Statistical Description of DataMTP Apr 21Question 2737 of 295
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The following frequency distribution: x | 12 | 17 | 24 | 36 | 45 f | 2 | 5 | 3 | 9 | 8 is classified as-

Options

AContinuous
BDiscrete
CCumulative
DNone of these
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Correct Answer

✅ Option b — Discrete

All Options:

  • AContinuous
  • BDiscrete
  • CCumulative
  • DNone of these

Detailed Solution & Explanation

In the given frequency distribution table, the variable x\displaystyle x assumes specific, isolated numerical values (12,17,24,36,45\displaystyle 12, 17, 24, 36, 45) rather than continuous ranges or intervals. Each value of x\displaystyle x is paired with a corresponding frequency f\displaystyle f (which counts how many times that specific value occurs in the dataset). - Because the variable x\displaystyle x takes discrete, distinct integer values with no fractional intermediate values represented, this series is a **discrete frequency distribution** (or discrete series). - A continuous distribution would have class intervals (e.g., 10−15\displaystyle 10-15, 15−20\displaystyle 15-20), and a cumulative distribution would show running totals of frequencies. Hence, the distribution is classified as Discrete. Hence, **Option B** is the correct answer.

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