Averages for 5th Grade - Examples, Exercises and Solutions

To solve this problem, we'll calculate the average number of toys in Jonathan's toy boxes using the following steps:

• Step 1: Identify the total number of toys. Add up the quantities of toys from each box.
• Step 2: Calculate the average by dividing the total number of toys by the number of boxes.

Let's perform the calculations:

Step 1: The number of toys in Box 1 is 3, in Box 2 is 7, and in Box 3 is 2. Therefore, the total number of toys is:

$3 + 7 + 2 = 12$

Step 2: There are 3 toy boxes. We calculate the average number of toys per box by dividing the total number of toys (12) by the number of boxes (3):

$\text{Average} = \frac{12}{3} = 4$

Therefore, the average number of toys in each box is $4$.

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

• Step 1: Calculate the total number of goals scored.
• Step 2: Count the total number of matches played.
• Step 3: Use the formula for average to find the average number of goals scored per match.

Now, let's work through each step:

Step 1: Calculate the total number of goals scored.
The goals scored in each match are: $4$, $0$, $5$, $6$, and $2$.
The total number of goals scored is $4 + 0 + 5 + 6 + 2 = 17$.

Step 2: Count the total number of matches played.
There are 5 matches in total.

Step 3: Use the formula for average.
The average number of goals per match is given by:

$\text{Average} = \frac{\text{Total number of goals}}{\text{Number of matches}} = \frac{17}{5}$

Calculating the division:

$\frac{17}{5} = 3.4 = 3\frac{2}{5}$

Therefore, the average number of goals scored per match is $3\frac{2}{5}$.

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

• Step 1: Identify the number of marbles each child has from the table.
• Step 2: Calculate the total number of marbles by adding all the individual counts.
• Step 3: Determine the number of children in the group.
• Step 4: Use the average formula to compute the average number of marbles per child.

Now, let's work through each step:

Step 1: Identify the number of marbles each child has.
From the table, we have the following information:
Ben has 2 marbles.
Sarah has 7 marbles.
Fatima has 6 marbles.
Vladimir has 1 marble.

Step 2: Calculate the total number of marbles.
Total marbles = $2 + 7 + 6 + 1 = 16$

Step 3: Determine the number of children.
There are 4 children: Ben, Sarah, Fatima, and Vladimir.

Step 4: Use the average formula.
The average number of marbles per child is given by:
$\text{Average} = \frac{16}{4} = 4$

Therefore, the average number of marbles per child is $4$.

To find the average number of teaspoons of sugar per product, we follow these steps:

• List the sugar content for each product: Coke Can (5), Chocolate (4), Gum (2), Popsicle (3), Fries (3), Bread Slice (2), Berry (2).
• Sum the sugar content: $5 + 4 + 2 + 3 + 3 + 2 + 2 = 21$.
• Count the number of products: There are 7 products.
• Calculate the average using the formula $\text{Average} = \frac{\sum \text{values}}{\text{number of values}}$.
• Substitute the values into the formula: $\text{Average} = \frac{21}{7} = 3$.

Therefore, the average number of teaspoons of sugar in each product is $3$.