Find the Mean Without Calculating: Numbers 33, 38, 49, 45, 40

Question

Without calculating, choose the average of the following group of numbers:

33,38,49,45,40 33,38,49,45,40

Video Solution

Solution Steps

00:00 Mark the appropriate average, without calculating
00:10 Place the numbers on the number line
00:27 The average should be approximately in the middle of the numbers
00:41 This option cannot be the average because it's too small
00:45 This number is also not suitable, too large
00:52 This number is not suitable, it's not in the middle
00:58 And this is the solution to the question

Step-by-Step Solution

To find the average of the numbers 33,38,49,45,4033, 38, 49, 45, 40 without calculating directly, we can roughly estimate it by identifying a central value.

Step 1: Arrange the numbers for clarity: 33,38,40,45,4933, 38, 40, 45, 49.

Step 2: Observe that these numbers range from 3333 to 4949, with 4040 being the middle value.

The numbers 38,40,4538, 40, 45 are tightly centered around 4040, suggesting that the average would be closer to 4040.

Step 3: Evaluate the closest given choices. The choice of 4141 aligns closely with our estimation, just slightly above 4040 due to the higher numbers 4545 and 4949. This suggests a slight increase around the middle.

Therefore, the approximate average of the numbers is 4141.

Answer

41