Todade I EVALUATION Refer to PAGE 2 for GENERAL INSTRUCTIONS. | A. Write A if the statement b TRUE and B if it is false. 1. Measures of central tendency and measures of position are examples of descriptive statistics. 2. Age is a qualitative variable. 9. An example of population is the exact number of people in the Philippines. 4. Quality of products (defective or not defective) is nominal scale. 5. Qualitative data cannot be presented in a frequency distribution table. 6. Measures of central tendency looks into how spread the data is. 7. Runge is the sum of the lowest and highest values in a set of data. 8. The median divides the data into two sets. 9. Class mark is the middlemost value of each class interval 9 . 10. An ungrouped data is not arranged in a frequency distribution. 10 B. Given the data below, solve for the mean, median, mode, range and standard deviation. Interpret. Class Interval (CD True Class Boundaries Frequency Class Relative Cumulative CTBC (f) mark Frequency Frequency Lower Upper Lower Upper TCB (CM) (RF - 96) CCF >CF Limit (LL) Limit TBC (UL) 118 - 126 1 17.5 - 126.5 CO 122 7.54% 3 40 127 - 195 126.5 - 135.5 5 12.5% 8 37 136 141 135.5 - 144.5 9 140 22.5% 17 32 145 - 153 144.5 153.5 12 149 30% 29 23 154 - 162 153.5 - 162.5 158 12.5% 34 11 163 171 162.5 - 171.5 4 167 88 6 172 - 180 171.5 - 180.5 2 176 3% 40 2 N = 40 100% | C. Additional Activity Keep track of your sleeping time for 10 days. Record the date and the number of hours of sleep. Then solve of the ! mean, median, mode, range and standard deviation using the data you have gathered. Date TimeEVALUATION Refer to PAGE 2 for GENERAL INSTRUCTIONS. A. List the sample space of the following experiments. 1 Elise is planning the menu for a dinner party. She wants to serve one main dish and one dessert. For the main dish, she can make adobo, fried chicken, menudo, or afritada Elise knows how to make fruit salad or graham cake. I What are the possible combinations? 2. Pamela is planning a vacation. For each place, she can get there by taking a bus, plane, or boat She can go to a city, ! a river, the ocean, or the mountains. What are the different combinations that Pamela can choose from? B. Identify the sample spaces and values of the random variable in the situations below. I Three balls are drawn in succession without replacement from a box containing 5 red balls and 6 blue balls. Let A be the random variable representing the number of blue balls. Find the values of random variable A. 2. A shipment of 5 computers contains two that are slightly defective. If a retailer receives three of these computers at random, list the elements of the sample space S using the letters D and N for defective and non-defective computers, respectively. Ler C be a random variable representing the number of computers purchased that are : slightly defective C. Construct a probability distribution for the data and draw a histogram for the following 1. A die is loaded in such a way that the probabilities of getting 1, 2, 9, 4, 5, and 6 arc 1/2, 1/6, 1/12, 1/12,! 1/12, and 1/12 respectively. 2. A box contains 3 31 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. S. A family has three children. Let X represent the number of boys. D. Solve for the mean, variance and standard deviation of the following situations. 1. The probabilities of a machine manufacturing O, 1, 2, 3, 4, and 5 defective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005, respectively. Find the mean, variance, and standard deviation of the probability ! distribution. The probabilities that a probation officer will receive 0, 1, 2, 3, 4, or 5 reports of probation violations on any given day are 0.15, 0.25, 0.36, 0.18, 0.04, and 0.02. Find the mean, variance, and standard deviation of the probability distribution