Question

Please give a full solution

An independent research was made asking 500 people about their bank deposits. Using the data in the table, calculate the deposit sample mean and deposit sample standard deviation, Amount of deposit, (x) 1000 3000 3500 7000 15000 Number of depositors (n) 96 107 130 89 78

Answer 1

Values ( X )	Frequency(f)	∑ fx	( X^2)	∑ f x^2
1000	96	96000.0	1000000	96000000
3000	107	321000.0	9000000	963000000
3500	130	455000.0	12250000	1592500000
7000	89	623000.0	49000000	4361000000
15000	78	1170000.0	225000000	17550000000

∑ f=   500  
∑ fx =   2665000  
mean = ∑ fx / ∑ f =   5330  
mean square =∑ f x^2 / ∑ f =   49125000  
variance = (mean square) - (mean)^2      
variance = ∑ f x^2 - mean^2 =   20716100  
stadard dev= √ var =   4551.494  
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mean = 5330
standard deviation = 4551.494