Following tale gives income (X) and expenditure (Y) of 25 families: Y/X 200 – 300 300 – 400 400 – 500 200 – 300. Find Marginal frequeny distributions of income and expenditure. - Mathematics and Statistics

Sum

Following tale gives income (X) and expenditure (Y) of 25 families:

 Y/X 200 – 300 300 – 400 400 – 500 200 – 300 IIII I IIII I I 300 – 400 – IIII IIII I 400 – 500 – – II

Find Marginal frequency distributions of income and expenditure.

Solution

The bivariate frequency distribution is

 Y/X 200 – 300 300 – 400 400 – 500 Total (fy) 200 – 300 6 6 1 13 300 – 400 0 4 6 10 400 – 500 0 0 2 2 Total (fx) 6 10 9 25

The Marginal frequency distributions of income (X):

 X 200 – 300 300 – 400 400 – 500 Total Frequency 6 10 9 25

The Marginal frequency distributions of expenditure (Y):

 Y 200 – 300 300 – 400 400 – 500 Total Frequency 13 10 2 25
Concept: Classification and Tabulation of Bivariate Data - Marginal Frequency Distributions
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Chapter 4: Bivariate Frequency Distribution and Chi Square Statistic - Exercise 4.1 [Page 49]

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Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 4 Bivariate Frequency Distribution and Chi Square Statistic
Exercise 4.1 | Q 1. (i) | Page 49
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