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average of new sequence

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by The Iceman » Sat Feb 09, 2013 12:07 pm
Even multiples of 5 are basically multiples of 10. So, these numbers are 20,30,40,...100

The new sequence has the following numbers: 60,90,120...300

Since these numbers are evenly spaced, average of these numbers = (60+300)/2 = 180
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by lunarpower » Wed Feb 13, 2013 9:27 am
that works.

since you're multiplying everything by 3, you can just find the average of the original (smaller) set and then track what happens to that quantity.
everything is evenly spaced, so the average of the set 20, 30, 40, ..., 100 is the middle number, which is 60. (if you have trouble seeing that this is the middle number, just write out all the numbers; it takes less than 10 seconds.)

so, the new average will be 3 times that middle number, or 180.
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