The median of the following data is
49. 2 and to find the value of F1 and F2 fi =90
Marks: 20-30 30-40 40-50 50-60 60-70 70-80 80-90
Frequency f1 15 25 20 f2 8 10
Answers
f₁ = 7 & f₂ = 5 if The median of the following data is 49. 2
Step-by-step explanation:
Class frequency cf
20 - 30 f₁ f₁
30-40 15 15 + f₁
40-50 25 40 + f₁
50-60 20 60 + f₁
60-70 f₂ 60 + f₁ + f₂
70-80 8 68 + f₁ + f₂
80-90 10 78 + f₁ + f₂
78 + f₁ + f₂ = 90
=> f₁ + f₂ = 12
Median = 49.2
=> Median lies between 40-50
Median = 40 + 10 * (90/2 - (15 + f₁))/25 = 49.2
=> (45 - 15 - f₁) = 9.2 * 25/10
=> 30 - f₁ = 23
=> f₁ = 7
f₁ + f₂ = 12
=> f₂ = 5
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