

[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]

[tex]MAD=\dfrac{6}{6}[/tex]

[tex]MAD=1[/tex]

Hence, the mean absolute deviation=1

Thus correct option is a. 1

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