IB Mathematics Applications & Interpretation 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 $\{(1,5),(2,4),(3,3),(4,2),(5,1)\}$.