The products from a factory are sold in three price ranges. These are shown in the attached table.

Becky wants to estimate at what price the factory sold its products on average last month.

Her data is not complete. She knows the company sold 183 products last month, and she knows that 37 were classic products, 104 were regular products, and 42 were premium products.

Fill out the mean-frequency table to calculate the average price of a product sold by the factory last month.

In order to fill out the mean-frequency table and calculate the average price of a product sold by the factory last month, we need the following steps:

1. **Identify the price ranges for each product category**: We need the price ranges for classic, regular, and premium products, which is normally provided in the table.
2. **Assign a mid-point price to each range**: The mid-point price (also called the class mark) represents the average price in each range. If the price ranges are given, the mid-point is the average of the lower and upper bounds of each range. This value will be used for further calculations.
3. **Create a frequency table**: For each product type (classic, regular, and premium), use the corresponding frequency of sales (37 for classic, 104 for regular, and 42 for premium).
4. **Calculate the total sales for each product type**: Multiply the mid-point of each price range by the frequency of sales for that category.
5. **Calculate the overall average price**: The average price is given by the formula:

\[
\text{Average Price} = \frac{\sum (\text{Mid-point Price} \times \text{Frequency})}{\text{Total Number of Products Sold}}
\]

Let's break this down step by step. Could you provide the price ranges for the classic, regular, and premium products? With that information, we can proceed to complete the table and find the average price.

Would you like to proceed with this?

Becky wants to estimate at what price the factory sold its products on average last month. She knows the company sold 183 products last month, with 37 classic products, 104 regular products, and 42 premium products. The price ranges for these products are shown in the attached table. Fill out the mean-frequency table to calculate the average price of a product sold by the factory last month.

Learn how to calculate the average price of products sold by a factory using a frequency table. This problem involves finding the mid-point of price ranges for different product types (classic, regular, and premium), calculating total sales for each category, and determining the overall average price. Suitable for students in Grades 9-11.

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