Calculate the coefficient of correlation between income and weight:

Income $(₹)$ $100$ $200$ $300$ $400$ $500$ $600$

Weight(lbs) $120$ $130$ $140$ $150$ $160$ $170$

Important Questions on Correlation Analysis

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>CHAPTER TEST>Q 5

An examination of eight applicants for a clerical post was taken by a firm. The marks obtained by the applicants in Accountancy and Statistics papers are given below:

Applicant	$A$	$B$	$C$	$D$	$E$	$F$	$G$	$H$
Marks in Accountancy	$15$	$20$	$28$	$12$	$40$	$60$	$20$	$80$
Marks in Statistics	$40$	$30$	$50$	$= \frac{17500}{50 \sqrt{70} \times 5 \sqrt{70}} = 1$	$20$	$10$	$30$	$60$

Calculate Spearman's coefficient of rank correlation.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>CHAPTER TEST>Q 6

The following table gives the result of heights of 8 athletes and the measurements of their long jumps and high jumps (all in centimeters). Calculate the Spearman's rank correlation between height and long jump and between height and high jump. Interpret the result.

Athlete	Height	Long jump	High jump
$A$	$158$	$324$	$175$
$B$	$165$	$365$	$185$
$C$	$162$	$380$	$180$
$D$	$170$	$400$	$184$
$E$	$175$	$350$	$200$
$F$	$163$	$350$	$172$
$G$	$178$	$425$	$188$
$H$	$164$	$375$	$180$

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>CHAPTER TEST>Q 7

The marks of $8$ students in an examination in mathematics and statistics given below:

Student no.	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$
Marks in Mathematics	$70$	$48$	$58$	$55$	$54$	$50$	$60$	$52$
Marks in Statistics	$62$	$47$	$53$	$60$	$55$	$68$	$51$	$48$

Calculate Spearman's coefficient of rank correlation(up to two decimals).

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>CHAPTER TEST>Q 8

A psychologist selected a random sample of $22$ students. He grouped them in $11$ pairs so that students in a pair have nearly equal scores in an intelligent test. In each pair one student was taught by method $A$ and the other by method $B$ and examined after the course. The marks obtained by them after the course are as follows: