Examples with solutions for Averages for 5th Grade: Calculating the average of 3 terms

Exercise #1

Calculate the average of 9 9 , 4 4 , and 8 8 .

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given numbers and set up the problem.
  • Step 2: Calculate the sum of the numbers.
  • Step 3: Divide the sum by the total count of numbers to find the average.

Now, let's work through each step:

Step 1: We have three numbers: 9 9 , 4 4 , and 8 8 . Our task is to find their average.

Step 2: Calculate the sum of these numbers:
9+4+8 9 + 4 + 8

First, add 9 9 and 4 4 :
9+4=13 9 + 4 = 13

Next, add 13 13 to 8 8 :
13+8=21 13 + 8 = 21

So, the sum of the numbers is 21 21 .

Step 3: Divide the sum by the number of numbers to find the average:
Average=213 \text{Average} = \frac{21}{3}

Calculating the division:
21÷3=7 21 \div 3 = 7

Thus, the average of the numbers 9 9 , 4 4 , and 8 8 is 7 7 .

Therefore, the solution to the problem is 7 7 .

Answer

7

Exercise #2

Calculate the average

of 10 10 , 15 15 , and 5 5 .

Video Solution

Step-by-Step Solution

To solve this problem of finding the average of three numbers, follow these steps:

  • Step 1: Find the sum of the numbers.
    We have the numbers 10, 15, and 5. First, calculate the sum:
    10+15+5=30 10 + 15 + 5 = 30 .
  • Step 2: Determine the number of terms.
    There are three numbers, so the number of terms is 3.
  • Step 3: Calculate the average.
    Use the formula for average: Average=Sum of numbersNumber of terms \text{Average} = \frac{\text{Sum of numbers}}{\text{Number of terms}} .
    Plug in the sum and the number of terms:
    Average=303=10 \text{Average} = \frac{30}{3} = 10 .

Therefore, the average of the numbers 10, 15, and 5 is \textbf{\( 10 }\).

Answer

10

Exercise #3

Calculate the average

of 20 20 , 0 0 , and 7 7 .

Video Solution

Step-by-Step Solution

The average of a set of numbers is found by dividing the sum of the numbers by how many numbers there are.

Let's find the average of the numbers 2020, 00, and 77:

  • Step 1: Calculate the sum of the numbers:
    20+0+7=2720 + 0 + 7 = 27.
  • Step 2: Count how many numbers there are. Here, we have 3 numbers.
  • Step 3: Apply the average formula:
    Average=273\text{Average} = \frac{27}{3}.
  • Step 4: Divide the sum by 3:
    273=9 \frac{27}{3} = 9.

Therefore, the average of 20, 0, and 7 is 99.

Answer

9

Exercise #4

Calculate the average

of 11 11 , 11 11 , and 11 11 .

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Sum the numbers.
  • Step 2: Divide the sum by the total number of numbers.

Now, let's calculate:
Step 1: Add the numbers: 11+11+11=33 11 + 11 + 11 = 33 .
Step 2: Divide the sum by 3 (since there are three numbers): 333=11\frac{33}{3} = 11.

Therefore, the average of 11 11 , 11 11 , and 11 11 is 11.

Answer

11

Exercise #5

Calculate the average

of 17 17 , 4 4 , and 12 12 .

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the sum of the given numbers.
  • Step 2: Determine how many numbers are in the set.
  • Step 3: Use the average formula to find the solution.

Now, let's work through each step:
Step 1: Add the numbers together:
17+4+12=33 17 + 4 + 12 = 33 .
Step 2: Count the numbers: There are 3 numbers.
Step 3: Calculate the average using the formula:
Average=333=11 \text{Average} = \frac{33}{3} = 11

Therefore, the average of the numbers 17, 4, and 12 is 11 11 .

Answer

11

Exercise #6

Calculate the average

of 15 15 , 0 0 , and 0 0 .

Video Solution

Step-by-Step Solution

To solve this problem, we'll calculate the average of the given numbers 15 15 , 0 0 , and 0 0 .

  • Step 1: Find the sum of the numbers.
    15+0+0=15\quad 15 + 0 + 0 = 15
  • Step 2: Count the number of terms.
    \quad There are 3 terms in total: 15 15 , 0 0 , and 0 0 .
  • Step 3: Calculate the average using the formula:
    Average=Sum of termsNumber of terms=153\quad \text{Average} = \frac{\text{Sum of terms}}{\text{Number of terms}} = \frac{15}{3}
  • Step 4: Perform the division.
    153=5\quad \frac{15}{3} = 5

Therefore, the calculated average is 5 5 .

Our calculated average 5 5 corresponds with the correct answer choice.

Answer

5

Exercise #7

Calculate the average

of 10 10 , 5 5 , and 15 15 .

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given numbers: 10, 5, and 15.
  • Step 2: Apply the formula for the average.
  • Step 3: Perform the calculation to find the average.

Now, let's work through each step:

Step 1: We have three numbers to consider: 10 10 , 5 5 , and 15 15 .

Step 2: To find the average, we use the formula:

Average=Sum of the numbersNumber of numbers \text{Average} = \frac{\text{Sum of the numbers}}{\text{Number of numbers}}

Step 3: Calculate the sum of the numbers:

10+5+15=30 10 + 5 + 15 = 30

Step 4: Divide the sum by the number of numbers:

The number of numbers is 3, so:

Average=303=10 \text{Average} = \frac{30}{3} = 10

Therefore, the average of 10, 5, and 15 is 10 10 .

Answer

10

Exercise #8

Calculate the average

of 1 1 , 2 2 , and 33 33 .

Video Solution

Step-by-Step Solution

To solve this problem, we will calculate the average of the numbers 1, 2, and 33 using the arithmetic mean formula.

The steps to find the average are as follows:

  • Step 1: Calculate the sum of the numbers: 1+2+33=36 1 + 2 + 33 = 36 .
  • Step 2: Count the number of terms: There are 3 terms.
  • Step 3: Find the average by dividing the sum by the number of terms: 363=12\frac{36}{3} = 12.

Therefore, the average of the numbers 1, 2, and 33 is 12 12 .

This corresponds to choice 4 in the provided options.

Thus, the solution to the problem is 12 12 .

Answer

12