Exam 3: Numerical Descriptive Measures

The 12-month rate of returns over a three year period of a particular stock is 0.099, -0.289, and 0.089. The geometric mean rate of return per year for this stock is ________.

TABLE 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 Table 3-7, what is the coefficient of variation of the change in cost?

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.

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.

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

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 arithmetic mean carbohydrates in this sample is ________ grams.

The smaller the spread of scores around the arithmetic mean,

TABLE 3-9 The following table represents the assets in billions of dollars of the five largest bond funds. $\begin{array} { | l | c | } \hline \text { Bond Fund } & \text { Assets (Billions \$) } \\\hline \text { Vanguard GNMA } & 19.5 \\\hline \text { Vanguard Total Bond Mkt. Index } & 16.8 \\\hline \text { Bond Fund of America A } & 13.7 \\\hline \text { Franklin Calif. Tax-Free Inc. A } & 12.8 \\\hline \text { Vanguard Short-Term Corp. } & 10.9 \\\hline\end{array}$ -Referring to Table 3-9, what are the variance and standard deviation for this population?

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, compute the arithmetic mean rate of return per year.

In a perfectly symmetrical bell-shaped "normal" distribution

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

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 3-13 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 Table 3-13, for a student who has consumed a high number of energy drinks within the week prior to the exam, you will expect his/her exam score to

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%. -Referring to Table 3-6, construct a boxplot for the rate of return

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 3-7 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 Table 3-7, what is the standard deviation of the change in the cost?

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%. -Referring to Table 3-6, what is the shape of the distribution for the rate of return?

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, construct a boxplot for the rate of return.

TABLE 3-9 The following table represents the assets in billions of dollars of the five largest bond funds. $\begin{array} { | l | c | } \hline \text { Bond Fund } & \text { Assets (Billions \$) } \\\hline \text { Vanguard GNMA } & 19.5 \\\hline \text { Vanguard Total Bond Mkt. Index } & 16.8 \\\hline \text { Bond Fund of America A } & 13.7 \\\hline \text { Franklin Calif. Tax-Free Inc. A } & 12.8 \\\hline \text { Vanguard Short-Term Corp. } & 10.9 \\\hline\end{array}$ -Referring to Table 3-9, what is the mean for this population of the five largest bond funds?

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 third quartile of the customs data is ________.