Answer :
Answer:
1
Step-by-step explanation:
Here are the steps
1 Find the mean of the data set
2 Subtract the mean from each value ( ignore the minus signs ), that is the distance of each value from the mean
3. Find the mean of 2
mean = [tex]\frac{9+7+6+8+7+5}{6}[/tex] = [tex]\frac{42}{6}[/tex] = 7
value distance
9 | 9 - 7 | = 2
7 | 7 - 7 | = 0
6 | 6 - 7 | = 1
8 | 8 - 7 | = 1
7 | 7 - 7 | = 0
5 | 5 - 7 | = 2
Find the mean of these values
mean absolute deviation = [tex]\frac{2+0+1+1+0+2}{6}[/tex] = 1
Hence mean absolute deviation is
What is mean absolute deviation ?
The average distance between each data point and the mean is the mean absolute deviation of a dataset ,formula used will be [tex]\frac {1}{n} \sum \limits_{i=1}^n |x_i-m(X)|[/tex]
m(X)=average value of the data set
n = number of data values
x(i) = data values in the set
How to solve?
given data - 9,7,6,8,7,5
where n =6
mean= [tex]\frac{9+7+6+8+7+5}{6}[/tex]=[tex]\frac{42}{6}[/tex]=[tex]7[/tex]
[tex]9 | 9 - 7 | = 2 \\7 | 7 - 7 | = 0 \\6 | 6 - 7 | = 1 \\8 | 8 - 7 | = 1 \\7 | 7 - 7 | = 0 \\5 | 5 - 7 | = 2[/tex]
SUM [tex]=2+0+1+1+0+2=6[/tex]
HENCE ABSOLUTE MEAN DEVIATION IS = [tex]\frac{6}{6}[/tex]=1
Learn more about absolute mean deviation
https://brainly.com/question/447169
#SPJ2