find the
mean of the following
frequency distribution.
Xi=10
30 50 70 89
Fi=
7 8 10 15 10
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Answer:
Given;
x y xy
10 7 70
30 8 240
50 10 500
70 15 1050
89 10 890
Now as we know the mean is given by
\overline{x} = \dfrac{\sum f_ix_i}{\sum f_i}
x
=
∑f
i
∑f
i
x
i
Therefore we have
\overline {x} = \dfrac{70+240+500+1050+890}{7+8+10+15+10} =\dfrac{2750}{50} =55
x
=
7+8+10+15+10
70+240+500+1050+890
=
50
2750
=55
Hence the mean is 55
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