Examples with solutions for Averages for 5th Grade: Calculating the average of 4 terms

Exercise #1

Calculate the average of

10 10 , 10 10 , 10 10 , and 10 10 .

Video Solution

Step-by-Step Solution

To solve the problem of finding the average of the numbers 10,10,10,1010, 10, 10, 10, follow these steps:

  • Step 1: Calculate the sum of the numbers. Here, since the numbers are identical, the sum is 10+10+10+10=4010 + 10 + 10 + 10 = 40.
  • Step 2: Divide the total sum by the number of numbers, which is 4. Therefore, the average is 404=10\frac{40}{4} = 10.

Thus, the average of the numbers is 1010.

Answer

10

Exercise #2

Calculate the average of

2 2 , 6 6 , 8 8 , and 4 4 .

Video Solution

Step-by-Step Solution

To calculate the average of the numbers 2, 6, 8, and 4, we will follow these steps:

  • Step 1: Calculate the sum of the numbers.
  • The numbers given are 22, 66, 88, and 44. Therefore, we find the sum as follows:

    2+6+8+4=202 + 6 + 8 + 4 = 20.

  • Step 2: Count the number of numbers.
  • We have a total of 4 numbers.

  • Step 3: Calculate the average by dividing the sum by the count.
  • The average is calculated by dividing the total sum by the count of the numbers:

    Average=204=5 \text{Average} = \frac{20}{4} = 5 .

Thus, the average of the numbers 22, 66, 88, and 44 is 5\boxed{5}.

Answer

5

Exercise #3

Calculate the average of:

1,11,3, 1,11,3, and 1 1 .

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 number of numbers

Now, let's work through each step:
Step 1: Calculate the sum of the numbers:
1+11+3+1=161 + 11 + 3 + 1 = 16

Step 2: Divide the sum by the total number of numbers. There are 4 numbers, so we divide 16 by 4:
164=4\frac{16}{4} = 4

Therefore, the average of the numbers is 4\textbf{4}.

Answer

4

Exercise #4

Calculate the average

of 8,0,0, 8,0,0, and 0 0 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Add the numbers together to find the total sum.
  • Step 2: Count how many numbers there are.
  • Step 3: Divide the total sum by the count of numbers to find the average.

Now, let's work through each step:

Step 1: Add the numbers 88, 00, 00, and 00.

The sum is 8+0+0+0=88 + 0 + 0 + 0 = 8.

Step 2: Count the numbers. There are 4 numbers in total.

Step 3: Divide the sum by the number of numbers:
84=2\frac{8}{4} = 2.

Therefore, the average of 8, 0, 0, and 0 is 22.

Answer

2

Exercise #5

Calculate the average

of 7,9,12, 7,9,12, and 8 8 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Add the numbers given.
  • Step 2: Divide the sum by the number of terms.
  • Step 3: Verify the result against the given answer choices.

Let's work through each step:

Step 1: The problem provides the numbers 7,9,12, 7, 9, 12, and 8 8 .
Calculate the sum: 7+9+12+8=36 7 + 9 + 12 + 8 = 36 .

Step 2: There are four numbers. To find the average, divide the sum by the count of numbers:
Average=364=9\text{Average} = \frac{36}{4} = 9.

Therefore, the average of the numbers 7,9,12,8 7, 9, 12, 8 is 9 9 .

Answer

9

Exercise #6

Calculate the average

of 23,4,28, 23,4,28, and 1 1 .

Video Solution

Step-by-Step Solution

To solve this problem and calculate the average of the numbers 2323, 44, 2828, and 11, follow these steps:

  • Step 1: Calculate the sum of the numbers:
    23+4+28+1=5623 + 4 + 28 + 1 = 56
  • Step 2: Count the number of items in the set.
    There are 4 numbers: 23,4,28,23, 4, 28, and 11.
  • Step 3: Divide the sum by the count of numbers to find the average:
    564=14\frac{56}{4} = 14

Therefore, the average of the numbers is 1414.

Answer

14

Exercise #7

Calculate the average

of 30,1,2, 30,1,2, and 3 3 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Add up all the numbers given.
  • Step 2: Count the total number of numbers.
  • Step 3: Divide the sum by the total number to find the average.

Let's work through each step:

Step 1: Compute the sum of the numbers.

30+1+2+3=36 30 + 1 + 2 + 3 = 36

Step 2: Count the total number of numbers. Here, we have 4 numbers.

Step 3: Use the formula for the average:

Average=Sum of all numbersTotal number of numbers \text{Average} = \frac{\text{Sum of all numbers}}{\text{Total number of numbers}}

Average=364=9 \text{Average} = \frac{36}{4} = 9

Based on the calculation, the average of the numbers 30, 1, 2, and 3 is 9\mathbf{9}.

Thus, the correct answer is 9\mathbf{9}, which corresponds to choice id "1" in the answer choices.

Answer

9

Exercise #8

Calculate the average

of 10,35,25, 10,35,25, and 10 10 .

Video Solution

Step-by-Step Solution

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

  • Step 1: Sum the numbers 10, 35, 25, and 10.
  • Step 2: Divide the sum by the number of values, which is 4, to find the average.

Now, let's work through each step:
Step 1: Add the numbers together:
10+35+25+10=80 10 + 35 + 25 + 10 = 80 .
Step 2: Divide the sum by the number of values (4):
804=20 \frac{80}{4} = 20 .

Therefore, the average of 10, 35, 25, and 10 is 20 20 .

Answer

20