The law of statistics, which says "Moderately large number of items chosen at random from a large group possess the characteristics of the large group", is referred to as

Assertion (A): If regression coefficient of X on Y is greater than one, regression coefficient of Y on X must be less than one.
Reason (R): The geometric mean between two regression coefficients is the coefficient of correlation.

Consider the following statements:
1. Quartile deviations is more instructive range as it discards the dispersion of extreme items
2. Coefficient of quartile deviaton cannot be used to compare the degree of variations in different distributions
3. There are 10 deciles for a series
Which one of the above statements is/are correct?

Assertion (A): A reasonably sized sample drawn randomly from large sized population contains almost all the characteristics which exist in the population.
Reason (R): The theory of sampling is based on the two important laws of statistics, viz law of statistical regularity and law of inertia of large numbers.

The regression equation of profits (X) on sales (Y) of a firm is given as: 3Y - 5X + 10 = 0. If the sales of the firm is Rs. 44,000, the profit will be

Match the following in the term of Terms and Explanation:
List-I (Terms) List-II (Explanation)
a. $$\frac{{{Z^2} \cdot \sigma _p^2}}{{{e^2}}}$$ 1. Measurement for Kurtosis
b. $$\frac{{\left| {\overline {{X_1}} - \overline {{X_2}} } \right|}}{{\sqrt {\sigma _p^2\left( {\frac{1}{{{n_1}}} + \frac{1}{{{n_2}}}} \right)} }}$$   2. Calculated value of $$F$$ ratio
c. $$\frac{{{\mu _4}}}{{\mu _2^2}}$$ 3. Statistical approach to find out the size of sample
d. $$\frac{{\sigma _{{s_1}}^2}}{{\sigma _{{s_2}}^2}}$$ 4. Calculated $$z$$ value of mean differences

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