मराठी

Following data gives Sales (in Lakh Rs.) and Advertisement Expenditure (in Thousand Rs.) of 20 firms. (115, 61) (120, 60) (128, 61) (121, 63) (137, 62) (139, 62) (143, 63) (117, 65) (126, 64)

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प्रश्न

Following data gives Sales (in Lakh Rs.) and Advertisement Expenditure (in Thousand Rs.) of 20 firms.
(115, 61) (120, 60) (128, 61) (121, 63) (137, 62) (139, 62) (143, 63) (117, 65) (126, 64) (141, 65) (140, 65) (153, 64) (129, 67) (130, 66) (150, 67) (148, 66) (130, 69) (138, 68) (155, 69) (172, 68)
Construct a bivariate frequency distribution table for the above data by taking classes 115 – 125, 125 –135, ....etc. for sales and 60 – 62, 62 – 64, ...etc. for advertisement expenditure.

बेरीज
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उत्तर

Let X = Sales (in lakh Rs.)
Y = Advertisement Expenditure (in Thousand Rs.)
Bivariate frequency table can be prepared by taking class intervals 115 – 125, 125 –135, ....etc for X and 60 – 62, 62 – 64, …. etc for Y.
Bivariate frequency distribution is as follows:

Y/X 115 – 125 125 – 135 135 – 145 145 –155 155 – 165 165 – 175 Total (fy)
60 – 62 II (2) I (1) 3
62 – 64 I (1) III (3) 4
64 – 66 I (1) I (1) II (2) I (1) 5
66 – 68 II (2) II (2) 4
68 – 70 I (1) I (1) I (1) I (1) 4
Total (fx) 4 5 6 3 1 1 20
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पाठ 4: Bivariate Frequency Distribution and Chi Square Statistic - Miscellaneous Exercise 4 [पृष्ठ ५४]

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बालभारती Mathematics and Statistics (Commerce) Part 2 [English] Standard 11 Maharashtra State Board
पाठ 4 Bivariate Frequency Distribution and Chi Square Statistic
Miscellaneous Exercise 4 | Q 3. (i) | पृष्ठ ५४

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