To find the sum of the given set of numbers:

$36 + 37 + 37 + 38 + 38 + 39 + 40 + 40 + 40 + 40 + 40 + 40 + 41 + 41 + 41 + 42 + 42 + 42 + 43 + 43 + 43 + 44 + 44 + 45 + 45 + 45 + 46 + 46 + 46 + 47 + 48 + 48 + 48$

Let's add them step by step:

$36 + 37 = 73$ $73 + 37 = 110$ $110 + 38 = 148$ $148 + 38 = 186$ $186 + 39 = 225$ $225 + 40 = 265$ $265 + 40 = 305$ $305 + 40 = 345$ $345 + 40 = 385$ $385 + 40 = 425$ $425 + 40 = 465$ $465 + 41 = 506$ $506 + 41 = 547$ $547 + 41 = 588$ $588 + 42 = 630$ $630 + 42 = 672$ $672 + 42 = 714$ $714 + 43 = 757$ $757 + 43 = 800$ $800 + 43 = 843$ $843 + 44 = 887$ $887 + 44 = 931$ $931 + 45 = 976$ $976 + 45 = 1021$ $1021 + 45 = 1066$ $1066 + 46 = 1112$ $1112 + 46 = 1158$ $1158 + 46 = 1204$ $1204 + 47 = 1251$ $1251 + 48 = 1299$ $1299 + 48 = 1347$ $1347 + 48 = 1395$

Thus, the sum of the numbers is 1,395.

Would you like to go over any part of the calculation in more detail?

Here are some related questions to explore:

1. How to calculate the mean (average) of this set?
2. What is the median of the set of numbers?
3. What is the range of this data set?
4. How do we calculate the standard deviation for this set of numbers?
5. What would happen if the number 40 was added one more time?

Tip: For large sets of numbers, grouping them in pairs or sets that make it easier to add (like grouping numbers that add to 100 or another round number) can simplify the process!