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

If a variable X takes values 0, 1, 2,..., n with frequencies nC0, nC1, nC2 , ... , nCn, then write variance X.

Open in App
Solution

x=i=0nxifii=0nfi=0×Con+1×C1n+...+n×CnnCon+C1n+...+Cnnx=n×2n-12nn+1 =nn+12Var(X)=σ2 =1ni=0nxi-x2 =1n0+1+2+....+n-nx2σ2=1nnn+12-n×nn+122 =1nnn+121-n2 =n24nn+12n-12

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Mean of Ungrouped Data
STATISTICS
Watch in App
Join BYJU'S Learning Program
CrossIcon