LIST I  | LIST II  | ||
| A. | Weight is considered as quantity in base year in,  | I. | Paasche's index number  | 
| B. | Weight is considered as quantity in current year in,  | II. | Fisher's index number  | 
| C. | The index number which is called as ideal index number is,  | III. | Marshall-Edgeworth's index number  | 
| D. | Weight is taken as the average of the base year quantity and current year quantity in  | IV. | Laspeyre's index number  | 
To determine the correct matches between List I and List II, let's analyze each statement:
Based on this analysis, the correct matches for the lists are as follows:
| A. | IV. | 
| B. | I. | 
| C. | II. | 
| D. | III. | 
The correct answer is: A-IV, B-I, C-II, D-III
Let the Mean and Variance of five observations $ x_i $, $ i = 1, 2, 3, 4, 5 $ be 5 and 10 respectively. If three observations are $ x_1 = 1, x_2 = 3, x_3 = a $ and $ x_4 = 7, x_5 = b $ with $ a>b $, then the Variance of the observations $ n + x_n $ for $ n = 1, 2, 3, 4, 5 $ is
Find the variance of the following frequency distribution:
| Class Interval | ||||
| 0--4 | 4--8 | 8--12 | 12--16 | |
| Frequency | 1 | 2 | 2 | 1 | 
Rearrange the following parts to form a meaningful and grammatically correct sentence: 
P. a healthy diet and regular exercise 
Q. are important habits 
R. that help maintain good physical and mental health 
S. especially in today's busy world