Exam 3: Numerical Descriptive Measures

Which of the following is NOT sensitive to extreme values?

You were told that the 1st, 2nd and 3rd quartiles of female students' weight at a major university are 95 lbs., 125 lbs., and 138 lbs...What percentage of the students weigh between 95 and 138 lbs...?

The larger the Z score, the farther is the distance from the value to the median.

SCENARIO 3-6 The rate 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\% . -Referring to Scenario 3-6, construct a boxplot for the rate of return

SCENARIO 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 Scenario 3-3, is the number of vitamin supplements sold in this sample leptokurtic or platykurtic?

3-22 Numerical Descriptive Measures 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 Scenario 3-4, the standard deviation of the customs data is .

SCENARIO 3-5 The rate 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 Scenario 3-5, compute the arithmetic mean rate of return per year.

SCENARIO 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: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Scenario 3-1, calculate the kurtosis statistic for the age of the senior citizens accurate to two decimal places.

3-22 Numerical Descriptive Measures 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 Scenario 3-4, the first quartile of the customs data is .

SCENARIO 3-2 The data below represent the number 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 Scenario 3-2, the third quartile of the carbohydrate amounts is grams.

SCENARIO 3-13 Energy drink consumption has continued to gain in popularity since the 1997 debut of Red Bull, the current leader in the energy drink market.Given below are the exam scores and the number of 12- ounce energy drinks consumed within a week prior to the exam of 10 college students. Exam Scores 75 92 84 64 64 86 81 61 73 93 Number of Drinks 5 3 2 4 2 7 3 0 1 0 -Referring to Scenario 3-13, what is the sample covariance between the exam scores and the number of energy drinks consumed?

In right-skewed distributions, which of the following is the correct statement?

In a perfectly symmetrical distribution

SCENARIO 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: 60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92 -Referring to Scenario 3-1, calculate the skewness statistic for the age of the senior citizens accurate to two decimal places.

SCENARIO 3-5 The rate 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 Scenario 3-5, compute the geometric mean rate of return per year for the first four years.

SCENARIO 3-6 The rate 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\% . -Referring to Scenario 3-6, what is the shape of the distribution for the rate of return?

3-22 Numerical Descriptive Measures 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 Scenario 3-4, the range of the customs data is .

SCENARIO 3-2 The data below represent the number 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 Scenario 3-2, the median carbohydrate amount in the cereal is grams.

The geometric mean is a measure of variation or dispersion in a set of data.

Which of the arithmetic mean, median, mode, and geometric mean are resistant measures of central tendency?