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Question
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)
Conditional frequency distribution of advertisement expenditure when the sales are between 125 – 135 (lakh Rs.)
Solution
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 |
Conditional frequency distribution of Y when X is between 125 – 135:
| Y | 60 – 62 | 62 – 64 | 64 – 66 | 66 – 68 | 68 – 70 | Total |
| Frequency | 1 | 0 | 1 | 2 | 1 | 5 |
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