16. If the mean of the observations: x + 1, x +4, x + 5, x+8, x + 11 is 10, the mean of
the last three observations is
(A) 12.5
(B) 12.2
(C) 13.5
(D) 14.2
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Answers
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Step-by-step explanation:
First we must find the value of x
therefore,
((x+1)+(x+4)+(x+5)+(x+8)+(x+11))/5=10
=((x+x+x+x+x) +(1+4+5+8+11))/5=10
=(5x+29)/5 =10
=5x+29 =5*10
=5x =50-29
=5x =21
=x =21/5
=x =4.2
Now we must find the last three terms, i.e.,
x+5 , x+8 & x+11
x+5
=4.2+5
=9.2
x+8
=4.2+8
=12.2
x+11
=4.2+11
=15.2
Now find the mean (average)
=(9.2+12.2+15.2)/3
=36.6/3
=12.2
Here is the answer
(B) 12.2
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