Week 1 Assignment: Skewness and Standard Deviation Work Time

Question

Which of the data sets represented by the following histograms has the smallest standard deviation?

Week 1 - Skewness and Standard Deviation

Activity Details

Correct (40)

Incorrect (32)

1. Question: A food processing plant fills snack-sized bags of crackers. The mean number of crackers in each bag is 22and the standard deviation is 2. The factory supervisor selects one bag that contains 24crackers.
2. Question: The following data set represents the ages of all 6 of Nancy's grandchildren.
3. Question: Which of the following frequency tables show a skewed data set? Select all answers that apply.
4. Question: When Stephan moved from Illinois to Florida, his average monthly electric bill increased from $83to $102.  He is curious to know whether his IL or FL electric bill is relatively more or less expensive, when compared to the distribution of electric bills for each state. In Illinois, the mean monthly electric bill is $85, with a standard deviation of $3.20. In Florida, the mean monthly electric bill is $105, with a standard deviation of $4.00.
5. Question: Based on the z-scores calculated above for Stephan's electric bills in IL and FL, in which state is his electric bill higher, when compared to their respective distributions?
6. Question: Which of the data sets represented by the following histograms has the smallest standard deviation?
7. Question: If the median of a data set is 13and the mean is 23, which of the following is most likely?
8. Question: Salvatore, as the director of a regional bank, is concerned about the wait times of customers at the four branches. He randomly selects 48patrons at each branch and records the waiting time for each patron. The results of the samples are shown below.
9. Question: Suppose there is an estate sale featuring many items sold at different prices. The mean selling price of the items is 75dollars, and the standard deviation is 20. A piece of costume jewelry is priced at 15dollars.
10. Question: Interpret Standard Deviation
11. Question: Three high school basketball teams measured the heights of all of their basketball players:
12. Question: Interpreting Standard Deviation From Graphic Displays of  Data
13. Question: Which of the data sets represented by the following histograms has the smallest standard deviation?
14. Question: Which of the data sets represented by the following histograms has the smallest standard deviation?
15. Question: There are thousands of start-up companies launched each year. The following data set represents the number of people employed by five randomly selected small start-up companies:
16. Question: The following data set represents the number of people employed by five randomly selected small start-up companies:
17. Question: Using the following set of data (the same as in the previous problem), 3, 5, 9, 6, 7, we found the sample variance of this data set is 5.
18. Question: The high temperature, in ∘C, on the first day of winter was recorded in a certain city every year from 1915 to 2015. The following six temperature values were randomly selected from the data.
19. Question: The high temperature, in ∘C, on the first day of winter was recorded in a certain city every year from 1915 to 2015. The following six temperature values are a sample chosen from the data.
20. Question: The high temperature, in ∘C, on the first day of winter was recorded in a certain city every year from 1915 to 2015. The following six temperature values are a sample chosen from the data.
21. Question: Calculating Variance and Standard Deviation
22. Question: For the following dataset, you are interested to determine the "spread" of the data.
23. Question: The following data set represents the pulse rate for 5randomly selected players on a football team
24. Question: The heights, in inches, of the four members of a barbershop quartet of singers are listed below. 72,68,67,73 … Find the population variance for this data set. Round to one decimal place if necessary.
25. Question: The heights, in inches, of the members of a barbershop quartet of singers are listed below.

72,68,67,73  ….  If the population variance for this data set is 6.5, what is the standard deviation of the heights of the barbershop quartet? Round your answer to 2 decimal places.

