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Hi there! I am Studyfin, your math tutor, and today we will explore how people borrow money and use data to make smart financial plans.
When you borrow money to buy something now and pay for it later, you are using credit. This borrowed money becomes a loan, and the amount you owe is called debt.
Before borrowing, we must develop a plan and ask inquiry questions. For example, we can ask: 'What is the average interest rate?' and 'How will this debt affect my monthly budget?'
We can analyze loan options by summarizing data. We find the median by ordering the values from least to greatest to find the middle number, and the mean by dividing the sum of the values by the total count.
A student researches five different interest rates for student loans: 3%, 4%, 5%, 6%, and 12%. First, let us write two inquiry questions to guide our plan. Then, let us find the mean and the median of these interest rates to summarize our data.
- Step 1: Write two inquiry questions. Question A: 'How much extra money will we pay in total for each rate?' Question B: 'Which of these rates is closest to the typical market average?'
- Step 2: Develop a plan to analyze the data. We will list the rates, sort them in order, and calculate the mean and median to see if the 12% rate changes the average too much.
- Step 3: Find the median rate. The sorted rates are 3%, 4%, 5%, 6%, and 12%. The middle number in this list of five values is 5%.
- Step 4: Find the mean rate. First, add all the rates together: 3 + 4 + 5 + 6 + 12 = 30%.
- Step 5: Divide the sum by the number of rates. Divide 30% by 5 to get a mean of 6%.
