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Prepare a bivariate frequency distribution for the following data, taking class intervals for X as 35 – 45, 45 – 55, …. etc and for Y as 115 – 130, 130 – 145, … etc. - Mathematics and Statistics

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Sum

Prepare a bivariate frequency distribution for the following data, taking class intervals for X as 35 – 45, 45 – 55, …. etc and for Y as 115 – 130, 130 – 145, … etc. where X denotes the age in years and Y denotes blood pressure for a group of 24 persons.
(55, 151) (36, 140) (72, 160) (38, 124) (65, 148) (46, 130) (58, 152) (50, 149) (38, 115) (42, 145) (41, 163) (47, 161) (69, 159) (60, 161) (58, 131) (57, 136) (43, 141) (52, 164) (59, 161) (44, 128) (35, 118) (62, 142) (67, 157) (70, 162)
Also, find Conditional frequency distribution of Y when X ≤ 45.

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Solution

Given X = Age in years
Y = Blood pressure
Bivariate frequency table can be prepared by taking class intervals 35 – 45, 45 – 55, …. etc for X and 115 – 130, 130 – 145, … etc for Y.
Bivariate frequency distribution is as follows:

Blood Pressure (y)/
Age in years(X)
35 – 45 45 – 55 55 –  65 65 – 75 Total (fy)
115 –  130 IIII (4) 4
130 –  145 II (2) I (1) III (3) 6
145 –  160 I (1) I (1) II (2) III 3) 7
160 –  175 I (1) II (2) II (2) II (2) 7
Total (fx) 8 4 7 5 24

Conditional frequency distribution of Y when X < 45:

Y 115 – 130 130 – 145 145 – 160 160 – 175 Total
Frequency 4 2 1 1 8
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 4. (ii) | Page 54
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