Answer all the questions

Let's Check Compute the measures of central tendency (mean, median, mode] and the measures of variation (range, variance, standard deviation) of the following and provide a detailed explanation of how you come up with your answer. Do it in any clean paper. Submit your output in PDF format through blackboard. a. Consider the data as POPULATION 6 a 8 1o 10 1o 10 1o 12 12 14 b. Consider the data as SAMPLE s 5 5 s 3 10 12 12 14 14 14 Let's Analyze Situation 1 - The rst three test scores of each of the four students are shown. Each student hopes to maintain an average of 85. Find the score needed by each student on the fourth test to have an average of 85, and explain why such average is not possible. a. Lisa: 78, 80. 100 b. Mary: 90.92.95 c. Lina: 79, 60. 81 d. Willie: 65, 80, 80 Situation 2 What measure of central tendency is used in the following situations? a. Kevin noticed that half of the cereal brands in the store cost more than Php 150.00. b. The average score on the last Pre-Algebra test was 85. c. The most common height on the basketball team is 6 ft 11 in. d. One-half of the cars at a dealership cost less than Php 700.000. e. The average amount spent per customer in a department store is Php 2,500. Situation 3 Compute the variance and standard deviation of the set of test scores(population]: {39, 10. 24, 16, 19, 26, 29, 30, 5}