Type of Expense                                                               Cost Clothing 370.00 Credit card payments 730.00 Mortgage payment 1,920.00 Student loan payments 811.00 Vacation expenses 987.00 Car repair payment 193.00 Groceries 224.00 Use the table above to answer...

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Basic Math

Type ofExpense                                                               Cost

Clothing

370.00

Credit card payments

730.00

Mortgage payment

1,920.00

Student loan payments

811.00

Vacation expenses

987.00

Car repair payment

193.00

Groceries

224.00

Use the table above to answer the following questions.Show ALL of your work for full credit.

1. Calculate the mean, median, and mode cost of lastmonth’s expenses.

2. Calculate the range and interquartile range (IQR) oflast month’s expenses.

Remember, to find the IQR:

Step 1: Put the numbers in order.

Step 2: Find the median.

Step 3: Place parentheses around the numbers above and below themedian.
Step 4: Find Q1 and Q3

Step 5: Subtract Q1 from Q3 to find the interquartilerange.

3. Which of the expenses (if any) in the table above isan outlier? Why?

Remember, an outlier is defined as being any point of data thatlies over 1.5 IQRs below the first quartile (Q1) or above the thirdquartile (Q3) in a data set.

High = (Q3) + 1.5 IQR

Low = (Q1) – 1.5 IQR

4. Find the variance and standard deviation. How manystandard deviations is the cost of the mortgage payment from themean cost of all expenses.

5. Explain the difference between the mean and themedian. Also, indicate whether the data is skewed or not.Why?

I need help finding number 3 and 4! I believe the rangeis 1727 and the IQR is 441, but what is the outliers, variance andstandard deviation?

Answer & Explanation Solved by verified expert
3.6 Ratings (289 Votes)
Type of ExpenseCostClothing370Credit card payments730Mortgage payment1920Student loan payments811Vacation expenses987Car repair payment193Groceries224Total5235Mean747861 Total Expenses 5235Number of types of Expenses 7Therefore Mean Total ExpensesNumber of types of Expenses 5235774786For finding Median first arrange the data inascending or descending order asCost1932243707308119871920Here number of observation is 7 which is oddMedian will be in 712 term    See Answer
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