Please confirm my answer for question 1 and help me with the other 3 with explan

Question

Please confirm my answer for question 1 and help me with the other 3 with explanation, thank you!

Suppose you analyzed the average monthly credit card bill of Visa credit card customers using two randomly selected samples: one with 150 Visa credit card customers (Sample #1) and one with 97 Visa credit card customers (Sample #2). Every credit card customer in Sample #1 had a monthly credit card bill of $1,837. Sample #2, on the other hand, had an average monthly credit card bill of $1,887 with a variance of 1,398,144 ()A2. If you combined these samples into one... Question 1 What would be the combined monthly credit card bill average(in dollars)? Question 2A What is the combined monthly credit card bill median (in dollars)? Question 2B what is the shape of the combined monthly creditard bill distribution (in dollars)? Question 3 What would be the combined monthly credit card bill standard deviation (in dollars)?

Explanation / Answer

1) average =(150*1837+97*1887)/(150+97)=1856.6356

2) as more than 50% data has value 1837 ; therefore it should fall at median ;hence median =1837

3) for sample 2 has values higher than 1837 ; therefore it is let skwed

4)

varaince =1398144*(97-1)/(150+97-1)=545617.1707

hence std deviation=(545617.1707)1/2 =738.6590

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