# Following data gives height in cm (X) and weight in kgs (Y) of 20 boys. Prepare a bivariate frequency table taking class intervals 150-154, 155-159...etc. for X and 35-39, 40-44 etc. for Y. Also find - Mathematics and Statistics

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Following data gives height in cm (X) and weight in kgs (Y) of 20 boys. Prepare a bivariate frequency table taking class intervals 150-154, 155-159 ...etc. for X and 35-39, 40-44 ...etc. for Y. Also find Marginal frequency distributions.

#### Solution

Let X: height in cms.
Y: weight in kgs.

 Y/X 150 – 154 155 – 159 160 – 164 165 – 169 35 – 39 III I – – 40 – 44 II III – – 45 – 49 I II I – 50 – 54 I I III II

Bivariate frequency distribution is

 Y/X 150 – 154 155 – 159 160 – 164 165 – 169 Total (fy) 35 – 39 3 1 – – 4 40 – 44 2 3 – – 5 45 – 49 1 2 1 – 4 50 – 54 1 1 3 2 7 Total (fx) 7 7 4 2 20

Marginal distribution for X (height in cms)

 X 150 – 154 155 – 159 160 – 164 165 – 169 Total Frequency 7 7 4 2 20

Marginal distribution for Y (weight in kgs)

 Y 35 – 39 40 – 44 45 – 49 50 – 54 Total Frequency 4 5 4 7 20
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]

#### APPEARS IN

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 5. (i) | Page 49
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