Calculate the rank correlation coefficient for the following data:
| Marks | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Mathematics | 76 | 80 | 85 | 80 | 78 | 65 | 85 | 80 |
| Physics | 91 | 78 | 82 | 78 | 86 | 80 | 88 | 92 |
To calculate the rank correlation coefficient, you can use the Spearman's Rank Correlation Coefficient formula. First, you need to rank the data and then apply the formula. Here's how you can do it step by step:
1. Rank the data for both Mathematics and Physics separately, considering tied values by giving them the average rank:
For Mathematics:
- 65 gets rank 1.
- 76 gets rank 2.
- 78 gets rank 3.5 (average of 3 and 4).
- 80 gets rank 3.5
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Calculate the rank correlation coefficient for the following data:
| Marks | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Mathematics | 76 | 80 | 85 | 80 | 78 | 65 | 85 | 80 |
| Physics | 91 | 78 | 82 | 78 | 86 | 80 | 88 | 92 |
The correlation coefficient between two variables X and Y, 
If the regression coefficients 
of a data are 1.6 and 0.4, respectively, then the value of r(X, Y) is 0.8.
Write the properties Of a good measure Of dispersion. The following information for the two groups of individuals is given as:
The sum of deviations of 15 value from their main is 15.