Statistics And Probability Question 458
Question: The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is
Options:
A) 2
B) 2.57
C) 3
D) 3.75
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Given, observations are 3, 10, 10, 4, 7, 10 and 5.
$ \therefore \bar{x}=\frac{3+10+10+4+7+10+5}{7}=\frac{49}{7}=7 $
$ x_{i} $ $ d_{i}=| x_{i}-\bar{x} | $
3 4
10 3
10 3
4 3
7 0
10 3
5 3
Total $ \Sigma ,d_{i}=18 $
Now, M.D. $ =\frac{\Sigma d_{i}}{N}=\frac{18}{7}=2.57 $
BETA
