Statistical Description of DataPYQ Nov. 18Question 2680 of 295
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Following frequency distribution is classified asX | 12 | 17 | 24 | 36 | 45F | 2 | 5 | 3 | 8 | 9

Options

AContinuous distribution
BSimple Frequency Distribution
CCumulative frequency distribution
DNone of these
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Correct Answer

✅ Option b — Simple Frequency Distribution

All Options:

  • AContinuous distribution
  • BSimple Frequency Distribution
  • CCumulative frequency distribution
  • DNone of these

Detailed Solution & Explanation

A frequency distribution is a tabular summary of data showing the number (frequency) of items in each of several non-overlapping classes. Frequency distributions can be classified into different types: 1. **Simple Frequency Distribution (or Discrete Frequency Distribution)**: This is a distribution where the variable X\displaystyle X takes distinct, isolated, individual values (e.g., 12,17,24,36,45\displaystyle 12, 17, 24, 36, 45), and each value is paired with its corresponding frequency of occurrence (F\displaystyle F). No grouping into ranges is involved. 2. **Continuous Frequency Distribution (or Grouped Frequency Distribution)**: This is a distribution where data are grouped into continuous class intervals (e.g., 10−20,20−30\displaystyle 10-20, 20-30, etc.) along with their corresponding frequencies. 3. **Cumulative Frequency Distribution**: This is a distribution showing the cumulative frequency (either 'less-than' or 'more-than') up to each class boundary or value, rather than the simple individual frequency. For the given distribution: X∣12∣17∣24∣36∣45X \mid 12 \mid 17 \mid 24 \mid 36 \mid 45 F∣2∣5∣3∣8∣9F \mid 2 \mid 5 \mid 3 \mid 8 \mid 9 We see that the variable X\displaystyle X lists discrete individual values and F\displaystyle F represents their individual simple frequencies. There are no class intervals, nor are the frequencies accumulated. Thus, it is classified as a Simple Frequency Distribution (or Discrete Frequency Distribution). This matches Option B. Hence, **Option B** is the correct answer.

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