Exam 3: Numerical Descriptive Measures

In a perfectly symmetrical bell-shaped "normal" distribution

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,the kurtosis statistic of the number of vitamin supplements sold in this sample is_____ .

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 third quartile of the carbohydrate amounts is_____ grams.

SCENARIO 3-12 Given below are the rating and performance scores of 15 laptop computers. -Referring to Scenario 3-12,how will you classify the linear relationship between the performance scores and the rating?

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 interquartile range of the customs data is_____ .

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,the arithmetic mean of the number of vitamin supplements sold in this sample 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 3-4,the third quartile of the customs data is_____ .

According to the Chebyshev rule,at least what percentage of the observations in any data set are contained within 3 standard deviations around the mean?

If the distribution of a data set were perfectly symmetrical,the distance from Q₁ to the median would always equal the distance from Q₃ to the median in a boxplot.

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?

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 variance of the carbohydrate amounts is_____ (grams squared).

The rate of return for the S&P 500 over a four-year period is -0.029,-0.061,-0.493,and- 0.286.The geometric mean rate of return per year is_____ .

The interquartile range is a measure of variation or dispersion in a set of data.

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 arithmetic mean carbohydrates in this sample is_____ grams.

Which of the following is NOT sensitive to extreme values?

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 right- or left- skewed?

The coefficient of variation is a measure of central tendency in the data.

In a sample of size 40,the sample mean is 15.In this case,the sum of all observations in the sample is $\Sigma$ X_i = 600.

Which descriptive summary measures are resistant statistics?

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 kurtosis statistic for the carbohydrate amount in the cereal is_____.