Exam 3: Numerical Descriptive Measures

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,what is the range of the rate of return?

According to the Chebyshev rule,at least what percentage of the observations in any data set are contained within 2 standard deviations around the mean?

The median of the values 3.4,4.7,1.9,7.6,and 6.5 is 4.05.

The Z score of a value can never be negative.

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 3-2,the first quartile of the carbohydrate amounts is_____ grams.

SCENARIO 3-7 In a recent academic year,many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition,a shared dormitory room,and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589,$593,$1,223,$869,$423,$1,720,$708,$1425,$922 and $308. -Referring to Scenario 3-7,what is the coefficient of variation of the change in cost?

SCENARIO 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 sometime in the past. -Referring to Scenario 3-11,for the week when the DJIA is high,you will expect the S&P index in that week to

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 3-2,the median carbohydrate amount in the cereal is_____ grams.

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

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: -Referring to Scenario 3-1,calculate the standard deviation of the ages of the senior citizens correct to the nearest hundredth of a year.

The smaller the spread of scores around the arithmetic mean,

SCENARIO 3-8 The period from 2010 to 2013 saw a great deal of volatility in the value of stocks.The data in the following table represent the total rate of return of our companies from 2010 to 2013. -Referring to Scenario 3-8,calculate the geometric mean rate of return per year for Company B.

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 3-4,the coefficient of variation of the customs data is _____percent.

If the data set is approximately bell-shaped,the empirical rule will more accurately reflect the greater concentration of data close to the mean as compared to the Chebyshev rule.

SCENARIO 3-10 The population of eight analysts at a software firm were asked to estimate the reuse rate when developing a new software system.The following data are given as a percentage of the total code written for a software system that is part of the reuse database. 50,62.5,37.5,75.0,45.0,47.5,15.0,25.0 -Referring to Scenario 3-10,what are the variance and standard deviation of the total code that is part of the reuse database?

The Z score of a value measures how many standard deviations the value is from the mean.

SCENARIO 3-7 In a recent academic year,many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition,a shared dormitory room,and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589,$593,$1,223,$869,$423,$1,720,$708,$1425,$922 and $308. -Referring to Scenario 3-7,what are the (absolute values of)the Z scores of the change in cost?

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

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 3-7 In a recent academic year,many public universities in the United States raised tuition and fees due to a decrease in state subsidies.The change in the cost of tuition,a shared dormitory room,and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: $1,589,$593,$1,223,$869,$423,$1,720,$708,$1425,$922 and $308. -Referring to Scenario 3-7,what is the kurtosis statistic of the change in the cost?