The mean of five observation x,x+2,+6 ,x+8 is 11 find the mean of first three observation
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given :
the mean of the first five observations - x, x+2, x+4, x+6, x+8 is 11 required to find out : the first three observations
solution :
x + x+2 + x+4 + x+6 + x+8 / 5 = 11
5x + 20 / 5 = 11
5x + 20 = 11*55
5x + 20 = 55
5x = 55 - 20
5x = 35
x = 35/5
∴ x = 7
the first three observations -
x = 7
x+2 = 7+2 = 9
x+4 = 7+4 = 11
∴ the first three observations are 7, 9, 11
the mean of the first three observations :
-> 7+9+11/3
->27/3
∴ 9 is the mean of the first threeobservations
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