Question Type 1: Creating rank tables for a given data set Exercises

Let $a < b < c$. For the data $(b, a), (a, b), (c, c)$, compute Spearman’s rank correlation coefficient.

A student’s study time (hours) and exam score are recorded as $(2, 70), (4, 80), (1, 65), (3, 75), (5, 90)$.

Calculate Spearman’s rank correlation coefficient for this data.

Given the data points $\{(10,19),(20,15),(11,29),(55,87),(20,59)\}$, calculate Spearman’s rank correlation coefficient.

Compute Spearman’s rank correlation coefficient for the following set of data, using average ranks for ties: $\{(1, 5), (2, 5), (2, 4), (3, 3), (4, 2)\}$

Let $a < b < c$. For the points $(a, b)$, $(b, c)$, and $(c, a)$, determine Spearman’s rank correlation coefficient $\rho$.

For the data set $\{(5,30), (15,20), (5,40), (25,10)\}$, calculate Spearman’s rank correlation coefficient.

For the data $\{(100,1), (200,2), (100,4), (300,3)\}$, compute Spearman’s rank correlation coefficient.

For the six points $\{(1,4),(2,3),(3,5),(4,2),(5,6),(6,1)\}$, find Spearman’s rank correlation coefficient, $r_s$.

Find Spearman’s rank correlation coefficient for the three points $(a, c), (b, b), (c, a)$, where $a < b < c$.

Given the pairs $\{(1,2),(2,1),(3,4),(4,3),(5,5)\}$, find Spearman’s rank correlation coefficient.

Compute Spearman’s rank correlation coefficient for the perfectly decreasing data $\{(1,5),(2,4),(3,3),(4,2),(5,1)\}$.