Statistics And Probability Question 392
Question: Runs scored by a batsman in 10 innings are: 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 the mean deviation is
Options:
A) 8.6
B) 6.4
C) 10.6
D) 9.6
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Arranging the given data in ascending order, we have 34, 38, 42, 44, 46, 48, 54, 55,63, 70, Median, $ M=\frac{46+48}{2}=47 $ (
$ \therefore 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
