Maharashtra State BoardHSC Commerce 11th
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Following data gives the coded price (X) and demand (Y) of a commodity. Price 5 7 9 8 10 7 9 8 5 11 11 10 2 3 9 Demand 9 15 13 15 14 10 11 14 10 14 6 14 15 11 12 Price 2 4 3 14 6 10 7 - Mathematics and Statistics

Sum

Following data gives the coded price (X) and demand (Y) of a commodity.

Price 5 7 9 8 10 7 9 8 5 11 11 10 2 3 9
Demand 9 15 13 15 14 10 11 14 10 14 6 14 15 11 12
Price 2 4 3 14 6 10 7 15 8 6 5 6 11 14 15
Demand 6 11 8 11 10 15 9 15 13 9 14 10 7 5 6

Classify the data by taking classes 0 – 4, 5 – 9, etc. for X and 5 – 8, 9 – 12, etc. for Y. Also find conditional frequency distribution of Y when X is less than 10

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Solution

Given,
X = coded price
Y= demand
Bivariate frequency table can be prepared by taking class intervals 0 – 4, 5 – 9,…etc for X and 5 – 8, 9 – 12,… etc for Y.
Bivariate frequency distribution is as follows:

Demand (Y)/Coded price (X) 0 – 4 5 – 9 10 – 14 15 – 19 Total (fy)
5 – 8 II (2)   III (3) I (1) 6
9 – 12 II (2) IIII IIII (9) I (1) 12
13 – 16 I (1) IIII I (6) IIII (4) I (1) 12
Total (fx) 5 15   2 30

Conditional frequency distribution of Y when X < 10:

X 5 – 8 9 – 12 13 – 16 Total
Frequency 2 11 7 20
Concept: Classification and Tabulation of Bivariate Data - Conditional Frequency Distributions
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 4 Bivariate Frequency Distribution and Chi Square Statistic
Miscellaneous Exercise 4 | Q 1. (ii) | Page 53
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