Please show and explain the complete solution of each item.
8) If the standard deviation of a sample of 100 observations equals 64, then the variance of the sample is equal to: A. 8 B. 10 C. 6400 D. 4096 9) When calculating the median for a dataset consisting of an even number of scores (i.e. 2,4,6 etc.) which of the following is correct? A. Calculate the average value of the three middle ranked scores B. Calculate the mean for the whole dataset which would provide the same answer C. Calculate the average value of the two middle ranked scores D. Calculate the mode and use instead 10. Which of the following statements concerning the mean is incorrect? A. The mean is sensitive to a single extreme value B. The mean is a more complex descriptive statistic than either the mode or median C. The mean should always be used as the preferred measure to indicate a typical score D. The mean provides the most sensible result when the interval/ratio dataset has a symmetrical set of scores 11. Which of the following statements is the most accurate description for the concept of standard deviation? A. The square root of the total distance from the smallest score to the highest score. B. The squared average distance between all scores and the mean. C. The total distance from the smallest score to the highest score. D. The average distance between a score and the mean. 12. The standard deviation of a student's grades is zero. What do you know about the grades of this student? Why do you say so? Choose one letter only. A. The student scored low grades. B. The student got a B on all tests. C. The student's grade is unpredictable. D. The student scored the same grade every time.Practice Exercises: Solve the following problems. Show complete solutions. 1) In a basketball game between Kennedy High School and Lincoln High School, the Lincoln players' individual points were 23, 4, 6, 11, 4, 7, 8, 12, 3, and 5. Find the mean, median, and mode of the individual points. 2) Olivia swims the 50-yard freestyle for the Mud Dogs swim team. Her times in the last six meets were 26.89 seconds, 26.27 seconds, 25.18 seconds, 25.63 seconds, 27. 16 seconds, and 27.18 seconds. Find the mean and median of her swimming times. 3) The following FDT shows the number of daily participants in an online class. Find the mean, median and mode. Class Interval 15 - 19 5 20- 24 8 25 - 29 6 30 - 34 CO 35 -39 4Part A. Answer the following problems and show complete solution. 1) In a basketball game between SWU PHINMA and UV, the cobras players' individual points were 23, 14, 6, 11, 10, 7, 8, 12, 4, and 8. Find the mean, median, mode, range, and standard deviation. 2) Ara swims the 50-yard freestyle for the LV swim team. Her times in the last six meets were 26.89 seconds, 26.27 seconds, 25.92 seconds, 25.63 seconds, 27.16 seconds, and 27.23 seconds. Find the mean, median, mode, range and standard deviation of her swimming times. 3) Find the range and standard deviation of the given set of values. 8, 9, 10, 10, 10, 11, 11, 11, 12, 13 4) The following data are ages (in years) of 6 lions. Those lions were randomly selected from the 22 lions at a local zoo: 13, 2, 1, 5, 2, 7 . Based on the sample, what is the average age of the lions? What is the standard deviation? Round your answers to the nearest tenth. Part B. Multiple Choice: Encircle the letter of the correct answer. 1) In a frequency distribution table if the 1st class interval is 25 - 36, then the class size will be: A. 9 B. 10 C. 11 D. 12 2) The largest and the smallest values of any given class of a frequency distribution are called: A. Class Intervals B. Class marks C. Class boundaries D. Class limits 3) If there are no gaps between consecutive classes, the limits are called: A. Class limits B. Class boundaries C. Class intervals D. Class marks 4) The monthly income of 5 persons are 3000, 5000, 4000, 2000 and 6000. What is the value of the mean? A. 6000 B. 5000 C. 4000 D. 3500 5) The positive square root of the mean of the squared deviations of the values from their mean is known as: A. standard deviation B. median C. variance D. Range 6) Find the range in the data set 18, 25, 12, 13, 8, 9, 20. A. 11 B. 33 C. 13 D. 17 7) The summary statistics which measure the middle or center of the data. A. variable B. proportions C. measures of dispersion D. measures of central tendency
