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Courtney wants to sell her grandfather's antique 1932 Ford. She begins to set her price by looking at ads and finds these prices: \(\$ 24,600, \$ 19,000, \$ 33,000, \$ 15,000,\) and \(20,000\) . What is the mean price?

Short Answer

Expert verified
The mean price of the antique 1932 Ford based on the provided prices is $22,320.

Step by step solution

01

Add all the prices

First, add all the prices together to get the total price. This can be formulated as \(24600 + 19000 + 33000 + 15000 + 20000 = 111600\)
02

Count the number of prices

Next, count the number of prices. In this case, there are five different prices.
03

Calculate the mean

Finally, divide the total sum by the number of prices to get the mean. This is formulated as \( \frac{111600}{5} = 22320\)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Mean (Average)
Understanding the mean—or average—of a set of numbers is a fundamental concept in data analysis and basic arithmetic. To calculate the mean price, you simply add up the prices of all items and then divide by the number of items. For example, if Courtney wants to determine the mean price of the varying costs of a 1932 Ford, she would add up all the listed prices — \(24,600, \)19,000, \(33,000, \)15,000, and \(20,000 — and then divide by the number of prices she collected, which is five. This calculation yields \)22,320, giving her a representative average price for the vehicle.
In daily life, calculating the mean can help you find the central tendency or 'typical' value in a set of numbers, which is useful in making informed decisions based on pricing and budgeting.
Data Analysis
Data analysis involves collecting, organizing, interpreting, and presenting data to discover underlying patterns and trends. In Courtney's quest to set a selling price for her grandfather's antique car, she utilizes basic data analysis methods by gathering prices from different ads. She then analyzes this data to determine a fair selling price. The analysis provides her with valuable insight and prevents her from setting a price too high, which could discourage potential buyers, or too low, which would not reflect the car's worth.
This simple form of data analysis is applicable in various aspects of finance and economics, where it is crucial to make informed choices. Understanding data trends helps individuals and businesses in planning, forecasting, and strategizing effectively.
Addition of Prices
The addition of prices is a straightforward arithmetic operation where the total sum of multiple costs is calculated. In the context of finding an average, as with Courtney's antique car, each price is added sequentially: \(24,600 + \)19,000 + \(33,000 + \)15,000 + $20,000. This sum represents the total cost if one were to buy one of each priced item.
While simple, the accurate addition of prices is critical in financial transactions to avoid errors that could lead to significant losses or gains. Retail, budgeting, or assessing the total cost of a project all rely heavily on the ability to perform accurate price additions.
Basic Arithmetic in Finance
Basic arithmetic, involving operations like addition, subtraction, multiplication, and division, is the cornerstone of finance. In our example, Courtney's use of addition to find the total sum of all car prices, and then division to calculate the mean, exhibits essential financial arithmetic.
These operations are used daily by individuals and professionals alike to manage budgets, assess investment returns, compute interest, and determine pricing strategies. Mastering these fundamental arithmetic skills is crucial for anyone looking to manage personal finances or work in financial sectors.

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