Variability — Cumulative exam Answers

The histogram below shows the number of properties in a town that sold within certain time periods. Why might the graph be considered misleading?

The box plots below show the ages of college students in different math courses. Math 1 Math 2Which statement is true?

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

Viola has to relocate for her job. She finds a townhome with an option to rent or buy. The conditions of each are shown below. Rent: Move-in costs of $2,380 and monthly payment of $845. Buy: Move-in costs of $5,260 and monthly payment of $785. Viola moves frequently due to her job, but she thinks that she will stay in the area for 4 years. Therefore, she decided to buy. Choose the best evaluation of Viola’s decision.

In the following situation, determine whether you are asked to determine the number of permutations or combinations. Then do the calculation. How many ways are there to pick a starting five from a basketball team of twelve members?

In a year-long music course, you are required to attend 12 concerts. Last season, the lengths of the concerts were 92, 101, 98, 112, 80, 119, 92, 90, 116, 106, 78, and 65 minutes. Find the five-number summary for the data. Which boxplot would best represent the data? a. b. c. d. Please select the best answer from the choices provided

What is the theoretical probability of the event that a family with two children has two boys? Make a tree diagram to help solve the problem. a. b. c. d. Please select the best answer from the choices provided

Suzanne has purchased a car with a list price of $23,860. She traded in her previous car, which was a Dodge in good condition, and financed the rest of the cost for five years at a rate of 11.62%, compounded monthly. The dealer gave her 85% of the listed trade-in price for her car. She was also responsible for 8.11% sales tax, a $1,695 vehicle registration fee, and a $228 documentation fee. If Suzanne makes a monthly payment of $455.96, which of the following was her original car?Dodge Cars in Good ConditionModel/Year20042005200620072008Viper$7,068$7,225$7,626$7,901$8,116Neon$6,591$6,777$6,822$7,191$7,440Intrepid$8,285$8,579$8,699$9,030$9,121Dakota$7,578$7,763$7,945$8,313$8,581

Which of the following would be a good argument to buy rather than lease?

Jim wants to start investing in bonds. He checks with two brokers to ask them for suggestions of bonds to buy. Broker J, who charges a commission of 3.6% of the market value of all bonds sold, recommends for Jim to buy three par value $500 bonds from the city of Danville, a par value $1,000 bond from Raxin Accounting, and two par value $1,000 bonds from United Rotators. Danville bonds are selling at 114.212, Raxin Accounting bonds are selling at 79.941, and United Rotators bonds are selling at 102.844. Broker K, who charges a fee of $28 for each bond sold, recommends that Jim buy five par value $500 bonds from Fort Bend County, a par value $1,000 bond from the U.S. Treasury, and two par value $500 bonds from Iwad Records. Fort Bend bonds are selling at 91.090, Treasury bonds are selling at 101.163, and Iwad Records bonds are selling at 107.252. Based on the current information, which broker’s bond package will cost Jim less money up front, and how much less will it cost him?

The table below shows the population and the number of representatives in Congress for the selected states. State CA NY TX FL NC IN AL Population (in millions) 29.8 18.0 17.0 12.9 6.6 5.5 4.0 Representatives 52 31 30 23 12 10 7 If you were to make a scatter plot of the data, you would be able to determine the line of best fit. Using the regression equation , predict the number of representatives for Oregon, which has a population of about 3.3 million.

Which survey is most likely affected by bias?

Susie is thinking about changing her auto insurance policy at Fret-No-More Auto Insurance. Her current policy includes the following options: $50/100,000 limit for bodily injury, $25,000 limit for property damage, $250 deductible for collision, and $50 deductible for comprehensive. Which of the following changes would increase Susie’s limits the most without increasing her monthly premium by more than $5.00? Fret-No-More Auto Insurance Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $25/50,000 $21.35 $50/100,000 $32.78 $100/300,000 $42.10 Property Damage $25,000 $115.50 $50,000 $142.44 $100,000 $193.78 Collision $100 deductible $490.25 $250 deductible $343.33 $500 deductible $248.08 Comprehensive $50 deductible $105.79 $100 deductible $88.23

Mika wants to buy a condominium. He has the choice of buying it now or renting it with the option to buy at the end of 3 years. If he buys now, he could put $0 down, but he must pay closing costs of $7,100. His monthly mortgage payment will be $675. Mika decides to rent instead of buy because it is the cheapest option over the first 3 years. His move-in costs are one month's rent and a $750 security deposit, and he would still need to pay his first month's rent on top of these move-in costs. To the nearest dollar, what is the maximum amount of monthly rent payment he could pay?

A person flips a penny, a nickel, and a dime. Each coin can land with heads up (H) or tails up (T). The following tree diagram displays the different outcomes. Show what outcomes are possible.

Solve the problem. Round to the nearest cent.Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?

Five years ago, Benjamin invested in Parchar Special Effects. He purchased four par value $1,000 bonds from Parchar Special Effects at a market rate of 96.230. Each bond had an interest rate of 7.2%. Benjamin also purchased 200 shares of stock in the same company, each of which cost $19.08 and had a yearly dividend of $2.04. Today, bonds from Parchar Special Effects have a market rate of 104.595, and stock in Parchar Special Effects costs $22.62. If Benjamin liquidates his portfolio and sells all of his investments, which aspect of his investment will have yielded him a greater total profit, and how much greater is it?

Ethan is planning for his retirement. He has narrowed it down to two investment options. The first is an IRA where monthly payments are made, in the amount of $416.66, for 30 years. The second is a Roth IRA where annual payments are made, in the amount of $5000, for 30 years. If both compound interest at a rate of 2.5%, determine which account will yield the largest future value for Ethan, and how much greater that value will be than that of the other account. Round your final answer to the nearest cent.

Determine whether a scatter plot of the data for the following situation might show a positive, negative, or no relationship. Explain your answer.birth month and birth weight

For the last 10 years, Megan has made regular semiannual payments of $1,624.13 into an account paying 1.5% interest, compounded semiannually. If, at the end of the 10 year period, Megan stops making deposits, transfers the balance to an account paying 2.3% interest compounded monthly, and withdraws a monthly salary for 5 years from the new account, determine the amount that she will receive per month. Round to the nearest cent.