Calculate Average: Compare {4,5,10,5,1,5} vs {4,5,10,5,1}

Question

Calculate the average of each group and choose the appropriate sign (?):

4,5,10,5,1,5=?4,5,10,5,1 4,5,10,5,1,5\stackrel{?}{=}4,5,10,5,1

Video Solution

Step-by-Step Solution

To solve this problem, let's calculate the average for each group of numbers:

  • Step 1: Calculate the average of the first group 4,5,10,5,1,54, 5, 10, 5, 1, 5:
    • Sum of numbers: 4+5+10+5+1+5=304 + 5 + 10 + 5 + 1 + 5 = 30
    • Number of elements: 66
    • Average: 306=5\frac{30}{6} = 5
  • Step 2: Calculate the average of the second group 4,5,10,5,14, 5, 10, 5, 1:
    • Sum of numbers: 4+5+10+5+1=254 + 5 + 10 + 5 + 1 = 25
    • Number of elements: 55
    • Average: 255=5\frac{25}{5} = 5

Both groups have an average of 55, so the correct sign to place between them is =.

Answer

=