A group of persons filled in a questionnaire their age and the number of countries they had visited in their lifetime.The results are recorded in the table below. $424432142165945067536701376316021\begin{array} { c | c } \text { Age } & \text { Countries Visited } \\\hline 42 & 4 \\43 & 21 \\42 & 16 \\59 & 4 \\50 & 6 \\75 & 36 \\70 & 13 \\76 & 31 \\60 & 21\end{array}$ Compute Spearman's rank correlation.Assume that rank ties will have little influence on your result.

A) 0.124
B) -0.982
C) -0.611
D) 0.592
E) 0.852

Question

A group of persons filled in a questionnaire their age and the number of countries they had visited in their lifetime.The results are recorded in the table below.

424432142165945067536701376316021\begin{array} { c | c } \text { Age } & \text { Countries Visited } \\\hline 42 & 4 \\43 & 21 \\42 & 16 \\59 & 4 \\50 & 6 \\75 & 36 \\70 & 13 \\76 & 31 \\60 & 21\end{array}

Compute Spearman's rank correlation.Assume that rank ties will have little influence on your result.

A) 0.124
B) -0.982
C) -0.611
D) 0.592
E) 0.852

Punam Verma · Accepted Answer

Final Answer : D, Explanation :  Spearman's rank correlation coefficient is a measure of the strength and direction of association between two ranked variables. It's calculated by ranking each set of data, then using the formula to determine the correlation. In this case, without calculating the exact ranks and correlation coefficient step by step, the correct answer is identified as D) 0.592, based on the assumption that rank ties have little influence on the result. This indicates a moderate positive correlation between age and the number of countries visited.

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