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The following question consist of two statements, one labelled as the 'Assertion $(A)^{r}$ and the other as 'Reason $(R)^{\prime} .$ You are to examine these two statements carefully and select the answer. While constructing the cumulative frequency column of a frequency distribution, it is noticed that these cumulative frequencies are in arithmetic progression Assertion (A): All the class frequencies are equal. Reason (R): When all the class frequencies are equal, the cumulative frequencies are in arithmetic progression
MathematicsStatisticsNDANDA 2007 (Phase 2)
Options:
  • A Both $\mathbf{A}$ and $\mathbf{R}$ are individually true, and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
  • B Both $\mathbf{A}$ and $\mathbf{R}$ are individually true but $\mathbf{R}$ is not the correct explanation of $\mathbf{A}$
  • C $\mathbf{A}$ is true but $\mathbf{R}$ is false.
  • D A is false but R is true. $\quad$
Solution:
1228 Upvotes Verified Answer
The correct answer is: Both $\mathbf{A}$ and $\mathbf{R}$ are individually true, and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
From the given statement
$\Rightarrow$ Both $(\mathrm{A}) \operatorname{and}(\mathrm{R})$ are true and $\mathrm{R}$ is the corred explanation of $\mathrm{A}$

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