The range of five numbers is 10, the mean is 13.6, the median is 14,
and there is no mode. Find a possible data set.

8 13 14 15 18.

Step-by-step explanation:

The median (the middle number) is 14 so we have

x x 14 x x       where x is a single number with each number being different (as there is no mode).

The mean is 13.6 so we have the total numbers

= 13.6 * 5 = 68.

The  4 numbers left must total 68-14 = 54 and the difference between the highest and lowest is 10.

I sense that the lowest and highest will add up to  about 1/2 of 54 so:

Try 8 and 18 for these last 2 numbers

The list would be 8 x 14 x 18.

The 2 numbers left will add up to 54 - 26 = 28 . One of these must be < 14 and the other > 14.  13 and 15 would fit.

So a possible data set  is:

8 13 14 15 18.

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.

the answer is d=3.09