# 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

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 Marginal frequency distribution of X.

#### 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

Marginal frequency distribution of X:

 X 35 – 45 45 – 55 55 –  65 65 – 75 Total Frequency 8 4 7 5 24
Concept: Classification and Tabulation of Bivariate Data - Marginal Frequency Distributions
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Chapter 4: Bivariate Frequency Distribution and Chi Square Statistic - Miscellaneous Exercise 4 [Page 54]

#### 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. (i) | Page 54
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