Find Number Groups with Average 7: Mean Value Selection

Question

Choose the group of numbers of which 7 is the average.

Video Solution

Solution Steps

00:00 Choose the group with an average of 7
00:03 To calculate the average, we'll sum and divide by the number of occurrences
00:08 We'll use the formula for calculating average to find the average
00:22 This is the average, now let's move to the next group
00:29 We'll use the formula for calculating average to find the average
00:46 This is the average, now let's move to the next group
00:52 We'll use the formula for calculating average to find the average
01:14 This is the average, now let's move to the next group
01:17 We'll use the formula for calculating average to find the average
01:23 This is the average
01:28 And this is the solution to the question

Step-by-Step Solution

To find the correct group of numbers with an average of 7, follow these steps:

Let's calculate the average for each group:

  • Group 1: 22,6,8,422, 6, 8, 4
    Calculate the sum: 22+6+8+4=4022 + 6 + 8 + 4 = 40
    There are 4 numbers, so the average: 404=10\frac{40}{4} = 10
  • Group 2: 6,19,6,4,06, 19, 6, 4, 0
    Calculate the sum: 6+19+6+4+0=356 + 19 + 6 + 4 + 0 = 35
    There are 5 numbers, so the average: 355=7\frac{35}{5} = 7
  • Group 3: 7,0,7,77, 0, 7, 7
    Calculate the sum: 7+0+7+7=217 + 0 + 7 + 7 = 21
    There are 4 numbers, so the average: 214=5.25\frac{21}{4} = 5.25
  • Group 4: 8,4,38, 4, 3
    Calculate the sum: 8+4+3=158 + 4 + 3 = 15
    There are 3 numbers, so the average: 153=5\frac{15}{3} = 5

From these calculations, Group 2 with 6,19,6,4,06, 19, 6, 4, 0 has an average of 7.

Therefore, the correct group of numbers is 6,19,6,4,06, 19, 6, 4, 0.

Answer

6,19,6,4,0 6,19,6,4,0