The arithematic mean of n natural numbers assinged the values 1, 2, 3,.....,n is 
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The correlation coefficient between two variables X and Y, 
The arithematic mean of n natural numbers assinged the values 1, 2, 3,.....,n is
Describe the assumptions for correlation Prove that correlation coefficient is independent
of change of origin and scale both.
Describe the conditions for consistency of the data. In a sample of 1000 students admitted
in a college, 500 belonged to rural areas and the rest belonged to urban areas. The number
of students belonging CBSE Board from both areas are 200 and 100, respectively.
Calculate the coefficient of association between area and the Board of Education.
Describe the various types of measures of skewness. If the first four raw moments are 10, 100, 200 and 250 for given data then calculate the coefficients Of skewness and kurtosis.
Derive the formula for the coefficient of partial correlation coefficient R1.23, R2.13 and R3.12 for the following data:
| X1 | 10 | 20 | 30 | 40 | 50 |
| X2 | 20 | 30 | 40 | 50 | 60 |
| X3 | 30 | 40 | 50 | 60 | 70 |
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 |