#### Shaalaa.com | Rank Correlation Coefficient problem-1

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Calculate Spearman's Rank Correlation Coefficient between the following marks given by 'two' judges (A) and (B) to •eight' contestants in the elocution competition:

Contestants |
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |

Marks by A |
81 | 72 | 60 | 33 | 29 | 11 | 56 | 42 |

Marks byB |
75 | 56 | 42 | 15 | 30 | 20 | 60 | 80 |

Ranking of 8 trainees at the beginning (X) and at the end (Y), of a certain course are given below :

Trainees |
A | B | C | D | E | F | G | H |

X |
1 | 2 | 4 | 5 | 6 | 8 | 3 | 7 |

Y |
2 | 4 | 3 | 7 | 8 | 1 | 5 | 6 |

Calculate Spearman's rank correlation coefficient.

Draw scatter diagram for the following data and identify the type of correlation.

capital (₹ in crore) |
2 | 3 | 4 | 5 | 6 | 8 | 9 |

Profit (₹ in lakh) |
6 | 5 | 7 | 7 | 8 | 12 | 11 |