Exam 3: Numerical Descriptive Measures

TABLE 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: -Referring to Table 3-1,what type of shape does the distribution of the sample appear to have?

When extreme values are present in a set of data,which of the following descriptive summary measures are most appropriate?

TABLE 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: 16,17,18,18,19,20,20,21,21,21,22,22,22,22,23,23,23,23,24,24,24,25,25,26,26,26,27,28,28,29,29,31,31,32,32 Note: For this sample,the sum of the values is 838,and the sum of the squared differences between each value and the mean is 619.89. -Referring to Table 3-4,the first quartile of the customs data is ________.

TABLE 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. 19,19,20,20,22,23,25,26,27,30,33,34,35,36,38,41 Note: For this sample,the sum of the values is 448,and the sum of the squared differences between each value and the mean is 812. -Referring to Table 3-3,the first quartile of the number of vitamin supplements sold in this sample is ________.

TABLE 3-3 The ordered array below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. 19,19,20,20,22,23,25,26,27,30,33,34,35,36,38,41 Note: For this sample,the sum of the values is 448,and the sum of the squared differences between each value and the mean is 812. -Referring to Table 3-3,the standard deviation of the number of vitamin supplements sold in this sample is ________.

TABLE 3-11 Given below are the closing prices for the Dow Jones Industrial Average (DJIA)and the Standard & Poor's (S&P)500 Index over 10 weeks. -Referring to Table 3-11,what is the sample covariance between the DJIA and the S&P 500 index?

TABLE 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: -Referring to Table 3-1 determine the first quartile of the ages of the senior citizens.

TABLE 3-6 The rates of return of an Internet Service Provider over a 10 year period are: 10.25%,12.64%,8.37%,9.29%,6.23%,42.53%,29.23%,15.25%,21.52%,-2.35%. -As a general rule,a value is considered an extreme value if its Z score is greater than 3.

According to the Chebyshev rule,at least 75% of all observations in any data set are contained within a distance of how many standard deviations around the mean?

TABLE 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: 16,17,18,18,19,20,20,21,21,21,22,22,22,22,23,23,23,23,24,24,24,25,25,26,26,26,27,28,28,29,29,31,31,32,32 Note: For this sample,the sum of the values is 838,and the sum of the squared differences between each value and the mean is 619.89. -Referring to Table 3-4,the five-number summary for the data in the customs sample consists of ________,________,________,________,________.

TABLE 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: 16,17,18,18,19,20,20,21,21,21,22,22,22,22,23,23,23,23,24,24,24,25,25,26,26,26,27,28,28,29,29,31,31,32,32 Note: For this sample,the sum of the values is 838,and the sum of the squared differences between each value and the mean is 619.89. -Referring to Table 3-4,the arithmetic mean of the customs data is ________.

TABLE 3-2 The data below represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. 11 15 23 29 19 22 21 20 15 25 17 -Referring to Table 3-2,the third quartile of the carbohydrate amounts is ________ grams.

In exploratory data analysis,a boxplot can be used to illustrate the median,quartiles,and extreme values.

In a perfectly symmetrical bell-shaped "normal" distribution

TABLE 3-5 The rates of return of a Fortune 500 company over the past 15 years are: 3.17%,4.43%,5.93%,5.43%,7.29%,8.21%,6.23%,5.23%,4.34%,6.68%,7.14%,-5.56%,-5.23%,-5.73%,-10.34% -Referring to Table 3-5,what is the shape of the distribution for the rate of return?

TABLE 3-1 Health care issues are receiving much attention in both academic and political arenas.A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid.The ages of 25 senior citizens were as follows: -Referring to Table 3-1,calculate the variance of the ages of the senior citizens correct to the nearest hundredth of a year squared.

TABLE 3-6 The rates of return of an Internet Service Provider over a 10 year period are: 10.25%,12.64%,8.37%,9.29%,6.23%,42.53%,29.23%,15.25%,21.52%,-2.35%. -As a general rule,a value is considered an extreme value if its Z score is less than 3.

A boxplot is a graphical representation of a five-number summary.

According to the Chebyshev rule,at least 93.75% of all observations in any data set are contained within a distance of how many standard deviations around the mean?

TABLE 3-2 The data below represent the amount of grams of carbohydrates in a serving of breakfast cereal in a sample of 11 different servings. 11 15 23 29 19 22 21 20 15 25 17 -Referring to Table 3-2,the five-number summary of the carbohydrate amounts consists of ________,________,________,________,________.