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Miscellaneous Exercise 8 (II) · Q41
Q.

Compute the variance and S.D. for the following data:

X623064476346352860
F583457837
Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
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Step 1: N=∑fi=5+8+3+4+5+7+8+3+7=50N=\sum f_i=5+8+3+4+5+7+8+3+7=50.

Step 2: ∑fixi=310+240+192+188+315+322+280+84+420=2351\sum f_ix_i = 310+240+192+188+315+322+280+84+420=2351, so xˉ=2351/50=47.02\bar{x}=2351/50=47.02.

Step 3: ∑fixi2=19220+7200+12288+8836+19845+14812+9800+2352+25200=119553\sum f_ix_i^2 = 19220+7200+12288+8836+19845+14812+9800+2352+25200=119553. …

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