Exercise 1. Given the series: 3, 5, 2, 7, 6, 4, 9. Calculate: 1. The mode____________, median________________ and mean_________________. 2. The average deviation____________________, variance____________________ and standard deviation__________________________________. 3. Quartile 1 _______________________and Quartile 3____________________________. 4. Decile 2____________________________ and Decile 7__________________________. 5. Percentile 32 _________________________and Percentile 85____________________. Exercise 2. There are four major fields offered in a College of Business in a University which are Accounting, Finance, Management and Marketing. The following table shows the number of students enrolled in each major. Use these data to answer questions 2.1, 2.2 & 2.3 in the next page: Major Accounting Finance Management Marketing Number of Students 120 170 280 90 TOTAL Exercise 2. Questions 2.1,2.2 & 2.3 2.1)Develop a relative frequency distribution 2.2)Develop a percentage frequency distribution 2.3)Construct a Line or Bar graph for the number of students enrolled for each major. Exercise 3. The following stem and leaf plot shows the scores on a recent examination of students in Quantitative Techniques. Write the answers in the spaces provided. STE LEAF M 5 68 6 12248 7 0466 8 04466666 9 026 10 0 3.a. How many students took the test? 3.a. _________________________________ 3.b. What were the highest and lowest 3.b.__________________________________ scores? 3.c. How many students scored 60 or higher? 3.c. __________________________________ Exercise 4. Show all solutions/process of your work. Write the answers in the spaces provided. 76 74 71 80 82 67 85 76 84 72 82 77 69 70 82 The scores of a sample of 25 students in Management Accounting are shown in Construct a dot plot for the data. 78 80 88 72 82 83 79 86 86 78 the table. Exercise 5. The revenues of the top personal computer manufacturers are given (in hundred millions). 3.a. 35 67 45 26 60 72 50 91 98 70 Compute the first quartile. 3.a. Q1_____________________________________________ 3.b. Compute the third quartile. 3.b. Q3_____________________________________________ 3.d Compute the median 3.c. M_____________________________________________ Exercise 6. The profile of graduates from the College of Business in terms of their major fields are in the table below. Construct a relative and percent frequency distributions in the columns provided and answer the questions that follow in the next page. Major Frequency Accounting Administration Finance Computer Science Marketing Total Relative Frequency Percent Frequency 75 70 40 35 30 250 Based on the table in Exercise 6, answer the following questions: (1) What is the percentage of graduates whose major is Computer Science? ________ (2) What is the percentage of graduates whose major is Administration? ________ (3) What is the percentage of graduates whose major is Accounting? ________ (4) What is the percentage of graduates whose majors are Finance and Accounting? ________ (5) Which has the lowest percentage of graduates among the different majors? _________________ Exercise 7.Read the data below showing the annual salaries of the Quality Control managers in selected universities. Solve to provide answers to questions 7.1, 7.2 and 7.3: Show computation. $44,000 $49,000 $55,000 $65,000 $48,000 $55,000 $40,000 $65,000 $50,000 $52,000 $49,000 $50,000 $45,000 $70,000 $65,000 $25,000 7.1) What is the MODE of the annual salaries ____________________? 7.2) The RANGE of the annual salaries is ____________________? 7.3) The MEAN of the annual salaries is ____________________? Exercise 1. Select the correct answer and write the appropriate letter in the space provided. If there is a need for computed answers, solve and write the correct answers from your computed values in the blanks provided. ____________1. You observe 1000 leaves falling from a tree and record whether they land with their top or bottom showing and find that 583 or 58.3% land with their bottom showing. What approach to probability does this represent? A) A priori probability B) Subjective probability C) Empirical probability ____________2. Which of the following is not a valid probability value? A) 0 b) 0.57 c) 11/13 d) 4/3 ____________3. If you are trying to determine whether a leaf will fall with its bottom side showing (event A), what is the collection of events that are \"not A\" called, including leaves landing with the tops showing, leaves landing on their sides, and any other possible outcomes? A) Event B B. Sample space C. Complement of event A D.Joint events ____________4.Which of the following is a correct statement about probability? A) Probability values range from 0 to 1, inclusive. B) Probabilities may assume negative values. C) Probabilities may be greater than 1. D) Probabilities are limited to one decimal place. ____________5. A) B) C) D) The Special Rule of Addition is used to compute: the probability of two or more independent events. the probability of two or more mutually exclusive events. the probability of two or more collectively exhaustive events. subjective probabilities. ____________6. A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails? (A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.) A) B)1/3 D) 4/8 B) 3/8 ____________7.Which of the following is not a valid probability value? A) 0 b) 0.57 c) 11/13 d) 4/3 ____________8. Which of the following is a correct statement about probability? A) Probability values range from 0 to 1, inclusive. B) Probabilities may assume negative D) Probabilities are limited to one decimal place ____________ 9. The interquartile range is the difference between: a. the second and third quartile. b. the second and fourth quartile. c. the first and third quartile. d. the first and last quartile. ____________10. A contingency table : a. can only be used when there are two levels of each variable. b. can be used to study the relationship between ordinal or nominal level variables. c. can only be used with interval or ratio level variables. d. is constructed from the quartiles of a data set.. ____________ 11. A dot plot shows the range of values along the: a. vertical axis. b. ( x, y ) diagonal axis. c. median axis. d. horizontal axis. ____________12. A scatter diagram is a graphic tool used to portray: a. the mean of the data values. b. the range of the data values. c. the midpoint of data values. d. the relationship between variables. ____________13. In a stem and leaf display: a. the leaf is the leading digit or digits of the number. b. the stem is the leading digit or digits of the number. c. the stem or the leaf can be the leading digit or digits of the number. d. the stem is the trailing digit. ____________14. A committee of three is chosen from among the five professors - Dr. Smith, Dr. Andrews, Dr. Joalvz, Dr.Fritz and Dr. Burke. What is the probability that Dr. Burke is on the committee? Show solution. A) 1/5 B) 2/5 C) D) 3/5 ____________15. A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails? (A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.) Show solution. A) B)1/3 D) 4/8 B) 3/8 Exercise 2. Write the correct answers on the spaces provided. Show solutions. ____________1. Six children have heights of 138 cm, 150 cm,135 cm, 140 cm, 139 cm and 141 cm. What is the range of their heights? ____________ 2. What is the range of the following numbers:19, 21, 18, 17, 18, 22, 46, 88? ____________ 3. What is the median in the following numbers: 39, 21, 18, 17, 18, 22, 46? ____________ 4. Gardner took 8 tests in different subjects and got scores of 86, 84, 84,84, 79, 91, 90, 83. What was Gardner's mode score? ____________ 5. In a set of scores, the value 88 appeared twice, more than any other number. What is the mode score? ____________ 6. The temperature in degrees Celsius over 4 days in Sharjah last July was 45, 40,42 and 43. What was the mean temperature? The weekly salaries of six employees at a restaurant are AED 330, AED 475, AED 398, AED 380, AED 450, AED 450. Answer items 7 & 8 based on these six salaries: ____________ 7. the median? ____________ 8. the mode? ______________9.A storeowner kept a tally of the sizes of suits purchased in her store. Which measure of central tendency should the storeowner use to describe the average size suit sold? ____________ an 10.A tally was made of the number of times each color of vehicle is seen in intersection at a certain time. Which measure of central tendency should a researcher use to determine which color is the choice of car owners seen at a certain time