wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Calculate the standard deviation and coefficient of variation for the following distribution.
Marks (x)1020304050
Number of students (f)43652

Open in App
Solution

Scores
x
Frequence
f
fxDeviation from mean d=(x¯¯¯x)d2fd2
10440193611444
20360981243
306180+116
405200+11121605
502100+21441882
n=20fx=580fd2=3180
(i) Arithmetic mean =¯¯¯x=fxn=58020=29
Mean=¯¯¯x=29
(ii) σ=fd2n=318020=159=12.61
σ=12.61
(iii) C.V=σ¯¯¯x×100=12.6129×100=126129=43.48
C.V.=43.48

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Standard Deviation about Mean
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon