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 How many families have th - 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 How many families have their income Rs. 300 and more and expenses Rs. 400 and less?

Solution

Bivariate frequency distribution table for Income (X) and Expenditure (Y) is as follows:

 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 cells 300 – 400 and 400 – 500 are having income ₹ 300 and more and the cells 200 – 300 and 300 – 400 are having expenditure ₹ 400 and less. Now, the following table indicates the number of families satisfying the above condition.

 Y/X 300 – 400 400 – 500 Total 200 – 300 6 1 7 300 – 400 4 6 10 Total 10 7 17

∴ There are 17 families with income ₹ 300 and more and expenditure ₹ 400 and less.

Is there an error in this question or solution?
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. (iv) | Page 49

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