Sum

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 conditional frequency distribution of Y when X is less than 10

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#### 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 |

Conditional frequency distribution of Y when X < 10:

X |
5 – 8 | 9 – 12 | 13 – 16 | Total |

Frequency |
2 | 11 | 7 | 20 |

Concept: Classification and Tabulation of Bivariate Data - Conditional Frequency Distributions

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