Exam 3: Numerical Descriptive Measures

Instruction 3-4 The ordered array below represents the number of cargo manifests approved by customs inspectors at the Port of Brisbane 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 observations is 838, the sum of the squares of the observations is 20,684, and the sum of the squared differences between each observation and the mean is 619.89. -Referring to Instruction 3-4,the third quartile of the customs data is_____________ .

In a set of numerical data,the value for Q2 is always halfway between Q1 and Q3.

What is useful in identifying extreme values or outliers?

The median and interquartile range are resistant measures.

What measures variability in a data set relative to the size of the arithmetic mean?

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 median age of the uninsured senior citizens.

The five-number summary consists of the smallest observation,the first quartile,the median,the third quartile,and the largest observation.

In perfectly symmetrical distributions,which of the following is NOT a correct statement?

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 which of the following is the correct statement.

The_____________ measures the total spread of the data.

The 12-month rate of returns over a nine year period of a particular stock is 0.099,-0.289,0.089,0.226,0.041,0.161,0.064,-0.029 and 0.022.The geometric mean rate of return for this stock is _____________ .

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,how will you classify the linear relationship between the exam scores and the number of energy drinks consumed?

Instruction 3-8 Given below is the frequency distribution of the number of defective tomatoes in 50 different shipments. Defective Items Frequency 0 but less than 5 35 5 but less than 10 7 10 but less than 15 5 15 but less than 20 2 20 but less than 25 1 25 but less than 30 0 -Referring to Instruction 3-8,what is the approximate variance?

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 third quartile of the ages of the uninsured senior citizens.

In a sample of size 40,the sample mean is 15.What is the sum of all observations in the sample?

According to the empirical rule,if the data form a "bell-shaped" normal distribution,_____________ percent of the observations will be contained within 1 standard deviation around the arithmetic mean.

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

The geometric mean is useful in measuring the rate of change of a variable over time.

Instruction 3-5 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 3-5,compute the arithmetic mean rate of return.

Which of the following is sensitive to extreme values?