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The Mean of the Following Distribution is 52 and the Frequency of Class Interval 30-40 is ‘F’. Find ‘F’. - Mathematics

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Question

The Mean of the following distribution is 52 and the frequency of class interval 30-40 is ‘f’. Find ‘f’.

 ClassInterval 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 5 3 f 7 2 6 13

Solution

 C.I. Frequency Mid Value(x) fx 10-20 5 15 75 20-30 3 25 75 30-40 f 35 35f 40-50 7 45 315 50-60 2 55 110 60-70 6 65 390 70-80 13 75 975 sumf = 36 + f sum fx = 1940 + 35 f

Mean = (sum fx)/(sum f)

52 = (1940 + 35f)/(36 + f)

=> 1872 + 52f = 1940 + 35f

=> 17f = 68

=> f = 4

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