M L Aggarwal Solutions for Chapter: Correlation Analysis, Exercise 3: EXERCISE

Author:M L Aggarwal

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Chapter: Correlation Analysis, Exercise 3: EXERCISE

Attempt the practice questions on Chapter 2: Correlation Analysis, Exercise 3: EXERCISE with hints and solutions to strengthen your understanding. Understanding ISC Mathematics Class 11 Volume 2 solutions are prepared by Experienced Embibe Experts.

Questions from M L Aggarwal Solutions for Chapter: Correlation Analysis, Exercise 3: EXERCISE with Hints & Solutions

MEDIUM

11th ICSE

IMPORTANT

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

Marks obtained by the nine students in physics and mathematics are given below:

Physics	$35$	$23$	$47$	$17$	$10$	$43$	$9$	$6$	$28$
Mathematics	$30$	$33$	$45$	$23$	$8$	$49$	$12$	$4$	$31$

Calculate spearman's coefficient of rank correlation and interpret the result.

HARD

11th ICSE

IMPORTANT

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

Calculate the spearman's coefficient of rank correlation (three places after decimal) from the following data and interpret result:

$x$	$16$	$19$	$22$	$28$	$25$	$31$	$37$	$40$	$43$	$49$
$y$	$25$	$25$	$27$	$31$	$27$	$33$	$35$	$41$	$45$	$41$

HARD

11th ICSE

IMPORTANT

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

The following table gives the two kinds of assessment of ten post-graduate students performance:

Students	Internal assessment marks	External assessment marks
$1 2 3 4 5 6 7 8 9 10$	$45 62 67 32 12 38 47 67 42 85$	$39 48 65 32 20 35 45 77 30 62$

Find the spearman's coefficient of rank correlation (three digits after decimal place) and interpret the result?

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 9

Spearman's coefficient of rank correlation between sales and profits of a group of firms was found to be $0.8$ . If the sum of the squares of the difference in ranks is $33$ ,find the number of firms in the group.

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 10

In a beauty contest spearman's coefficient of rank correlation between rankings given by two judges $10$ contestants was found to be $0.5$ . Later it was discovered that difference in rankings in one case was wrongly taken as $3$ instead of $7$ . Find the correct coefficient of rank correlation (three digits after decimal place)?

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 11

Calculate the spearman's coefficient of rank correlation (three digits after decimal place) between the advertisement costs and sales from the following data:

Advertisement cost (in thousands)	$39$	$65$	$62$	$90$	$82$	$75$	$25$	$98$	$36$	$78$
Sales (in lakhs)	$47$	$53$	$58$	$86$	$62$	$68$	$60$	$91$	$51$	$84$

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 12

The mathematical aptitude test score (MAS) of ten computer programmers job performance rating (JPR) is given below. Calculate spearman's rating of rank correlation (three digits after decimal place) and state whether those who have aptitude for maths are likely to be programmers:

Person	$A$	$B$	$C$	$D$	$E$	$F$	$G$	$H$	$I$	$J$
MAS	$2$	$5$	$0$	$4$	$3$	$1$	$6$	$8$	$7$	$9$
JPR	$8$	$16$	$8$	$9$	$5$	$4$	$3$	$17$	$8$	$12$

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 2>Chapter 2 - Correlation Analysis>EXERCISE>Q 13

Ten candidates received percentage of marks in two subjects as follows:

Candidate	$A$	$B$	$C$	$D$	$E$	$F$	$G$	$H$	$I$	$J$
Mathematics marks	$80$	$88$	$76$	$74$	$68$	$65$	$40$	$43$	$40$	$80$
Statistics marks	$72$	$74$	$90$	$66$	$54$	$50$	$54$	$38$	$30$	$43$

Calculate spearman's correlation coefficient(3 digits after decimal place) and interpret your result?

M L Aggarwal Solutions for Chapter: Correlation Analysis, Exercise 3: EXERCISE

M L Aggarwal Mathematics Solutions for Exercise - M L Aggarwal Solutions for Chapter: Correlation Analysis, Exercise 3: EXERCISE

Questions from M L Aggarwal Solutions for Chapter: Correlation Analysis, Exercise 3: EXERCISE with Hints & Solutions

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