Statistical Description of DataMTP Dec 22 Series IIQuestion 2787 of 295
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From the following data, cumulative frequency for the class 20−30\displaystyle 20-30 isClass | 0−10\displaystyle 0-10 | 10−20\displaystyle 10-20 | 20−30\displaystyle 20-30 | 30−40\displaystyle 30-40 | 40−50\displaystyle 40-50---|---|---|---|---|---Freq | 4\displaystyle 4 | 6\displaystyle 6 | 20\displaystyle 20 | 8\displaystyle 8 | 3\displaystyle 3

Options

A26\displaystyle 26
B10\displaystyle 10
C41\displaystyle 41
D30\displaystyle 30
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Correct Answer

✅ Option d — 30\displaystyle 30

All Options:

  • A26\displaystyle 26
  • B10\displaystyle 10
  • C41\displaystyle 41
  • D30\displaystyle 30

Detailed Solution & Explanation

We are given the simple frequencies of classes: - Class 0−10\displaystyle 0-10: Freq = 4\displaystyle 4 - Class 10−20\displaystyle 10-20: Freq = 6\displaystyle 6 - Class 20−30\displaystyle 20-30: Freq = 20\displaystyle 20 - Class 30−40\displaystyle 30-40: Freq = 8\displaystyle 8 - Class 40−50\displaystyle 40-50: Freq = 3\displaystyle 3 The cumulative frequency for the class 20−30\displaystyle 20-30 is the sum of frequencies of all classes up to 20−30\displaystyle 20-30: Cumulative frequency=Freq(0−10)+Freq(10−20)+Freq(20−30)\text{Cumulative frequency} = \text{Freq}(0-10) + \text{Freq}(10-20) + \text{Freq}(20-30) Cumulative frequency=4+6+20=30\text{Cumulative frequency} = 4 + 6 + 20 = 30 This matches Option D. Hence, **Option D** is the correct answer.

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