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Question

If the mean of 5 observations x,x+2,x+4,x+6 and x+8 is 11, find the value of x.


Solution

The given observations are x,  x + 2, x + 4, x + 6 and x + 8.

m e a n space o f space t h e space g i v e n space o b s r e v a t i o n equals fraction numerator s u m space o f space g i v e n space o b s e r v a t i o n s over denominator 5 end fraction equals fraction numerator x plus open parentheses x plus 2 close parentheses plus open parentheses x plus 4 close parentheses plus open parentheses x plus 6 close parentheses plus open parentheses x plus 8 close parentheses over denominator 5 end fraction equals 11 5 x plus 20 equals 55 5 x equals 55 minus 20 equals 35 x equals 7

Mathematics
Secondary School Mathematics X
Standard X

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