HSC Commerce (Marketing and Salesmanship) 12th Board ExamMaharashtra State Board
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# Calculate from E 0 0 , E 0 1 , E 0 2 from the Following Data : - HSC Commerce (Marketing and Salesmanship) 12th Board Exam - Mathematics and Statistics

ConceptStatistics Karl Pearson’s Coefficient of Correlation

#### Question

Calculate from e_0^0,e_1^0,e_2^0 from the following data :

 Age x 0 1 2 l_x 1000 900 700 T_x - - 11500

#### Solution

Given l_0=1000, l_1=900, l_2 =700, T_2=11,500

We have L_x=(l_x-l_x+1)/2

L_0=(l_0+l_1)/2

L_0=(1000+900)/2=950

L_1=(l_1+l_2)/2

=(900+700)/2=800

We have T_x=L_x+T_(x+1)

∴ T_1=L_1+T_2

∴ T_1=800+11,500=12,300

T_0=L_0+T_1

T_0=950+12,300=13,250

Now e_x^0=T_x/l_x ∴ e_0^0=T_0/l_0

∴ e_0^0 = 13250/1000=13.25

e_1^0 =T_1/l_1=12300/900=13.667

e_2^0=T_2/l_2=11500/700=16.428

Is there an error in this question or solution?

#### APPEARS IN

2017-2018 (March) (with solutions)
Question 5.1.3 | 3.00 marks

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Solution Calculate from E 0 0 , E 0 1 , E 0 2 from the Following Data : Concept: Statistics - Karl Pearson’s Coefficient of Correlation.
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