Question

Match the LIST-I with LIST-II and choose the correct answer from the options given below: \[ \begin{array}{|l|l|} \hline \textbf{LIST I} & \textbf{LIST II} \\ \hline A. \ \text{Correlation Coefficient value lies between} & I. \ \text{For Getting the Higher Precision} \\ B. \ \text{Standard Deviation} & II. \ \text{Unitless Measure of Dispersion} \\ C. \ \text{Larger Samples} & III. \ \text{-1 to +1} \\ D. \ \text{Coefficient of Variation} & IV. \ \text{Best Measure of Dispersion} \\ \hline \end{array} \]

• A. A - I, B - II, C - III, D - IV
• B. A - I, B - III, C - II, D - IV
• C. A - I, B - II, C - IV, D - III
• D. A - III, B - IV, C - I, D - II

Hint:

Remember: Correlation = -1 to +1, SD = best dispersion, Larger samples = precision, CV = unitless dispersion.

Answer 1

The Correct Option is D

Step 1: Correlation Coefficient.
The correlation coefficient quantifies the strength and direction of the linear association between two variables. Its range is from -1 to +1. Therefore, A corresponds to III.
Step 2: Standard Deviation.
Standard deviation is the preferred measure of dispersion because it incorporates all data points. Consequently, B corresponds to IV.
Step 3: Larger Samples.
Increased sample sizes lead to enhanced precision and more dependable estimates. Thus, C corresponds to I.
Step 4: Coefficient of Variation.
This is a relative, unitless measure of dispersion used to compare variability between different datasets. Hence, D corresponds to II.
Step 5: Conclusion.
The correct matching is: A - III, B - IV, C - I, D - II.