Question

Find the mean, class 0-20 20-40 40-60 60-80 80-100 frequency 17 28 32 24 19

Answer 1

xi= 10, 30, 50, 70, 90

fixi=170, 840, 1600, 1680, 1710

mean= ∑fixi÷∑fi

   =6000/118

    =50.84

Answer 2

Class . fi. xi. fixi

0-20. - 17 - 10 - 170

20-40 - 28 - 30 - 840

40-60 - 32 - 50 - 1600

60-80 - 24 - 70 - 1680

80-100 - 19 - 90 - 1710

${sigma} \: fi \: = 120$

$sigma \: fixi \: = 6000$

$MEAN$ = sigma fixi/sigma fi

= 6000/120 = 600/12 = 50

Therefore, MEAN BY DIRECT METHOD = ${50}$

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