Statistical Description of DataMTP May 20Question 2775 of 295
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Find the number of observations between 250\displaystyle 250 and 300\displaystyle 300 from the following dataValue | More than 200\displaystyle 200 | More than 250\displaystyle 250 | More than 300\displaystyle 300 | More than 350\displaystyle 350No of observation | 56\displaystyle 56 | 38\displaystyle 38 | 15\displaystyle 15 | 0\displaystyle 0

Options

A56\displaystyle 56
B23\displaystyle 23
C15\displaystyle 15
D8\displaystyle 8
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Correct Answer

✅ Option b — 23\displaystyle 23

All Options:

  • A56\displaystyle 56
  • B23\displaystyle 23
  • C15\displaystyle 15
  • D8\displaystyle 8

Detailed Solution & Explanation

From the given cumulative distribution: - Number of observations more than 250=38\displaystyle 250 = 38 - Number of observations more than 300=15\displaystyle 300 = 15 The number of observations between 250\displaystyle 250 and 300\displaystyle 300 consists of those observations that are more than 250\displaystyle 250 but not more than 300\displaystyle 300. This is calculated as: Number of observations between 250 and 300=(More than 250)−(More than 300)\text{Number of observations between } 250 \text{ and } 300 = (\text{More than } 250) - (\text{More than } 300) Number of observations=38−15=23\text{Number of observations} = 38 - 15 = 23 Hence, **Option B** is the correct answer.

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