|
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?