Choose the letter of the best answer.

6. Which of the following statement is TRUE? A. A small value of standard deviation (or variance) indicates that the distribution of the random variable is concentrated narrowly around the mean B. A negative value of standard deviation (or variance) indicates that the distribution of the random variable is concentrated narrowly around the mean. C. The values closer from My have equal probability. D. The values closer from My have equal probability. 7. Which term is calculated by summing the product of the square of the difference between the value of the random variable and the expected value, and the associated probability of the value of the random variable, taken over all of the values of the random variable, and finally taking the square root? A. Probability Distribution B. Variance of Discrete Probability Distribution C. Standard Deviation of Discrete Probability Distribution D. Mean or Expected Value of Discrete Probability Distribution 8. What another notation can be used for a variance? A. E(X) B. P(X) C. P (X) D. Var(X) 9. If the variance of a probability distribution is 2.6 grams, then what proper way to do to get the standard deviation? A. V2.6 B. (2.6)2 C. 1.61 + 2.6 D. 1.61 - 2.6 For items 10 -11, refer to the diagram below. 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 10. What is the value of ux? A. 4 B. 5 C. 6 D. 7 11. How dispersed are the scores from the mean? A. 5 B. 6 C. 7 D. 8For items 12 -13, refer to the diagram below. 18 21 15 12 3 12. What is the value of ux? A. 6 B. 9 C. 12 D. 15 13. How dispersed are the elements from the mean? A. 9 B. 12 C. 15 D. 18 For items 14 -15, refer to the diagram below. 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14. What is the value of ux? A. 5 B. 7 C. 9 D. 11 15. How dispersed are the scores from the mean? A.5 B. 7 C. 9 D. 11 Additional Activities Study and analyze the figures below. 3 2 2 1 0 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10Figure A Figure B 3 2 1 0 1 2 3 4 5 6 7 8 9 10 Figure C A. Compare the means of the three figures. B. Show the relationship between the variance and standard deviation among three given figures.1. Which of the following terms is considered as a measure of the central location' of a random variable? A. Probability Value B. Mean Value C. Numerical Value D. Variance 2. Which of the following notations is equivalent to the mean of the probability distribution? A. o B. co C. u D. None of the Above 3. Which of the following notations is equivalent to the expected value of the probability distribution? A. E(X) B. & C. o D. P(x) 4. Which of the following statements is TRUE about the standard deviation of a discrete random variable? A. It shows the spread out or dispersion of discrete random variables. B. It is obtained by multiplying the x values and their corresponding probability. C. It deals with the average or center of location of the probability distribution.D. It is the summation of the product of the square of the difference of x and its probability. A. 4 5. Use the illustration below. What is the mean of the distribution? B. 6 C. 7 D. 8 050 2 3 5 8 10 6. Which of the following statements is TRUE? A. The values further away from My have a small probability. B. The values further away from My have a large probability. C. The values closer from My don't have equal probability. D. The values closer from My have equal probability. 7. Which term can be displayed the variability or the dispersions of the random variables. A. Probability Value B. Expected Value C. Mean Value D. Variance 8. What formula is used to find the variance of a discrete random variable? A. o_x 2=_ [x.p(x)); for all possible values of x B. oz = E(x + u)2 . p(x); for all possible values of x C. oz = Z(x - u)2 . p(x); for all possible values of x D. o? = E(P(x) + u)2 . x ; for all possible values of x 9. Which formula is appropriate to use in finding the mean of a discrete random variable? A. E(X) = Hx = Ex - p (x) B. E(x) = Hy = Ex+p(x) C. E(x) = Hy = Ex- P (x) D. E(x) = My = Ex . p (x)2 For items 10 -11, refer to the diagram below. 1 2 3 4 5 6 7 8 9 1010. What is the value of ux? A. 4 B. 5 C. 6 D. 7 1 1 How dispersed are the scores from the mean? A. 4 B. 5 C. 6 D. 7 For items 12 -13, refer to the diagram below. 3 N 1 ILL 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 12. What is the value of Ux? A. 5 B. 7 C. 9 D. 11 13. How dispersed are the scores from the mean? A. 4 B. 6 C. 7 D. 8 For items 14 -15, refer to the diagram below. 12 24 36 48 60 72 14. What is the value of ux? A. 24 B. 36 C. 48 D. 60 15. How dispersed are the elements from the mean? A. 12 B. 24 C. 36 D. 48What's More Independent Activity: Study and analyze. 40 35 30 5 10 20 25 15 1. Figure above shows the number of polo shirt sold by 5 different Ri w boutique a. Illustrate the mean. (2 points) b. Illustrate the variance and standard deviation. (5 points) 2. From the figure below, a. Illustrate the mean or expected value. (2 points) b. Illustrate the variance and standard deviation. (5 points) 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2. Compare the variance and standard deviation of the two figures provided. 3 2 1 0 1 2 3 4 5 6 7 8 9 11 12 13 14 Figure A3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Figure BWhat I Can Do , Family Budget Things to do: ' 7 " ' 1. Create a Table of Expenses of your family in a week. (Ask help from your Mother) . . 2. List the number of expenses for each day. 3. Create a graphical representation of your data gathered. 4. Base on the graphical representation you made, illustrate for the following. a. mean or expected value; and b. variance and standard deviation.I paper. 1. Which of the following use the formula of (x) = Ex . p (x) ? A. Probability Distribution B. Variance of Discrete Probability Distribution C. Standard Deviation of Discrete Probability Distribution D. Mean or Expected Value of Discrete Probability Distribution 2. Among the notations below, which is equivalent to E(x)? A. oz B. Ox C. Hz D. P (X) 3. Which of the following statements best describe the expected value of a discrete random variable? A. It is the simple average of all possible outcomes B. It is the geometric average of all possible outcomes. C. It is the weighted average over all possible outcomes. D. It is the complex average of all possible outcomes in the distribution. 4. To which of the following concepts refer this statement "the sum of the product of each value of a discrete random variable and its corresponding probability"? A. Probability Distribution B. Variance of Discrete Probability Distribution C. Standard Deviation of Discrete Probability Distribution D. Mean or Expected Value of Discrete Probability Distribution 5. Use the illustration below. What is the mean of the distribution? 10 20 30 40 50 60 70 A. 20 B. 30 C. 40 D. 50