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 Answer all the given questions below:

1. Three numbers, whose sum is 12, are in AP. If 1,2 and 6 are added to them, the resulting g numbers are in GP. Find the numbers 

2. Average rainfall on a city from Monday to Saturday is 0.3 inch. Due to heavy rainfall on Sunday, the average rainfall for the week increased to 0.5 inch. What was the rainfall on Sunday?  

3.  Calculate median from the following data

Marks 10-25 25-40 40-55 50-70 70-85 85-100 Frequency 6 20 44 26 3 1 

4. In a sample of 500 people from a village in rajasthan, 280 are found to be rice eaters and rest wheat eaters. Can we assume that both the food articles are equally popular?  

5. In a binomial distribution 31% of the items are under 45 and 8% are over 64. Find the mean and variance of the distribution 

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