The mean of five observation is 17. If the mean of first three observation is 15 and the last three is 18. Find the third observation.
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OpenStudy (anonymous):
See,
Sum of Observation = Mean*Number of Observation..
OpenStudy (anonymous):
i did'nt understand the question!
please can u explain.
OpenStudy (anonymous):
Sum of 5 observation = 17*5 = 85
first(2) + x = 15*3 = 45 (x is the third observation) ---------1
x + next(2) = 18*3 = 54 -------------2
Now add both the equations and subtract x:
(first(2) + x) + (x + next(2)) - x = 85
45 + 5 4 - x = 85
99 - x = 85
x = 14
So, the third observation is 14...
OpenStudy (anonymous):
are u sure?
OpenStudy (anonymous):
Yes why not.
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OpenStudy (anonymous):
thank you:)
OpenStudy (anonymous):
there is one more to solve, can u help?
OpenStudy (anonymous):
Yes sure..
OpenStudy (anonymous):
The mean of ten observations is found to be 10. Later on, it was found that the observation 21was misread as 12. Find the correct mean.
OpenStudy (anonymous):
See first find the sum of observation..
You have 10 observation and mean = 10
use the above formula..
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OpenStudy (anonymous):
sum of observation is 100.
OpenStudy (anonymous):
In sum there is one term that is 12 and if we want to make it 21 so what number i will add to 12 to get 21?
OpenStudy (anonymous):
9
OpenStudy (anonymous):
after that?
OpenStudy (anonymous):
hey! please help me!!!!!!
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OpenStudy (anonymous):
Yes add 9 to the sum of observation..
OpenStudy (anonymous):
109
OpenStudy (anonymous):
109-100=9 like that??
OpenStudy (anonymous):
109 is the right one..
OpenStudy (anonymous):
answer =109
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OpenStudy (anonymous):
yaa?
OpenStudy (anonymous):
now divide it by 10 to get the mean..
OpenStudy (anonymous):
10.9
OpenStudy (anonymous):
is it?
OpenStudy (anonymous):
Yes this is it..
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