Calculate Average Sugar Content: Finding Mean Teaspoons Across 7 Products

Q: Why do I need to add all the numbers first?

The mean (average) represents the total amount shared equally among all items. You need the total sum to know how much sugar there is altogether before dividing it equally.

Q: How do I remember the mean formula?

Think of it as sharing equally: $ \text{Mean} = \frac{\text{Total Amount}}{\text{Number of People Sharing}} $. Just like dividing candy equally among friends!

Q: Can I use this same method for any average problem?

Yes! Whether it's test scores, temperatures, or prices - always add up all values and divide by how many values you have. The method never changes.

Mean Calculation with Seven Data Values

What is the average number of teaspoons of sugar in each product?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the average number of teaspoons of sugar in each product?

Step-by-step solution

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 $3$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Mean Formula: Sum of all values divided by count of values
Technique: Add 5+4+2+3+3+2+2=21, then divide by 7 products
Check: Multiply answer by count: 3×7=21 matches our sum ✓

Common Mistakes

Avoid these frequent errors

Forgetting to count all products when calculating the mean
Don't skip counting products or miss any data values = wrong denominator! This makes your average too high or too low. Always count every single item in your data set carefully before dividing.

Practice Quiz

Test your knowledge with interactive questions

Calculate the average of $$ 10 $$ and $$ 12 $$ .

FAQ

Everything you need to know about this question

Why do I need to add all the numbers first?

The mean (average) represents the total amount shared equally among all items. You need the total sum to know how much sugar there is altogether before dividing it equally.

What if I get a decimal answer instead of a whole number?

That's completely normal! Averages don't have to be whole numbers. For example, if the sum was 22 instead of 21, the average would be $\frac{22}{7} = 3.14...$

How do I remember the mean formula?

Think of it as sharing equally: $\text{Mean} = \frac{\text{Total Amount}}{\text{Number of People Sharing}}$ . Just like dividing candy equally among friends!

Can I use this same method for any average problem?

Yes! Whether it's test scores, temperatures, or prices - always add up all values and divide by how many values you have. The method never changes.

What if some products have the same sugar content?

Count them separately! Even if Fries and Popsicle both have 3 teaspoons, you still add 3 + 3 to your sum and count them as 2 different products.

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