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Exercise 8.2 · Q10
Q.

Following data gives age of 100 students in a college. Calculate variance and S.D.

Age (In years)161718192021
No. of Students20711173015
Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
18% · 10/55 Questions
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Step 1: N=∑fi=20+7+11+17+30+15=100N=\sum f_i=20+7+11+17+30+15=100.

Step 2: ∑fixi=16(20)+17(7)+18(11)+19(17)+20(30)+21(15)=320+119+198+323+600+315=1875\sum f_ix_i = 16(20)+17(7)+18(11)+19(17)+20(30)+21(15) = 320+119+198+323+600+315=1875, so xˉ=1875/100=18.75\bar{x}=1875/100=18.75.

Step 3: ∑fixi2=5120+2023+3564+6137+12000+6615=35459\sum f_ix_i^2 = 5120+2023+3564+6137+12000+6615=35459. …

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