3.1 What is the median for this exam? 3.2 What is the mode? 4. Given the following values of central tendency for each distribution, determine whether the distribution is symmetrical, positively skewed, or negatively skewed: a. Mean 14, median 12, mode 10 b. Mean 14, median 16, mode 18 c. Mean 14, median 14, mode 14 S. A student kept track of the number of hours she studied each day for a 2-week period. The following daily scores were recorded (scores are in hours): 2.5, 3.2, 3.8, 1.3, 1.4, 0, 0, 2.6, 5.2, 4.8, O, 4.6, 2.8, 3.3. Calculate a. The mean number of hours studied per day b. The median number of hours studied per day c. The modal nlunber of hours studied per day *Which is the most accurate measure of central tendency? Explain. *Which is the least accurate measure of central tendency? Explain. 6. An industrial psychologist observed eight drill- press operators for 3 working days. She recorded the number of times each operator pressed the \"faster\" button instead of the \"stop" button to determine whether the design of the control panel was contributing to the high rate of accidents in the plant. Given the scores 4, 7, 0, 2, 7, 3, 6, 7, compute the following: a. Mean b. Median c. Mode d. Range e. Stande deviation f. Variance 7. Without actually calculating the variability, study the following sample distributions: Distribution a: 21, 24, 28, 22, 20 Distribution b: 21, 32, 38, 15, 11 Distribution c: 22, 22, 22, 22, 22 7.1 Rank-order them according to your best guess of their relative variability. 7.2 Calculate the standard deviation of each to verify your rank ordering. nnmmo measures of Central Tendency and Variability Week 4 Exercise Set GENERAL INSTRUCTIONS: 1. Place your answers on separate sheets. 2. The output should be HANDWRITTEN. You must sign every page. 3. Take a screenshot of your work and attach it to a word document and convert to PDF. 4. SHOW YOUR SOLUTIONS FOR ALL NUMBERS. Points will NOT be credited if answers without solutions are provided. DEADLINE: The day before our next class, 11:59pm via Blackboard Submission Link 1. Calculate the mean, median, and mode for the following scores: a. 5, 2, 8, 2, 3, 2, 4, 0, 6 b. 30, 20, 17, 12, 30, 30, 14, 29 c. 1.5, 4.5, 3.2, 1.8, 5.0, 2.2 2. Calculate the mean of the following set of sample scores: 1, 3, 4, 6, 6. 2.1 Add a constant of 2 to each score. Calculate the mean for the new values. Generalizc to answer the question, \"What is the effect on the mean of adding a constant to each score?" 2.2 Subtract a constant of 2 from each score. Calculate the mean for the new values. Generalize to answer the question, \"What is the effect on the mean of subtracting a constant from each score?" 2.3 Multiply each score by a constant of 2. Calculate the mean for the new values. Generalize to answer the question, \"What is the effect on the mean of multiplying each score by a constant?\" 2.4 Divide each score by a constant of 2. Calculate the mean for the new values. Generalize to answer the question, \"What is the effect on the mean of dividing each score by a constant?" 3. The following scores resulted from a biology exam: ooooooooooooooooooooooooooooooooooooooooooooooo 3 65-69 7 9094 3 60-64 6 85-89 5 5559 5 3034 6 5054 3 7579 6 4549 2 7074 3