RadiumBall wrote:I saw these rules for Evenly spaced set in the MGMAT guide be it for even number of items or odd number of items
1) Mean and Median are the equal and is average of first and last term.
2) Sum of all elements is multiple of number of items.
I was wondering why does rule not apply to set such this {1, 2, 3, 4, 5 } ?
I thought even this is a evenly spaced set with even difference of 1.
Thanks
I received a PM asking me to comment. The rules stated above are correct.
Given a set of evenly spaced values:
1) Average = median.
2) Average = (biggest + smallest)/2.
3) Number of values = (biggest - smallest)/(distance between each successive pair) + 1.
3) Sum = number of values * average
Thus, the sum is a multiple of the number of values in the set.
The set {1,2,3,4,5} adheres to all the rules listed above:
Average = (1+2+3+4+5)/5 = 3. Median = 3. Thus, average = median.
Average = (biggest + smallest)/2 = (5+1)/2 = 3. Same answer as above.
Number of values = (biggest - smallest)/(distance between each successive pair) + 1 = (5-1)/1 + 1 = 5.
Sum = number of values * average = 5*3 = 15.
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