13. Calculate standard deviation and its coefficient from the following data by short cut method (Assume 25) Marks 0-10 10-20 20-30 30-40 40-50 No. of students 1 3 5 4 2
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Answer:
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Explanation:
(i) Arithmetic mean =
x
=
n
∑fx
=
20
580
=29
∴Mean=
x
=29
(ii) σ=
n
∑fd
2
=
20
3180
=
159
=12.61
∴σ=12.61
(iii) C.V=
x
σ
×100=
29
12.61
×100=
29
1261
=43.48
∴C.V.=43.48
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