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Exercise 8.2 · Q9
Q.

Compute the variance and S.D.

X31323334353637
Frequency15121089106
Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
16% · 9/55 Questions
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Step 1: N=∑fi=15+12+10+8+9+10+6=70N=\sum f_i = 15+12+10+8+9+10+6=70.

Step 2: ∑fixi=31(15)+32(12)+33(10)+34(8)+35(9)+36(10)+37(6)=465+384+330+272+315+360+222=2348\sum f_ix_i = 31(15)+32(12)+33(10)+34(8)+35(9)+36(10)+37(6) = 465+384+330+272+315+360+222=2348, so xˉ=2348/70≈33.543\bar{x}=2348/70\approx33.543.

Step 3: ∑fixi2=14415+12288+10890+9248+11025+12960+8214=79040\sum f_ix_i^2 = 14415+12288+10890+9248+11025+12960+8214=79040. …

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