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The Mean of the Following Distribution is 52 and the Frequency of Class Interval 30-40 is ‘F’. Find ‘F’. - ICSE Class 10 - 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’.

Class
Interval
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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APPEARS IN

 2009-2010 (March) (with solutions)
Question 7.3 | 4.00 marks
Solution The Mean of the Following Distribution is 52 and the Frequency of Class Interval 30-40 is ‘F’. Find ‘F’. Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.
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