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.
To calculate the coefficient of association between the area (rural or urban) and the Board of Education (CBSE or other), we can use a measure of association such as the Phi coefficient (φ) for a 2x2 contingency table. The Phi coefficient is a measure of the strength and direction of association between two categorical variables.
In your case, the data can be represented in the following 2x2 contingency table:
```
Rural Urban
CBSE Board 200 100
________ _______ __________ _______ ______ _______.
___ ___ ___ ___ _____ _____ ______ ____ ______ __________.
________ _________ ______ ______ _________ ______ _____.
____ _______ ____ ________ _____ ___ ______ ______ _____ __________ ________.
__________ ______ _________ ______ ____ ___ _____ ____ _______.
________ _________ _______ _____ _________ ______ _______ ______ ______ ____.
_____ _______ ______ ________ _________ ________ __________.
______ ____ ____ ________ ______ ______ ________ ______.
___ _____ ______ ________ ___ _____ __________ __________ ________.
_______ ____ _______ _________ __________ _______ _______ __________.
_______ _________ _______ ___ _________ _________ _______.
__________ _____ ___ ________ _____ _________.
__________ _________ ____ __________ ___ __________ ____ _____ ___ __________.
________ ____ _______ _________ ________ ________ ______ ________.
______ ______ _____ ____ _________ ______ ______ __________ ________ ___.
_________ _____ ____ _______ _____ ____ _____ __________ ________ __________.
______ _____ ______ ______ _________ __________ _______ _____ _______ ___ _______.
_________ _______ _______ ____ ______ ______ _________ ________ _____ _______ _________.
_______ ____ ________ __________ _________ ________ ___ _______ ___ _______.
______ _____ ___ ______ ___ ________.
__________ ___ _________ ______ ______.
________ _____ __________ ____ __________ ________ _________.
_____ ______ ________ _____ _______.
___ ______ _____ _________ ___ _____ _________ _____ _____ __________ __________.
______ __________ ______ ___ ____ _____ ______ ___ ____ __________.
______ _______ __________ ___ __________ ____ _________ _______ ______ ________ ______.
_____ _______ ____ ______ __________ __________ _______ ______.
_________ ___ __________ ________ ________ ______ ____ __________ ________ ______ _________.
___ __________ _______ ________ __________.
____ ________ _____ ____ ___ __________ _________ ___ ______ ______.
______ ______ __________ ________ _________.
_________ ___ ______ ____ _____ ___ _______ _________ __________ ____ ______ _________.
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Write the properties Of a good measure Of dispersion. The following information for the two groups of individuals is given as:
Describe the assumptions for correlation Prove that correlation coefficient is independent
of change of origin and scale both.
If the regression coefficients 
of a data are 1.6 and 0.4, respectively, then the value of r(X, Y) is 0.8.
The correlation coefficient between two variables X and Y, 
If each value of X is multiplied by 10 and each value of Y is multiplied by 20, then the modified regression coefficient 
would be the half of previous.
For the following distribution, calculate first four central moments using recurrence
relations. Also find the coefficients of skewness and kurtosis.
| Marks: | 2.7- 7.5 | 7.5- 12.5 | 12.5- 17.5 | 17.5- 22.5 | 22.5- 27.5 | 27.5- 32.5 | 32.5- 37.5 |
| Frequency: | 06 | 13 | 23 | 39 | 19 | 15 | 05 |