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Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
Assertion (A): Less than or more than ogive can be used to calculate correlation.
Reason (R): When changes in two related variables are in the same ratio, then it is a case of perfect correlation.
  • a)
    Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).
  • b)
    Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • c)
    Assertion (A) is true, but Reason (R) is false.
  • d)
    Assertion (A) is false, but Reason (R) is true.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Direction: In the following questions, a statement of Assertion (A) i...
Assertion (A): Less than or more than ogive can be used to calculate correlation.
Reason (R): When changes in two related variables are in the same ratio, then it is a case of perfect correlation.

The correct answer is option 'D' - Assertion (A) is false, but Reason (R) is true.

Explanation:
Correlation:
Correlation is a statistical measure that shows the relationship between two variables. It measures the degree to which changes in one variable correspond to changes in another variable. Correlation can be positive (direct relationship) or negative (inverse relationship).

Less than ogive and more than ogive:
Less than ogive and more than ogive are graphical representations of cumulative frequency distributions. They are used to analyze and interpret data.

Assertion (A) - False:
Less than ogive and more than ogive are not used to directly calculate correlation. They are used to analyze the distribution of data, calculate percentiles, and estimate median, quartiles, etc. Correlation is calculated using specific statistical methods such as Pearson correlation coefficient or Spearman's rank correlation coefficient.

Reason (R) - True:
When changes in two related variables are in the same ratio, it indicates a perfect correlation between them. In other words, if the increase or decrease in one variable is directly proportional to the increase or decrease in the other variable, then it is a case of perfect correlation. This can be observed through a scatter plot or by calculating the correlation coefficient.

Conclusion:
The reason provided in the question is true - when changes in two related variables are in the same ratio, it is a case of perfect correlation. However, the assertion is false - less than ogive and more than ogive are not used to calculate correlation. Therefore, the correct answer is option 'D' - Assertion (A) is false, but Reason (R) is true.
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Community Answer
Direction: In the following questions, a statement of Assertion (A) i...
If the ratio of change between two variable is not constant i.e. change in one variable leads to a change in another variable but by different amount or when all the points in the scatter diagram tends to lie around a smooth curve.
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Direction: In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): Less than or more than ogive can be used to calculate correlation.Reason (R): When changes in two related variables are in the same ratio, then it is a case of perfect correlation.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of the Assertion (A).b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).c)Assertion (A) is true, but Reason (R) is false.d)Assertion (A) is false, but Reason (R) is true.Correct answer is option 'D'. Can you explain this answer?
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