Dispersion measures Instructions: In this task we will work with dispersion measures. You will calculate dispersion...

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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) 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)