47 GEC 104 I MATH 43 I MATH 16: MATHEMATICS IN Name: THE MODERN WORLD: STATISTICS Module Test I DLC: Score: True or False. owes?! 1. When using samples instead of the whole population, you will need the concept of inferential statistics in the interpretation of your results. 2. A census requires that every individual case in the universe must be considered for study while sample survey considers only a representative part of the population. 3. Statistics has one and only meaning and that is data or gures and its main function is to provide the necessary quantitative information. 4. A statistic is a numerical value pertaining to a sample's characteristics. 5. If the population of a study is nite and just covers only a small set of data and the time and cost of the study is of no concern to the one who is conducting the study then it is better to take samples rather than conduct the study over the whole population. 6. Early in the construction of a frequency table, round off the values of range (R), Classes (10 but not necessarily the size of the interval (1') to whole numbers in the given set of data. 7. In lling up the table for Cumulative Frequency Less Than, one should start by retaining the frequency of the lowest class and then adding to it the frequency of the subsequent classes. 8. A frequency table can be classified as a pictograph. 9. A histogram can also be considered as an example of a vertical bar graph. 10. There is no scenario exist in which the sample size selected is also equal to the whole population. Matching Type. decision making under uncertainty pictures and symbol random sampling without restriction Cluster Sampling raw data population a two-step process or more inductive reasoning charts, graphs and in tabular form random sampling with restriction arm-2:92 cumulative frequency GEC 104 f MATH 43 I MATH 16 Mathematics in the Modern World: Statistics universe ogive ungrouped data SJ'IPf-DNT' IIIII Modem Statistics Multi-stage Sampling lllll 450.0374?\" 48 Presentation of data lnferential Statistics Restricted Sampling pictogram 0. Probability Sampling For the upcoming year, Oscorp Industries plans to increase the salary of its 30 employees based on their lengths of service. The table below shows the 30 employees' lengths of service in years. 19 10 12 10 11 12 12 EDU'IEDM 8 3 15 16 13 19 17 14 15 9 6 Construct the frequency distribution for the lengths of service of the 30 employees of Oscorp Industries Show solutions but do not include the derived distributions. (10 pts) IV. A survey is conducted among the high school students at the Xavier Institute about how much of their daily allowances they spend for school activities each day. Here is the result of the survey among the 85 high school students. Show Solution. Amount in Pesos 5559 50-54 45-49 4044 3539 3034 25-29 20-24 Number of Students 5 9 10 22 18 13 6 2 1. Construct a frequency distribution including all the discussed derived distributions. (10 pts) 2. Create a histogram of the frequency. (5 pts) Graph the frequency polygon (5 pts) .03 4. Graph the Cumulative Frequency Less Than and Cumulative Frequency More Than and then approximate the value of the median using the two graphs. (5 pts) GEC 104 i MATH 4B / MATH 16 Mathematics in the Modern World: Statistics