26. Question: In a recent national survey, the mean price for a 2000 sq ft home in Florida is $240,000 with a standard deviation of $16,000. The mean price for the same sized home in Ohio is $170,000with a standard deviation of $12,000.
27. Question: Based on the zscores found above, in which city would a home priced at 200,000be closer to the mean price, compared to the distribution of prices in the city?
28. Question: Using Z-Scores to Compare Data
29. Question: A math class's mean test score is 88.4. The standard deviation is 4.0. If Kimmie scored 85.9, what is her z-score?
30. Question: National results for the SAT test show that for college-bound seniors the average combined SAT Writing, Math and Verbal score is 1500with a standard deviation of 250. National results for the ACT test show that for college-bound seniors the average composite ACT score is 20.4with a standard deviation of 4.8.
31. Question: Based on the zscores found above, on which college entrance exam did Sean perform better, compared to the national distributions for each test?
32. Question: When Natalie moved from Nashville, TN to Philadelphia, PA, her average monthly water bill increased from $32to $47.  She is curious to know whether her TN or PA water bill is relatively more or less expensive, when compared to the distribution of water bills for each city.
33. Question: Based on the z-scores calculated above for Natalie's water bills in TN and PA, in which city is her water bill closer to the city's mean water bill, when compared to their respective distributions?
34. Question: Which of the following box-and-whisker plots shows a skewed data set? Select all answers that apply.
35. Question: Given the following histogram, decide if the data is skewed or symmetric.
36. Question: Skewed Data
37. Question: Which of the following histograms shows a skewed data set? Select all that apply.
38. Question: Given the following histogram, decide if the data is skewed or symmetric.
39. Question: Given the following box-and-whisker plot, decide if the data is skewed or symmetric.
40. Question: Given the following box-and-whisker plot, decide if the data is skewed or symmetric.
41. Question: If the mean of a data set is 32and the median is 36, which of the following is most likely?
42. Question: Which of the following frequency tables shows a skewed data set? Select all answers that apply.
43. Question: Given the following frequency table, decide if the data is skewed or symmetrical.
44. Question: Given the following histogram, decide if the data is skewed or symmetric.
45. Question: You are told that a data set has a mean of 9and a median of 7. Which of the following is a logical conclusion?
46. Question: Which of the following histograms shows a skewed data set? Select all that apply.
47. Question: Skewed Data
48. Question: Which of the following histograms shows a skewed data set?
49. Question: A data set of the population densities of 15 U.S. states has a mean of 154and a median of 94. Which of the following is a logical conclusion?
50. Question: You are told that a data set has a median of 64and a mean of 52. Which of the following is a logical conclusion?
51. Question: You are told that a data set has a median of 35and a mean of 42. Which of the following is a logical conclusion?
52. Question: A data set lists the number of times a machine breaks each month in a clothing factory over the past year. For this data set, the minimum is 4, the median is 14, the third quartile is 17, the interquartile range is 6, and the maximum is 18. Construct a box-and- whisker plot that shows the number of times the machine breaks.
53. Question: A data set lists the number of lab notes written by students during a biology lab. For this data set, the minimum is 2, the first quartile is 13, the median is 14, the third quartile is 15, and the maximum is 18. Construct a box-and-whisker plot that shows the number of lab pages.
54. Question: Based on the box-and-whisker plot you constructed above, what is the interquartile range of the data?
55. Question: Box-and-Whisker Plots
56. Question: Given the following box-and-whisker plot, what is the third quartile of the data?
57. Question: A data set lists the number of red lights Stan encounters as he drives to work each day.
58. Question: For this data set, the minimum is 0, the first quartile is 2, the median is 3, the third quartile is 5, and the maximum is 6.
59. Question: Based on the box-and-whisker plot you constructed above, what is the interquartile range of the data?
60. Question: A data set lists the number of hours part-time employees worked at an ice cream shop per week during the last year. For this data set, the minimum is 3, the first quartile is 5, the median is 7, the third quartile is 9, and the maximum is 19. Construct a box-and-whisker plot that shows the number of hours worked per week.
61. Question: A data set lists the number of times each student raised their hand during an

algebra class. For this data set, the minimum is 1, the first quartile is 8, the median is 10, the interquartile range is 3, and the maximum is 13. Construct a box-and-whisker plot that shows the number of times students raised their hand.

62. Question: The following frequency table summarizes a set of data. What is the five-number summary?
63. Question: The following frequency table summarizes a set of data. What is the five-number summary?
64. Question: Given the following frequency table of data, what is the potential outlier?
65. Question: The five number summary for a set of data is given below.
66. Question: The five number summary for a set of data is given below.
67. Question: Interquartile Range
68. Question: The data set below contains the average low temperature in April for 9 Alaskan cities. What is the interquartile range of this data set?
69. Question: Outliers
70. Question: In the Alaskan temperature data set, what is the outlier, if any?
71. Question: Given the following frequency table of data, what is the potential outlier?
72. Question: Given the following frequency table of data, what is the potential outlier?
73. Question: Given the following frequency table of data, what is the potential outlier?
74. Question: Given the following histogram, decide if the data is skewed or symmetric.
75. Question: If the median of a data set is 14and the mean is 8, which of the following is most likely?
76. Question: Skewed Data
77. Question: Which of the following histograms shows a skewed data set? Select all that apply.
78. Question: Given the following box-and-whisker plot, decide if the data is skewed or symmetric.
79. Question: If the mean of a data set is 20and the median is 25, which of the following is most likely?
80. Question: Given the following histogram for a set of data, how many values in the data set are greater than 10.5but less than 12.5?
81. Question: The speed (in mph) of randomly selected bicyclists were measured as they were approaching a hill. The results are presented in the following histogram.

Activity 17 of 83

Learning Objective

Compute variance and standard deviation

Work Time

Question

There are thousands of start-up companies launched each year. The following data set represents the number of people employed by five randomly selected small start-up companies: 3, 5, 9, 6, 7

To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or population standard deviation for this data set?