ID NUMBER:_______________________ NAME: ______________ SECTION:_____ ASSIGNMENT - Answer the questions for each exercise. If there is a need for computed answers, solve and write the correct answers from your computed values in the blanks provided. Exercise 1. Select the correct answer and write the appropriate letter in the space provided. ______1. 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. ______2. 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.. _______3.A dot plot shows the range of values along the: a. vertical axis. b. ( x, y ) diagonal axis. c. median axis. d. horizontal axis. ______ 4. 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. ______ 5. a. b. c. d. In a stem and leaf display: the leaf is the leading digit or digits of the number. the stem is the leading digit or digits of the number. the stem or the leaf can be the leading digit or digits of the number. the stem is the trailing digit. Exercise 2. Write the correct answer on the space provided. ____________ 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. Masroor took 9 tests in different subjects and got scores of 68, 71, 71,84, 53, 71, 62, 67. What was Masroor's mode score? ____________ 5. In a set of scores, the value 103 appeared twice, more than any other number. What is the mode score? ____________ 6. The temperature in degrees Celsius over 4 days last May was 28, 21,19 and 30. What was MTH 105- Page 1 of 4 the mean temperature? The weekly salaries of six employees at a restaurant are $180, $220, $98, $180, $140, $200. For these six salaries, find: _____________ 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? _________________________10. A tally was made of the number of times each color of crayon was used by a kindergarten class. Which measure of central tendency should the teacher use to determine which color is the favorite color of her class? A card is chosen at random from a deck of 52 playing cards. There are 4 Queens and 4 Kings in a deck of playing cards. Using these DATA, answer questions 11 until 13. Show calculations. _____________11. What is the probability it is a Queen or a King? _____________12.There are 4 Queens and 4 Kings, so the Number of ways it can happen is__. _____________13.There are 52 cards altogether, so the Total number of outcomes is______ MTH 105- Page 2 of 4 Use the following table to answer questions 14,15,16 and 17. COUNTY HOME SALES POST OFFICE CODE SALE PRICE 48759 $210,000 48577 $189,000 48383 $375,000 48759 $215,000 48750 $132,000 48759 $236,000 48577 $196,500 48577 $192,000 TOTAL: 14) Is there a Mode among the sale prices? a. Yes b. No 15) Which of the following is the range of the house price in the above table? __________________ a. $173,500 b. $243,000 c. $196,500 d. $215,000 e. $210,000 16) The median house price in the table is___. a. $173,500 b. $203,250 c. $196,500 d. $215,000 e. $210,000 17).Which of the house price below is the mean house price in the table to the nearest dollar?________________ a. $210,750 b. $215,763 c. $218,188 d. $199,452 e. $196,961 18) Which of the following is not a valid probability value? ________________________________ A) 0 b) 0.57 c) 11/13 d) 4/3 19) 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 20) 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 computation. A) MTH 105- Page 3 of 4 B)1/3 D) 4/8 B) 3/8 MTH 105- Page 4 of 4 ID NUMBER:__________________ NAME: _______________ SECTION:____ _ Calculation Worksheet- MTH105(Statistics for Business). Deadline of uploading in the portal-July 11, 2015 ==================================================== ======== TESTING COMPUTATIONAL SKILLS (Show calculations in the boxes provided): Exercise 1. There were 850 students in the school of business administration in a university. The school ofers four majors, namely: Accounting, Finance, Management and Marketing. The following table shows the number of students enrolled in each major: Major Accounting Finance Management Marketing Number of Students 320 160 280 90 TOTAL (1.) Develop a relative frequency distribution (2.) Develop a percentage frequency distribution (3.) Construct a Line graph for the number of students enrolled for each major. Exercise 2. The following stem and leaf plot shows the scores on a recent examination of students in College Algebra. Write the answers in the spaces provided. STE LEAF M 5 68 6 12248 7 0466 8 04466666 9 026 10 0 2.a. How many students took the test? 2.a. _________________________________ 2.b. What were the highest and lowest 2.b.__________________________________ scores? 2.c. How many students scored 60 or higher? 2.c. __________________________________ Exercise 3. Show all solutions/process of your work. Write the answers in the spaces provided. 67 78 80 89 77 76 80 85 72 69 74 82 76 82 70 The scores of a sample of 30 students in Calculus are shown in the table. Construct a dot plot for the data. 71 67 84 77 82 78 88 82 79 86 80 72 83 86 78 Exercise 4. The revenues of the top eleven personal computer manufacturers are given (in hundred millions). 3.a. 1 5 7 2 17 23 26 27 88 91 98 35 102 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 5. 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 85 80 50 45 40 300 Based on the above table, 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 diferent majors? __________________ Exercise 6.Read the data below showing the annual salaries of the Quality Control managers in selected universities. Solve to provide answers to questions 6.1, 6.2 and 6.3:Show computation. $65,000 $49,000 $44,000 $55,000 $48,000 $52,000 $50,000 $70,000 $55,000 $65,000 $40,000 $65,000 $49,000 $65,000 $65,000 $50,000 6.1) What is the MODE of the annual salaries ____________________? 6.2) The RANGE of the annual salaries is ____________________? 6.3) The MEAN of the annual salaries is ____________________