Sciences Mathematics College Math College Math Exams Standard Deviation, Normal Distribution, Interest, And Payments
Find the standard deviation.
33, 9, 3, 9, 32, 46
A) 249.33
B) 299.2
C) 880
D) 17.30
Explanation:
Find the median.
13, 49, 33, 36, 37, 5, 58, 31
A) 34.5
B) 32.75
C) 33
D) 36
Explanation:
Which of the following is not a property of a normal distribution?
A) It never touches the x-axis.
B) The mean, median, and mode are equal.
C) It is continuous.
D) It is bimodal (i.e., it has two modes).
Explanation:
Visit this page for a good explanation on the properties of normal distribution.
Find the area under the normal distribution curve to the right of z = –1.03.
A) 0.151
B) –0.349
C) 0.349
D) 0.849
Explanation:
Kate scored in the 95th percentile rank on an exam. If 400 students took the exam, how many students scored lower than Kate?
A) 379
B) 381
C) 378
D) 380
Explanation:
400 x 0.95 = 380.
The average amount customers at a certain grocery store spend yearly is $636.55. Assume the variable is normally distributed. If the standard deviation is $89.46, find the probability that a randomly selected customer spends between $550.67 and $836.94.
A) 0.144 = 14.4%
B) 0.820 = 82.0%
C) 0.156 = 15.6%
D) 0.943 = 94.3%
Explanation:
Find the missing value.
A) 7 years
B) 6.5 years
C) 5.5 years
D) 6 years
Explanation:
Find the future value.
A) $1,586.98
B) $1,536.48
C) $1,636.60
D) $1,516.23
Explanation:
Dr. Collins borrowed some money to buy new furniture for her office. She paid $720.00 simple interest on a 7.5-year loan at 16%. Find the principal.
A) $750
B) $500
C) $600
D) $700
Explanation:
What is the effective annual yield of an account paying 5% compounded quarterly?
A) 5%
B) 5.09%
C) 5.12%
D) 5.21%
Explanation:
For the 20 test scores shown, find the percentile rank for a score of 86.
75, 63, 92, 74, 86, 50, 77, 82, 98, 65, 71, 89, 75, 66, 87, 59, 70, 83, 91, 73
A) 75th percentile
B) 30th percentile
C) 80th percentile
D) 70th percentile
Explanation:
Find Q1, Q2, and Q3 for the data set below.
Q1, Q2, and Q3 are respectively 25th, 50th, and 75th percentiles.
5.4, 2.0, 6.8, 3.1, 2.9, 4.7, 2.1, 5.0, 1.9, 3.4
A) Q1 = 2.1, Q2 = 3.25, Q3 = 5.0
B) Q1 = 2.05, Q2 = 3.1, Q3 = 5.2
C) Q1 = 2.1, Q2 = 3.4, Q3 = 5.0
D) Q1 = 2.05, Q2 = 3.25, Q3 = 5.2
Explanation:
The cost of a sports utility vehicle is $27,000. You can finance this by paying $5000 down and $410 per month for 60 months. Instead of making the twenty-fourth payment, you decide to pay the remaining balance and terminate the loan for the vehicle. Using the rule of 78, calculate the total amount due on the day of the loan’s termination.
A) $14,223.77
B) $14,323.77
C) $15,223.23
D) $15,233.23
Explanation:
The price of a home is $500,000. The bank requires a 10% down payment. After the down payment, the balance is finance with a 30-year fixed-rate mortgage at 6%. Determine the monthly mortgage payment and unpaid balance after 10 years.
A) PMT = $2697.98, PV= $376,586.13
B) PMT = $2545.38, PV= $376,583.87
C) PMT = $2357.28, PV= $366,586.13
D) PMT = $2679.97, PV= $336,586.87
Explanation:
Phil had an unpaid balance of $1,854.50 on his credit card statement at the beginning of December. He made a payment of $45.00 during the month. If the interest rate on Phil's credit card was 2.5% per month on the unpaid balance, find the finance charge and the new balance on January 1.
A) Finance charge = $44.47; new balance = $1,853.97
B) Finance charge = $50.47; new balance = $1,859.97
C) Finance charge = $56.50; new balance = $1,866.00
D) Finance charge = $46.36; new balance = $1,855.86
Explanation:
