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Please help me tutor. I hope you can provide a detailed explanation on how did you know that the answsr you provided is correct.

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Activity 1 Instruction: Choose the letter of the correct answer. 1. It is a useful area of mathematics that collects, organizes, interprets and analyzes data and you use it every day. A. Probability B. Mathematical Analysis C. Statistics D. Algebra 2. It is a characteristic of the individual or element being studied, measured or observed in a statistical analysis. A. Data B. Variable C. Data Set D. Population 3. It refers to the piece(s) of information or measurements of a variable(s). A. Data B. Variable C. Sample D. Population 4. The following are the importance and role of statistics, except: A. Governments conduct the population census to estimate the figures of national income and the prosperity of the country. B. In education, statistics are not used to determine the reliability and validity of a test, to study factors affecting academic performance and other research studies. C. Statistics is an important part of life. Numbers don't lie. They allow us to analyze information on a very basic level. D. Health statistics help researchers learn what treatments work well or not.5. It is a type of random variables that take only a countable number of distinct values such as 0, 1, 2, 3, 4... A. Quantitative B. Discrete C. Continuous D. Qualitative 6. A variable whose value varies by attributes or characteristics A. Quantitative B. Discrete C. Continuous D. Qualitative 7. It is a random variable that represents measured data, such as heights, weights, and temperatures.A. Quantitative B. Discrete C. Continuous D. Qualitative 8. It is the weighted average of the possible values that the random variable can take. a. Mean b. Standard deviation c. Variance d. Probability 9. It measures the spread, or variability of the distribution. a. Mean b. Normal distribution c. Variance d. Probability 10. What is the approximate area under normal curve? A. 0.5 B. 0.75 C. 1.00 D. 2.0011. The normal distribution is centered at its A. Mean B. Variance C. Standard deviation D. Probability 12. A z-score gives the number of standard deviations a specified value of a normal random variable is above the mean. a. negative b. zero c. positive d. none of the above 13. In tossing 2 coins, let X the random variable be the number of heads in a toss. What is the probability that 2 heads will appear? A. 4/4 B. 3/4 C. 2/4 D. 1/4Activity 2 Instruction: Identifyr the following if Discrete or Continuous 1. The height of children. 2. The amount of time it takes to sell shoes. 3. The weight of a truck. 4. The number of test questions you answered correctly. 5. The number of students in a class

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