University:
Glendale Community College
Course:
MAT142 | College Mathematics
Academic year:

2020
Views:

466

Pages:

10
Author:

Abbigail Schneider

Chapter 13 Test Review 1) Use the following data, which show the result of 20 sixth-grade I.Q. scores 95 103 96 105 96 106 97 109 97 110 100 110 101 111 101 112 a) Construct a frequency distribution with first class 90 – 97. b) Compute the total number of observations. c) Compute the width of each class. d) Find the midpoint of the third class. e) Find the modal class (or classes). f) Find the class limits of the next class if an additional class was added). 102 113 103 120 Create a frequency histogram and a frequency polygon from the data in the frequency distribution below. 2) Income (in thousands of dollars) 25 - 35 36 - 46 47 - 57 58 - 68 69 - 79 Total Number of families 2 5 8 4 1 20 3) Construct a Circle graph from the given data. Type of car Chevrolet Ford Chrysler Number of people that own 125 250 125 4) A survey was given to 500 people. The results are summarized in the circle graph below. a) How many people replied that they would like to be richer? b) How many people replied that they would like to be smarter? 5) This frequency histogram represents the grade distribution on an exam. a) How many students scored at least 70? b) How many students scored less than 90? 6) Determine the mean, median, mode, and midrange for the given data. a) 2, 3, 5, 20, 20 b) 2,2,3,5,6,6,7,7 7) A mean average of 70 on 6 exams is needed to pass a course. On her first 5 exams, Ellie received grades of 95, 70, 72, 67, and 85. a) What grade must she receive on her last exam to pass the course? b) An average of 80 is needed to get a B in the course. Is it possible for Ellie to get a B? If so, what grade must she receive on the 6th exam? c) If her lowest grade of the exams already taken is to be dropped, what grade must she receive on her last exam to pass the class? 8) Determine the range and standard deviation of the set of data, round to the nearest hundredth when applicable. You may use your calculator to calculate standard deviation. Remember to select the “s”. a) 10,10,14,16,8,8 b) 3,5,7,9,11,13,15 9) A new car is purchased and a $25,000 loan is taken. The loan is for 6 years (72 months) and the interest rate is 3.9% compounded monthly. a) What is the monthly payment? b) What is the balance after 2 years? c) How much interest will be paid over the term of the loan? 10) Kris can afford $250 per month for a car payment. What size of a car loan can she take if he plans to finance at 6 years (72 months) at an interest rate of 5% compounded monthly? 11) $150 is deposited in a retirement account every two weeks. The account already has a balance of $40,000. The investment is estimated to earn 8% interest compounded every two weeks. Compute the balance of the account after 20 years. 12) Sue wants to have $1,000,000 saved up when she retires in 30 years. Sue does not have any money saved up so far. She plans to have money put into a retirement account every two weeks with each paycheck. She hopes his investments to earn 9% interest compounded every two weeks. How much does each deposit need to be to reach her goal? Answers: 1a) I.Q. Score 90-97 98-105 106-113 114-121 Total Number of Students 5 7 7 1 20 1b) 20 1c) 8 1d) 109.5 1e) 98-105 and 106-113 1f) 122 – 129 Number of families 2) Histogram 10 8 6 4 2 0 25 - 35 36 - 46 47 - 57 58 - 68 Income in thousand's of dollars 2) Polygon Number of families 10 5 0 25 - 35 36 - 46 47 - 57 58 - 68 69 - 79 69 - 79 3) 25% 25% 50% Chevrolet Ford Chrysler 4a) 220 4b) 70 5a) 24 5b) 25 6a) mean 10 median 5 mode 20 midrange 11 6b) mean 4.75 median 5.5 mode 2,6 and 7 (tri-modal) midrange 4.5 7a) 31 7b) 91 7c) 28 8a) range 8 standard deviation 3.29 8b) range 12 standard deviation 4.32 9a) $389.99 N I 72 3.9 PV PMT FV P/Y C/Y 25000 solve 0 12 12 PV PMT FV P/Y C/Y solve -250 0 12 12 PV PMT FV P/Y C/Y -40000 -150 Solve 26 26 P/Y C/Y Begin / End End 9b) $17,306.55 (BAL(24)) 9c) $3079.39 ∑ 𝐼𝑛𝑡( 1,72) 10) $15,523.19 N I 72 5 11) $389,753.12 N I 26*20 8 12) $250.65 N I PV PMT FV 30*26 9 0 solve 1,000,000 26 26 Begin / End End Begin / End End Begin / End End