rakeshd347 wrote:
Hi Mate,
Is there any rule which says if the Mean=max value then all the numbers are same or just testing value will do the job in this case.
There is no rule as such but the statement is easy to visualize if you break it down into simple steps:
1)
receives orders for its products every day --> Ok. So atleast we have some number of orders everyday for a period of 5 days
2) mean value is usually below the maximum value, but wait here I see that mean is actually equal to the max and also the number of days are not just one! so all the values have to be that last value. (the orders have to be +ive integers so (x+x+x+x+x)/5 = x)
If you want to consider pure algebra:
Let the orders in increasing order be a, b, c, d, MAX
(note that a
< b
< c
< d
< MAX)
(Sum of all the orders) = 5 * MAX
Now the only way the sum of the 5 numbers could be equal to five times the MAX number is that they all are MAX.
ie a = b = c = d = MAX
