The mean deviation about the mean for 3, 8, 4, 10, 6, 2
a) 2 b) 25 c) 3 d) 35
Answers
Answer:
(c)
Step-by-step explanation:
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Correct question-
The mean deviation about the mean for 3, 8, 4, 10, 6, 2
a) 2 b) 2.5 c) 3 d) 35
Answer-
The mean deviation from the mean is b) 2.5
Step-by-step explanation:
Given:
Data is given as 3,8,4,10,6,2
To find:
mean deviation
Solution:
First, we take out the mean of the data by using the formula
mean =sum of observations/number of observations
= 3+8+4+10+6+2
6
= 33/6
mean = 5.5
Now, we subtract each value of the data from the mean, exclude the negative signs
= 3- 5.5 = 2.5
=8- 5.5 = 2.5
=4- 5.5 = 1.5
= 10- 5.5 = 4.5
= 6- 5.5 = 0.5
= 2- 5.5 = 3.5
Now we take this data set (2.5, 2.5, 1.5, 4.5, 0.5, 3.5) and find the mean for it
Mean = 2.5+2.5+1.5+4.5+0.5+3.5
6
= 15/6
= 2.5
Hence, the mean deviation of the set will be 2.5