Statistics And Probability Question 426
Question: A batsman scores runs in 10 innings 38, 70, 48, 34, 42, 55, 63, 46, 54, 44, then the mean deviation is
[Kerala Engg. 2002]
Options:
A) 8.6
B) 6.4
C) 10.6
D) 9.6
Show Answer
Answer:
Correct Answer: A
Solution:
Arrange the given data in ascending order, We have 34, 38, 42, 44, 46, 48, 54, 55, 63, 70 Here, median = M = $ \frac{46+48}{2}=47 $ $ (\because n=10, $ median is the mean of 5th and 6th items)
$ \therefore $ Mean deviation $ =\frac{\Sigma |x_{i}-M|}{n} $ $ =\frac{\Sigma |x_{i}-47|}{10} $ $ =\frac{13+9+5+3+1+1+7+8+16+23}{10}=8.6 $ .
BETA
