Find Number Groups with Average of 10: Selection Challenge

Question

Choose the group of numbers of which 10 is the average.

Video Solution

Solution Steps

00:00 Choose the group with an average of 10
00:03 To calculate the average, we'll sum and divide by the number of occurrences
00:18 This is the average, now let's move to the next group
00:23 We'll use the formula for calculating average to find the mean
00:33 This is the average, now let's move to the next group
00:37 We'll use the formula for calculating average to find the mean
00:45 This is the average, now let's move to the next group
00:50 We'll use the formula for calculating average to find the mean
01:00 This is the average
01:04 And this is the solution to the question

Step-by-Step Solution

To solve the problem of determining which group of numbers has an average of 10, we will evaluate each provided choice:

  • Choice 1: 10,12,11 10, 12, 11
    Sum = 10+12+11=33 10 + 12 + 11 = 33
    Number of elements = 3
    Average = 333=11 \frac{33}{3} = 11
  • Choice 2: 8,10 8, 10
    Sum = 8+10=18 8 + 10 = 18
    Number of elements = 2
    Average = 182=9 \frac{18}{2} = 9
  • Choice 3: 10,0 10, 0
    Sum = 10+0=10 10 + 0 = 10
    Number of elements = 2
    Average = 102=5 \frac{10}{2} = 5
  • Choice 4: 40,0,0,0 40, 0, 0, 0
    Sum = 40+0+0+0=40 40 + 0 + 0 + 0 = 40
    Number of elements = 4
    Average = 404=10 \frac{40}{4} = 10

After evaluating all the choices, we find that Choice 4: 40,0,0,0 40, 0, 0, 0 achieves an average of 10.

Therefore, the solution to the problem is 40,0,0,0 40, 0, 0, 0 .

Answer

40,0,0,0 40,0,0,0