alexpavlos wrote:

Thanks a lot for the quick reply Rajat!

In order for case 1 to be true the numbers must be consecutive or evenly spaced

and likewise case 2 holds ie consecutive numbers (or evenly spaced sets) will always have a mean + to the median.

Please let me know if this reasoning is correct

thanks again for the quick reply!

Alex

Ok, look at this: 3, 5, 7, 9, 11

Mean = 7

Median = 7

I change the numbers a bit: 3, 4, 7, 10, 11 (Numbers are not evenly spaced now.)

Still,

Mean = 7

Median = 7

Since mean depends on the overall sum of the numbers and median is just the middle number, there are very few constraints and how the numbers should be spaced for mean = median.

Non evenly spaced numbers can also have mean = median.

All evenly spaced numbers must have mean = median because here, mean is the middle number and median, by definition, is already the middle number.

Thank you guys it is clear now. Thanks a lot!!!