Averages for 5th Grade - Examples, Exercises and Solutions

Let's solve this problem step-by-step:

• Step 1: Count the balls.
  In the provided diagram, we need to count each ball shown to obtain the total number.
• Step 2: Determine the number of columns.
  The table's columns are evenly spaced, and there appears to be 4 columns depicted.
• Step 3: Calculate the number of balls per column.
  Divide the total number of balls by the number of columns.

Step 1: Count the balls.

There are 20 balls depicted in the diagram.

Step 2: Determine the number of columns.

There are 4 columns in the table based on the grid lines visible in the diagram.

Step 3: Perform the division.

The formula to find the number of balls per column is: $\frac{\text{total number of balls}}{\text{number of columns}} = \frac{20}{4} = 5$.

Thus, there will be 5 balls in each column.

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

• Step 1: Identify the number of balls.
• Step 2: Identify the number of columns.
• Step 3: Divide the total number of balls by the number of columns to ensure even distribution.

Now, let's work through each step:
Step 1: Count the total number of balls. Visually, there are 16 balls shown in the diagram.
Step 2: Count the number of columns in the grid. There are 4 columns shown.
Step 3: Apply the division formula: $\text{Balls per column} = \frac{16}{4} = 4$.

Therefore, if the balls are evenly distributed across the columns, each column will contain 4 balls.

To solve this problem, we'll proceed through these steps:

• Step 1: Count the total number of balls.
• Step 2: Count the number of columns in the table.
• Step 3: Divide the total number of balls by the number of columns.

Let's solve the problem:

Step 1: Count the total number of balls.
Upon examining the diagram, we see there are 10 balls represented.

Step 2: Count the number of columns.
From the diagram, there are 5 columns.

Step 3: Divide the total number of balls by the number of columns to find the exact number per column:
$\text{Number of balls per column} = \frac{10}{5} = 2$

Thus, the solution to the problem is that each column will contain 2 balls.

This solution matches the correct answer provided in the question's answer choices.

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

• Step 1: Count the total number of balls from the visual.
• Step 2: Determine the number of columns that the balls need to be distributed among.
• Step 3: Divide the total number of balls by the number of columns to find how many each column will contain.

Now, let's work through each step:

Step 1: From the visual, we count that there are 24 balls in total.

Step 2: The number of columns in the grid is 4.

Step 3: Using the formula $\text{Number of balls per column} = \frac{\text{Total number of balls}}{\text{Number of columns}}$, we calculate:

$\text{Number of balls per column} = \frac{24}{4} = 6$

Therefore, each column will contain 6 balls.

Let's work through these steps:
Step 1: Count the balls. We have a total of 12 balls displayed in the image.
Step 2: Count the columns. There are 4 columns shown in the SVG.
Step 3: Divide the total number of balls (12) by the number of columns (4).

Performing the division yields: $\frac{12}{4} = 3$

Therefore, each column will contain 3 balls.

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

• Step 1: Identify the given numbers, which are $1$ and $5$.
• Step 2: Apply the average formula $\frac{a + b}{2}$.
• Step 3: Perform the necessary calculations.

Let's work through each step:

Step 1: The numbers we need to average are $1$ and $5$.

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

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

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

Step 3: Plug these values into the formula:

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

Therefore, the average of $1$ and $5$ is $\mathbf{3}$.

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 $\text{Average} = \frac{\text{Sum of the terms}}{\text{Number of terms}}$.
Step 3: Calculate the sum of 10 and 12, which is $10 + 12 = 22$.
Divide this sum by the number of terms: $\frac{22}{2} = 11$.

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

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

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

Now, let's work through each step:

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

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

Step 3: Plugging in our values, we calculate:

$\text{Average} = \frac{6 + 6}{2} = \frac{12}{2} = 6$

Therefore, the solution to the problem is $6$.

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:

• $\text{Average} = \frac{a + b}{2}$

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

Let's perform the calculations:

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

The average of 8 and 0 is $4$.

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

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

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

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

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 $11 + 7 = 18$.
Step 2: Divide the sum by 2. Thus, the average is $\frac{18}{2} = 9$.

Therefore, the solution to the problem is $9$.

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:
$30 + 6 = 36$
Step 2: Divide the sum by 2:
$\frac{36}{2} = 18$

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

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: $9$, $4$, and $8$. Our task is to find their average.

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

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

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

So, the sum of the numbers is $21$.

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

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

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

Therefore, the solution to the problem is $7$.

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:
  $10 + 15 + 5 = 30$.
• 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: $\text{Average} = \frac{\text{Sum of numbers}}{\text{Number of terms}}$.
  Plug in the sum and the number of terms:
  $\text{Average} = \frac{30}{3} = 10$.

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

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 $20$, $0$, and $7$:

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

Therefore, the average of 20, 0, and 7 is $9$.