Examples with solutions for Averages for 5th Grade: Calculating the average of 2 terms

Exercise #1

Calculate the average of 1 1 and 5 5 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given numbers, which are 11 and 55.
  • Step 2: Apply the average formula a+b2\frac{a + b}{2}.
  • Step 3: Perform the necessary calculations.

Let's work through each step:

Step 1: The numbers we need to average are 11 and 55.

Step 2: We use the formula for the average of two numbers:

Average=a+b2 \text{Average} = \frac{a + b}{2}

where a=1a = 1 and b=5b = 5.

Step 3: Plug these values into the formula:

Average=1+52=62=3 \text{Average} = \frac{1 + 5}{2} = \frac{6}{2} = 3

Therefore, the average of 11 and 55 is 3\mathbf{3}.

Answer

3

Exercise #2

Calculate the average of 10 10 and 12 12 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: We are given the numbers 10 and 12.
Step 2: We'll use the formula for the average, which is Average=Sum of the termsNumber of terms \text{Average} = \frac{\text{Sum of the terms}}{\text{Number of terms}} .
Step 3: Calculate the sum of 10 and 12, which is 10+12=22 10 + 12 = 22 .
Divide this sum by the number of terms: 222=11 \frac{22}{2} = 11 .

Therefore, the average of 10 and 12 is 11 11 .

Answer

11

Exercise #3

Calculate the average of 6 6 and 6 6 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given numbers, which are both 6 6 .
  • Step 2: Use the formula to calculate the average, a+b2 \frac{a + b}{2} .
  • Step 3: Perform the arithmetic calculations to find the average.

Now, let's work through each step:

Step 1: We are given the numbers 6 6 and 6 6 .

Step 2: The formula for the average of two numbers is a+b2 \frac{a + b}{2} . We substitute a=6 a = 6 and b=6 b = 6 into this formula.

Step 3: Plugging in our values, we calculate:

Average=6+62=122=6 \text{Average} = \frac{6 + 6}{2} = \frac{12}{2} = 6

Therefore, the solution to the problem is 6 6 .

Answer

6

Exercise #4

Calculate the average of 8 8 and 0 0 .

Video Solution

Step-by-Step Solution

To solve this problem, we'll calculate the average of the two numbers provided, which are 8 and 0.

We approach this problem using the formula for the average of two numbers:

  • Average=a+b2 \text{Average} = \frac{a + b}{2}

where a=8a = 8 and b=0b = 0.

Let's perform the calculations:

  • Step 1: Add the two numbers: 8+0=88 + 0 = 8.
  • Step 2: Divide the sum by 2 to find the average: 82=4\frac{8}{2} = 4.

The average of 8 and 0 is 44.

Therefore, the correct answer to the problem is 4\textbf{4}, which corresponds to choice 3 in the provided answer choices.

Answer

4

Exercise #5

Calculate the average of 20 20 and 10 10 .

Video Solution

Step-by-Step Solution

To calculate the average of the numbers 20 and 10, we will follow these steps:

  • Step 1: Add the two numbers together. We have 20+10=30 20 + 10 = 30 .
  • Step 2: Divide the sum by the number of values, which is 2. So, we have 302=15 \frac{30}{2} = 15 .

Therefore, the average of 20 and 10 is 15 15 .

Answer

15

Exercise #6

Calculate the average of 11 11 and 7 7 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Add the two numbers.
  • Step 2: Divide the sum by 2 to find the average.

Now, let's work through each step:
Step 1: Add 11 and 7. This gives 11+7=18 11 + 7 = 18 .
Step 2: Divide the sum by 2. Thus, the average is 182=9 \frac{18}{2} = 9 .

Therefore, the solution to the problem is 9 9 .

Answer

9

Exercise #7

Calculate the average of 30 30 and 6 6 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Add the two numbers together, 30 and 6.
  • Step 2: Divide the result by 2 to find the average.

Let's perform these steps:
Step 1: Calculate the sum:
30+6=36 30 + 6 = 36
Step 2: Divide the sum by 2:
362=18 \frac{36}{2} = 18

Therefore, the average of 30 and 6 is 18 18 .

Answer

18

Exercise #8

What is the average of 2 2 and 6 6 ?

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given numbers, which are 22 and 66.
  • Step 2: Use the formula for the average: Average=Sum of termsNumber of terms\text{Average} = \frac{\text{Sum of terms}}{\text{Number of terms}}.
  • Step 3: Calculate the sum of the numbers: 2+6=82 + 6 = 8.
  • Step 4: There are two terms, so divide the sum by 2: 82=4\frac{8}{2} = 4.

Now, let's work through each step:
Step 1: The given numbers are 22 and 66.
Step 2: Using the average formula, we find that the average is the sum of the numbers divided by the number of numbers.
Step 3: Add the numbers: 2+6=82 + 6 = 8.
Step 4: Since there are 2 numbers, divide the sum by 2: 82=4\frac{8}{2} = 4.

Therefore, the answer to the problem is 44.

Answer

4