Exam 4: Numerical Descriptive Techniques

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____________________ techniques give you the big picture of a distribution, and ____________________ techniques give you more precise details.

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NARRBEGIN: Test Scores Test Scores Suppose that an analysis of a set of test scores reveals that: Q1 = 45, Q2 = 85, Q3 = 105.NARREND -{Test Scores Narrative} Calculate the interquartile range. What does this tell you about the data?

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The ____________________ is the least desirable of all the measures of central location.

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Which measures of central location and variability are considered to be resistant to extreme values?

(Multiple Choice)
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NARRBEGIN: Ages of Volunteers Ages of Volunteers The following data represent the ages in years of a sample of 25 volunteers from a charitable organization: 31, 43, 56, 23, 49, 42, 33, 61, 44, 28, 48, 38, 44, 35, 40, 64, 52, 42, 47, 39, 53, 27, 36, 35, and 20.NARREND -{Ages of Volunteers Narrative} Compute the sample variance, and sample standard deviation, and express the numbers in the appropriate units.

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NARRBEGIN: Weights of Police Officer Weights of Police Officers The following data represent the weights in pounds of a sample of 25 police officers: 164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.NARREND -{Weights of Police Officers Narrative} Describe the shape of the distribution of weights based on the quartiles' values.

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In a histogram, the proportion of the total area which must be to the left of the median is less than 0.50 if the distribution is negatively skewed.

(True/False)
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Which of the following statements is true?

(Multiple Choice)
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Quartiles divide the observations in a data set into four parts with the same amount of data in each part.

(True/False)
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What statistics and graphs can you use to look for a relationship between two interval variables?

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Which of the following characteristics apply to achieve graphical excellence?

(Multiple Choice)
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The interquartile range is the difference between the:

(Multiple Choice)
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If two data sets have the same range:

(Multiple Choice)
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NARRBEGIN: 2-Year Investment 2-Year Investment Suppose you make a 2-year investment of $5,000 and it grows by 100% to $10,000 during the first year. During the second year, however, the investment suffers a 50% loss, from $10,000 back to $5,000.NARREND -{2-Year Investment Narrative} Calculate the geometric mean.

(Essay)
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Which of the following statements is true regarding the data set 8, 8, 8, 8, and 8?

(Multiple Choice)
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NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -An online dating service has a quick poll on its website showing the following results. Critique the graph portion of the table. How can it be improved?  NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -An online dating service has a quick poll on its website showing the following results. Critique the graph portion of the table. How can it be improved?  NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -An online dating service has a quick poll on its website showing the following results. Critique the graph portion of the table. How can it be improved?  NARREND -An online dating service has a quick poll on its website showing the following results. Critique the graph portion of the table. How can it be improved? NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -An online dating service has a quick poll on its website showing the following results. Critique the graph portion of the table. How can it be improved?

(Essay)
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If the coefficient of correlation r = 0, there can be no linear relationship between the dependent variable y and the independent variable x.

(True/False)
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NARRBEGIN: Pets Survey Pets Survey A sample of 40 families were asked how many pets they owned. Their responses are summarized in the following table. Number of Pets 0 1 2 3 4 5 Number of Families 3 20 5 4 2 2 NARREND -{Pets Survey Narrative} Explain what the mean, median, and mode tell you about this particular data set.

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The size of a sample is denoted by the letter ____________________, and the size of a population is denoted by the letter ____________________.

(Short Answer)
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Graphical excellence is a term usually applied to techniques that are informative and concise and that impart information clearly to their viewers.

(True/False)
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