NIMCET 2020 Question Paper with solutions

Question : 11 of 120

Marks: +1, -0

A, B, C are three sets of values of x:
A: 2,3,7,1,3,2,3
B: 7,5,9,12,5,3,8
C: 4,4,11,7,2,3,4
Select the correct statement among the following:

Mean of A is equal to Mode of C.
Mean of C is equal to Median of B.
Median of B is equal to Mode of A
Mean, Median and Mode of A are same

Validate

Solution:

\ov X_A={2+3+7+1+3+2+3}/7=21/7=3

\ov X_B={7+5+9+12+5+3+8}/7=49/7=7

\ov X_c={4+4+11+7+2+3+4}/7=35/7=5

Mode A = 3, Mode B = 5 ,Mode C = 4

Median (A) = 1,2,2,3,3,3,7(arrange the date in ascending order) = 3
Median (B) = 3,5,5,7,8,9,12 = 7
Median (C) = 2,3,4,4,4,7,11 = 4
∴ Mean = Mode = Median of A are same i.e.= 3

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