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Correlation — Practice Quiz

ICSE · Class 11 · Economics

Try a 4-question quiz on Correlation for ICSE Class 11 Economics: tap an answer to check it and see why. 64 questions in the full chapter test.

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Quick Quiz: Correlation

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1

A set of price and supply data is used to calculate Karl Pearson's coefficient of correlation by the direct method. If \sum x y = 24,000, \sum x^2 = 37,000, and \sum y^2 = 23,000, what is the value of r?

2

A correlation table gives \sum d x = 5, \sum d y = -1, \sum d x^2 = 85, \sum d y^2 = 213, \sum d x d y = -128, and N=10. What is r by the short-cut method?

3

A step-deviation table uses d'x = (X-600)/50 and d'y = (Y-550)/50. If \sum d'x = 6, \sum d'y = -8, \sum d'x^2 = 22, \sum d'y^2 = 22, \sum d'x d'y = 0, and N=5, what is the value of r?

4

For a set of ranks, the sum of squared rank differences is \sum D^2 = 6 and N=8. What is Spearman's rank correlation coefficient?

64 Questions·
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Sample Questions

1multiple choice
3 marks

A rank-correlation problem has tied groups of sizes 3, 2, and 2. The uncorrrected sum of squared rank differences is \sum D^2 = 41 and N=10. What is the corrected rank correlation coefficient?

Show answer

0.73

Add the tie adjustments: (1/12)(3^3 - 3) = 2, and each (1/12)(2^3 - 2) = 0.5. Total adjustment = 3. So corrected sum = 41 + 3 = 44. Then r = 1 - [6 x 44] / [10(100 - 1)] = 1 - 264/990 = 0.73.

2multiple choice
3 marks

A linear relation is written as y = a + bx. If the intercept is 12 and the slope is 4, what is the value of y when x = 7?

Show answer

40

Substitute into y = a + bx. So y = 12 + 4 x 7 = 12 + 28 = 40.

3multiple choice
3 marks

Two variables have covariance C=18, standard deviations \sigma_x = 3 and \sigma_y = 6. What is Karl Pearson's coefficient of correlation?

Show answer

1

Use r = C / (sigma_x sigma_y). So r = 18 / (3 x 6) = 18 / 18 = 1. Covariance has a unit, but r is unit-free.

4multiple choice
3 marks

A data set gives \sum x y = 24, \sum x^2 = 36, and \sum y^2 = 64. What is the direct-method value of r?

Show answer

0.50

Use r = sum xy / sqrt(sum x^2 x sum y^2). Thus r = 24 / sqrt(36 x 64) = 24 / 48 = 0.50.

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Frequently Asked Questions

What are the important topics in Correlation for ICSE Class 11 Economics?
Key topics in Correlation include Meaning, Nature, and Importance of Correlation, Types and Degrees of Correlation, Methods of Measuring Correlation, Karl Pearson's Coefficient of Correlation. Study these first, then practise questions on each for Class 11 exams.
How many practice questions are there for Correlation?
There are 64 questions on Correlation. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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