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 marginal frequency distribution of X and Y.

Given, X = coded price Y= demandBivariate 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 Marginal frequency distribution of X: X 0 – 4 5 – 9 10 – 14 15 – 19 Total Frequency 5 15 8 2 30 Marginal frequency distribution of Y: Y 5 – 8 9 – 12 13 – 16 Total Frequency 6 12 12 30

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 1 - Mathematics and Statistics

Question

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 marginal frequency distribution of X and Y.

Sum

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 (f_y)
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 (f_x)	5	15		2	30

Marginal frequency distribution of X:

X	0 – 4	5 – 9	10 – 14	15 – 19	Total
Frequency	5	15	8	2	30

Marginal frequency distribution of Y:

Y	5 – 8	9 – 12	13 – 16	Total
Frequency	6	12	12	30

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Classification and Tabulation of Bivariate Data - Marginal Frequency Distributions

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Q 1. (i)Q 5. (b)Q 1. (ii)

Chapter 4: Bivariate Frequency Distribution and Chi Square Statistic - Miscellaneous Exercise 4 [Page 53]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board

Chapter 4 Bivariate Frequency Distribution and Chi Square Statistic
Miscellaneous Exercise 4 | Q 1. (i) | Page 53

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Y	500	800	870	599	625	650	905	700	850	824
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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 15 8 6 5 6 11 1 - Mathematics and Statistics

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X	110	88	91	115	97	85	85	91	120	95
Y	500	800	870	599	625	650	905	700	850	824
X	82	105	99	90	108	124	90	90	111	89
Y	970	609	990	735	600	735	729	840	999	780
X	112	100	87	92	91	82	96	120	121	122
Y	638	850	630	720	695	923	555	810	805	526

X	110	88	91	115	97	85	85	91	120	95
Y	500	800	870	599	625	650	905	700	850	824
X	82	105	99	90	108	124	90	90	111	89
Y	970	609	990	735	600	735	729	840	999	780
X	112	100	87	92	91	82	96	120	121	122
Y	638	850	630	720	695	923	555	810	805	526

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 1 - Mathematics and Statistics

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Question

SolutionShow Solution

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RELATED QUESTIONS

Select a course

Solution

X	110	88	91	115	97	85	85	91	120	95
Y	500	800	870	599	625	650	905	700	850	824
X	82	105	99	90	108	124	90	90	111	89
Y	970	609	990	735	600	735	729	840	999	780
X	112	100	87	92	91	82	96	120	121	122
Y	638	850	630	720	695	923	555	810	805	526