E. If money is w 0.06 Since n = (2)(3) = 6 and i = = 0.03 for 2 years. 2 M = Php100,000 (1 + 0.03)6 = Php119,405.23 Abstraction (Critical Thinking) 1. If interest rate is unknown, give the formula for annual interest rate, j. F. If the rate is 2. If the time is unknown, derive a formula for t. Application (Creativity) A. What is the present value of Php65,000 at 11% compounded annually 4 years? Summary Compoun Bdoing h will he receive E. If money is worth 6% compounded bi-monthly, find the present value of Php 125,700 for 2 years. F. If the rate is at 1.25% effective, how long will Php5,000 become Php5,500? rate, j. uallyiswering a 60-item exalt Make a frequency distribution table with 6 class intervals. 5. Count how many of the values fall within each of the cla 78 58 55 70 57 89 87 69 67 55 Class intervain 88 83 Frequency 76 88 82 80 79 66 77 77 55-61 77 90 88 76 79 89 84 85 60 65 62 - 68 62 75 70 80 80 84 64 60 85 66 69-75 1. Determine the lowest and highest values and calculate for the range. The rang 76 - 82 12 is the difference between the lowest and highest values. 83 - 89 11 Range = highest value - lowest value = 90 - 55 = 35 90 - 96 2. Calculate the class width by getting the ratio of the range and the number of clat Graphs are also used to present data. They give intervals. Round-up the obtained value. which can help to clarify some uncertainties about the class width = 35 = 7 6 important considerations when using graphs to present 3. Start the frequency distribution table with the lowest value and add the clas Bar graphs and pie charts are the most notable g width repeatedly to obtain the lower limits of the class intervals. data. Describing frequency is the main objective of bar Class intervals Frequency 55 - 40 62 - Gender Frequency 30 69 - Male 35 20 76 - Female 20 10 83 - Total 55 90 -Total Histogram 14 The pie chart shows that Universal Studios in Singapore is the most visited pia 12 by 34 out of 80 individuals. There are also graphs for quantitative data. These graphs are the histogra 10 stem-and-leaf plots and box and whisker plot. A histogram is a graph that cons 8 of vertical, rectangular bars which represent the frequency of ranges of values. T 6 rectangular bars have no gaps between them. A histogram is the graphical representation of a frequency distribution table construct a histogram, consider the frequency distribution table below: Class intervals Frequency 48 - 54 55-61 62- 68 69 -75 76 -82 83-89 90- 55-61 7 A stem-and-leaf plot is another visual representation of 62 - 68 5 is divided into two parts: "stem" and "leaf." The stem is the 69 - 75 4 the leaf is the last digit of a value. An example of a stem-and 76 - 82 12 3 05 83 -89 11 2 22459 90 - 96 04568899 1. Allot one column for the lower class boundaries and upper class boundaries. The 0 689 class boundaries are also called real class limits. The lower class boundaries are Original data can be obtained from the stem and obtained by subtracting 0.5 from the lower class limits. The upper class boundaries 10, 14, 15, 16, 18, 18, 19, 19, 22, 22, 24, 25, 29, 30, a are obtained by adding 0.5 to the upper class limits. A stem - and - leaf plot is used when the distribu 70 A Course Module for Mathematics in the Modern Worldis practiced not only by privately- owned corporations but also by those owned by the government. o Activity (Collaboration) Watch any one of the three movies listed: 1. Too Big to Fail 2. Margin Call 3. The Wolf of Wall Street Enumerate words which you think may be important to the discussion on stocks and bonds and define them using any source (Google, dictionary, Business books, etc). Analysis (Communication) whership, including claims on the assets and earnings, in aquantitative data. d upper quartile A. Consider the total length of time to eat lunch by 40 employees of Xas Company: 10 15 11 nd-whisker plot is 7 8 12 10 12 11 14 1. Make a frequency distribution 15 14 10 9 8 8 d-whisker plot is 7 12 10 9 table with 6 class intervals. 11 13 12 14 13 13 10 8 8 10 2. Construct a histogram of 9 10 11 13 14 14 15 12 8 the data. B. Handwashing is an important habit that everyone should have. For one, it reduces the likelihood of obtaining diseases. In a busy restaurant, 30 people were surveyed to determine the prevalence of handwashing. Y - washed hands, N - did not wash hands.15.5 - 82.5 12 83 -89 82.5 - 89.5 11 90 - 96 89.5 - 96.5 2. The x-axis shows the class boundaries while the y-axis shows the frequency. Histogram 14 12 ore is the most visited place 10 R graphs are the histogram 6 n is a graph that consist of ranges of values. The 2 ncy distribution table. To 0 48 - 54 55 -61 62-68 69 - 75 76-82 83 - 89 90-96 le below: A stem-and-leaf plot is another visual representation of quantitative data. Data is divided into two parts: "stem" and "leaf." The stem is the first digit or digits while the leaf is the last digit of a value. An example of a stem-and-leaf plot is shown below:Abstraction (Critical Thinking) Consider the semestral grades of two sets of students: Class A: 51 53 75 75 75 75 76 76 77 77 77 1. What is the most 77 78 79 79 79 80 80 81 82 82 83 appropriate graph to use 83 84 84 84 85 85 86 86 86 86 88 2. What measure of central 88 88 88 88 89 90 95 tendency can be obtained Class B: from the data? 53 61 67 71 73 74 https://pho 75 75 75 76 77 3. What measure of 78 78 79 79 80 83 84 84 85 86 86 dispersion can be Y N Y N 86 87 87 87 87 88 89 89 90 90 92 94 obtained from the data? Y Y Y Y Y Y Application (Creativity) N Y Y C. Consider the hA. What is the present value of Php65,000 at 11% compoundo Summary 4 years? Compound interest B. A Php1,000,000-trust fund was set up and to be used by an 8-year old nephew when he goes to college. In 8 years; how much will the fund be if the investmen rate is 7.5% compounded quarterly? 112 A Courethe histogram hisker plot. A histogram is a graph that consist epresent the frequency of ranges of values. The en them. esentation of a frequency distribution table. To quency distribution table below: 0 Frequency 48 - 54 55 - 61 62 - 68 69 - 75 76-82 83 -89 90 -96 A stem-and-leaf plot is another visual representation of quantitative data. Data is divided into two parts: "stem" and "leaf." The stem is the first digit or digits while the leaf is the last digit of a value. An example of a stem-and-leaf plot is shown below: 3 05 12 2 22459 11 1 04568899 0 689 faries and upper class boundaries, The Original data can be obtained from the stem and leaf plot. They are 06, 08, 09, limits. The lower class boundaries are 10, 14, 15, 16, 18, 18, 19, 19, 22, 22, 24, 25, 29, 30, and 35. lass limits. The upper class boundaries A stem - and - leaf plot is used when the distribution is symmetric. limits. Chapter 4: Statistics and Data 71