Exam 3: Numerical Descriptive Measures

Instruction 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 who have no private health insurance. The ages of 25 uninsured 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 Instruction 3-1,identify the first quartile of the ages of the uninsured senior citizens.

Instruction 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 who have no private health insurance. The ages of 25 uninsured 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 Instruction 3-1,calculate the coefficient of variation of the ages of the uninsured senior citizens.

Which of the following statements about the median is NOT true?

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?

Instruction 3-10B The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Stem Leaves 1 99 2L 0023 2H 567 3L 034 3H 568 4L 1 -Referring to Instruction 3-10B,construct a box-and-whisker plot for the data in this sample.

If the arithmetic mean of a numerical data set exceeds the median,the data are considered to be _____________ skewed.

Instruction 3-2 The data below represents 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 Instruction 3-2,the third quartile of the carbohydrate amounts is _____________ grams.

When preparing statistical information,it is important to be conscious of errors in the subjectivity of your_____________ .

Instruction 3-15 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-grams energy drinks consumed by 10 college students within a week prior to the exam. 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 Instruction 3-15,what is the sample correlation coefficient between the exam scores and the number of energy drinks consumed?

Instruction 3-2 The data below represents 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 Instruction 3-2,the median carbohydrate amount in the cereal is _____________ grams.

Instruction 3-14 Given below are the rating and performance scores of 15 laptop computers. Performanc e Score 115 191 153 194 236 184 184 216 185 183 189 202 192 141 Overall Rating 74 78 79 80 84 76 77 92 83 78 77 78 78 73 -Referring to Instruction 3-14,for a laptop computer that has a high rating,you will expect its performance score to_____________ .

Instruction 3-2 The data below represents 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 Instruction 3-2,the coefficient of variation of the carbohydrate amounts is _____________ percent.

Instruction 3-12 The rate of return of a listed Australian 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 Instruction 3-12,construct a box-and-whisker plot for the rate of return.

Instruction 3-14 Given below are the rating and performance scores of 15 laptop computers. Performanc e Score 115 191 153 194 236 184 184 216 185 183 189 202 192 141 Overall Rating 74 78 79 80 84 76 77 92 83 78 77 78 78 73 -Referring to Instruction 3-14,what is the sample covariance between the performance scores and the rating?

Instruction 3-3 The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Stem Leaves 1H 99 2L 0023 2H 567 3L 034 3H 568 4L 1 Note (1): 1H means the "high teens" = 15, 16, 17, 18, or 19; 2L means the "low twenties" = 20, 21, 22, 23, or 24; 2H means the "high twenties" = 25, 26, 27, 28, or 29, etc. Note (2): For this sample, the sum of the observations is 448, the sum of the squares of the observations is 13,356, and the sum of the squared differences between each observation and the mean is 812. -Referring to Instruction 3-3,the interquartile range of the number of vitamin supplements sold in this sample is_____________ .

The_________is a measure of how a set of data is clustered or distributed around its mean.

Instruction 3-3 The stem-and-leaf display below represents the number of vitamin supplements sold by a health food store in a sample of 16 days. Stem Leaves 1H 99 2L 0023 2H 567 3L 034 3H 568 4L 1 Note (1): 1H means the "high teens" = 15, 16, 17, 18, or 19; 2L means the "low twenties" = 20, 21, 22, 23, or 24; 2H means the "high twenties" = 25, 26, 27, 28, or 29, etc. Note (2): For this sample, the sum of the observations is 448, the sum of the squares of the observations is 13,356, and the sum of the squared differences between each observation and the mean is 812. -Referring to Instruction 3-3,the standard deviation of the number of vitamin supplements sold in this sample is _____________ .

In a right-skewed distribution the median is less than the arithmetic mean.

Instruction 3-7 Given below is the frequency distribution of the 12-month rate of return achieved by 30 stocks. 12-month Rate of Return Number of Funds -0.10 but less than 0.0 3 0.0 but less than 0.1 5 0.1 but less than 0.2 6 0.2 but less than 0.3 10 0.3 but less than 0.4 6 -Referring to Instruction 3-7,what is the approximate standard deviation?

Instruction 3-13 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 Instruction 3-13,construct a box-and-whisker plot for the rate of return.