Examples with solutions for Averages for 5th Grade: The meaning of average

Exercise #1

If the balls below are divided so that each column in the table contains an equal number, then how many balls will there be in each column?

Video Solution

Step-by-Step Solution

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: total number of ballsnumber of columns=204=5\frac{\text{total number of balls}}{\text{number of columns}} = \frac{20}{4} = 5.

Thus, there will be 5 balls in each column.

Answer

5

Exercise #2

If the balls below are divided so that each column in the table contains an equal number, then how many balls will each column contain?

Video Solution

Step-by-Step Solution

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: Balls per column=164=4 \text{Balls per column} = \frac{16}{4} = 4 .

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

Answer

4

Exercise #3

If the balls below are divided so that each column in the table contains an equal number, then how many balls will each column contain?

Video Solution

Step-by-Step Solution

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:
Number of balls per column=105=2 \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.

Answer

2

Exercise #4

If the balls below are divided so that each column in the table contains an equal number, then how many balls will each column contain?

Video Solution

Step-by-Step Solution

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 Number of balls per column=Total number of ballsNumber of columns\text{Number of balls per column} = \frac{\text{Total number of balls}}{\text{Number of columns}}, we calculate:

Number of balls per column=244=6\text{Number of balls per column} = \frac{24}{4} = 6

Therefore, each column will contain 6 balls.

Answer

6

Exercise #5

If the balls below are divided so that each column in the table contains an equal number, then how many balls will each column contain?

Video Solution

Step-by-Step Solution

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: 124=3 \frac{12}{4} = 3

Therefore, each column will contain 3 balls.

Answer

3