Dispersion measures Instructions: In this task we will work with dispersion measures. You will calculate dispersion measures for populations and samples, both for ungrouped and pooled data. Round the final results-not the intermediate values that appear during calculationsto two decimal places, when necessary. Question #1 2) Why is standard deviation considered one of the best measures for determining variation between data? (2 points) Question #2 1) A nutritionist gets the amounts of sugar (grams) from 10 different cereals, including Cheerios, Corn Flakes, Froot Loops and seven others. The quantities are listed below: 3, 24, 30, 47, 43, 7, 47, 13, 44, 39. It calculates the standard deviation of the amount of cereal sugar consumed by the population of all Puerto Ricans who eat cereal (Triola, 2004). (4 points) Question #3 1) The monthly salary of five (5) employees of a pharmaceutical company was as follows: $3,667, $4,935, $3,876, $4,700 and $3,178. What should be the standard deviation value for that data? (4 points) Question #4 1) The waiting times of eight (8) patients to be seen in a medical office, expressed in minutes were as follows: 34, 56, 48, 29, 33, 44, 51, 65. Calculate the following: range, variance and standard deviation. (6 points) Question #5 1) The ages of the top 10 actresses in Hollywood are as follows: 37, 48, 56, 66, 55, 60, 52, 54, 48, 69. Use the 10 ages of the best actresses to calculate the interquartile range. (6 points) Question #6 1) Use the following sample data to calculate the coefficient of variation for each sample, then compare the results. (6 points) Weight of students of both sexes of NUC University: 132, 185, 167, 220, 155, 141, 150. Size in inches of babies at birth: 12, 15.3, 11, 10, 16, 13.5, 14.8 Question #7 2) The frequency distribution presented describes the speed at which young people drove to get to college to take their classes. These young men were driving on a road with a speed limit of 35 mi/h. Calculate the variance and standard deviation. (6 points) Question #8 Velocity Frequency 42-45 20 46-49 13 50-53 8 54-57 4 58-61 3 1) The following sample data are presented: 1.8, 1.9, 1.8, 2.4, 5.1, 3.1, 5.5, 5.1, 8.3, 13.7, 5.3, 4.9, 3.7, 3.8, 9.8. Calculate the following: a) Average (3 points) b) fashion (2 points) c) Medium (2 points) d) Middle axis (4 points) e) Rank (2 points) f) Variance (4 points) g) standard deviation (2 points)