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Exercise 8.2 · Q11
Q.

Find mean, variance and S.D. of the following data.

Classes10-2020-3030-4040-5050-6060-7070-8080-9090-100
Freq.714613915111015
Maharashtra MsbshseTextbookSubjectiveImportance★★★★★
20% · 11/55 Questions
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Step 1: Take the mid-value of each class: 15, 25, 35, 45, 55, 65, 75, 85, 95, with N=∑fi=7+14+6+13+9+15+11+10+15=100N=\sum f_i=7+14+6+13+9+15+11+10+15=100.

Step 2: ∑fixi=105+350+210+585+495+975+825+850+1425=5820\sum f_ix_i = 105+350+210+585+495+975+825+850+1425=5820, so xˉ=5820/100=58.2\bar{x}=5820/100=58.2.

Step 3: ∑fixi2=1575+8750+7350+26325+27225+63375+61875+72250+135375=404100\sum f_ix_i^2 = 1575+8750+7350+26325+27225+63375+61875+72250+135375=404100. …

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