find the unknown values in the following table
class intervel frequency c.f
0-10 5 5
10-20 7 x₁
20-30 x₂ 18
30-40 5 x₃
40-50 x₄ 30

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Solution

CLASS INTERVALS FREQUENCY CUMULATIVE FREQUENCY

0−10 5 5

10−20 7 x₁

20−30 x₂ 18

30−40 5 x₃

40−50 x₄ 30

$The given cumulative frequency distribution is of less than type . Now, x_{1} = 5 + 7 \Rightarrow x_{1} = 12 Now, 18 = 5 + 7 + x_{2} \Rightarrow 18 - 12 = x_{2} \Rightarrow x_{2} = 6 Now, x_{3} = 5 + 7 + x_{2} + 5 \Rightarrow x_{3} = 5 + 7 + 6 + 5 \Rightarrow x_{3} = 23 Now, 30 = 5 + 7 + x_{2} + 5 + x_{4} \Rightarrow 30 = 17 + 6 + x_{4} \Rightarrow x_{4} = 7$

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Frequency	5	8	10	x	y	30

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