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Miscellaneous Exercise 8 (II) · Q42
Q.

Calculate S.D. from following data.

Age (In yrs)20-2930-3940-4950-5960-6970-7980-89
Freq.651005587423813
Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
76% · 42/55 Questions
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Step 1: Mid-values of the classes 20-29,...,80-89 are 24.5, 34.5, 44.5, 54.5, 64.5, 74.5, 84.5, with N=∑fi=65+100+55+87+42+38+13=400N=\sum f_i=65+100+55+87+42+38+13=400.

Step 2: ∑fixi=1592.5+3450+2447.5+4741.5+2709+2831+1098.5=18870\sum f_ix_i = 1592.5+3450+2447.5+4741.5+2709+2831+1098.5=18870, so xˉ=18870/400=47.175\bar{x}=18870/400=47.175.

Step 3: ∑fixi2≈39016.25+119025+108913.75+258411.75+174730.5+210909.5+92823.25=1003830\sum f_ix_i^2 \approx 39016.25+119025+108913.75+258411.75+174730.5+210909.5+92823.25=1003830. …

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