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The table shows the mark obtained by students in a test.<...

The table shows the mark obtained by students in a test.

Marks 1 2 3 4 5
Frequency 2 k 1 1 2

A.

4

B.

1

C.

2

D.

3

Correct answer is B

 x̄ =fxf=3

=(1×2)+(2×k)+(3×1)+(4×1)+(5×2)2+k+1+1+2=3

=2+2k+3+4+106+k=3

=19+2k6+k=3

=19+2k6+k=31

=19+2k=3(6+k)

=19+2k=18+3k

=2k-3k=18-19

=-k=-1

∴k=1