Q.

Consider the given data with frequency distribution
xi  3  8  11 10  5  4
fi  5  2    3    2  4  4 
Match each entry in List-I to the correct entries in List-II.

 List-I  List-II 
P)The mean of the above data is1)2.5
Q)The median of the above data is2)5
R)The mean deviation about the 
mean of the above data is
3)6
S)The mean deviation about the 
median of the above data is
4)2.7
  5)2.4
 PQRS
1)3245
2)3215
3)2341
4)3355

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a

2

b

1

c

3

d

4

answer is A.

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Detailed Solution

detailed_solution_thumbnail
xific.fi
355
449
5413
8215
10217
11320

x¯=fixifi=6P3 N=20,N2=10
Median = Size of observation whose cumulative frequency just greater than or equal to 10= 5 Q2
Median deviation about mean =Σfixix¯Σfi=2.7 R4
Mean deviation about median =ΣfixiMΣfi=2.4 S5

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