Question 1

Since the mode is the most frequently occurring data value, it

Accepted Answer

A)  can never be larger than the mean. 
B)  is always larger than the median. 
C)  is always larger than the mean. 
D)  none of these alternatives is correct. 
A)  can never be larger than the mean. 
B)  is always larger than the median. 
C)  is always larger than the mean. 
D)  none of these alternatives is correct.

Question 2

From a population of size 400, a random sample of 40 items is selected. The median of the sample

Accepted Answer

A)  must be 200, since 400 divided by 2 is 200. 
B)  must be 10, since 400 divided by 40 is 10. 
C)  must be equal to the median of population, if the sample is truly random. 
D)  none of these alternatives is correct. 
A)  must be 200, since 400 divided by 2 is 200. 
B)  must be 10, since 400 divided by 40 is 10. 
C)  must be equal to the median of population, if the sample is truly random. 
D)  none of these alternatives is correct.

Question 3

From a population of size 500, a random sample of 50 items is selected. The mode of the sample

Accepted Answer

A)  must be 500. 
B)  must be equal to the mode of population, if the sample is truly random. 
C)  must be equal to the mean of the population, if the sample is truly random. 
D)  can be larger, smaller or equal to the mode of the population. 
A)  must be 500. 
B)  must be equal to the mode of population, if the sample is truly random. 
C)  must be equal to the mean of the population, if the sample is truly random. 
D)  can be larger, smaller or equal to the mode of the population.

Question 4

The 75th percentile is referred to as the _____ quartile.

Accepted Answer

A)  first 
B)  second 
C)  third 
D)  fourth 
A)  first 
B)  second 
C)  third 
D)  fourth

Question 5

When should measures of location and dispersion be computed from grouped data rather than from individual data values?

Accepted Answer

A)  As much as possible since computations are easier 
B)  Only when individual data values are unavailable 
C)  Whenever computer packages for descriptive statistics are unavailable 
D)  Only when the data are from a population 
A)  As much as possible since computations are easier 
B)  Only when individual data values are unavailable 
C)  Whenever computer packages for descriptive statistics are unavailable 
D)  Only when the data are from a population

Question 6

The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?

Accepted Answer

UTK's coefficient of variation

Question 7

​The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution can be determined using

Accepted Answer

A)  ​Chebyshev's theorem. 
B)  The empirical rule. 
C)  ​A five-number summary. 
D)  ​Percentiles. 
A)  ​Chebyshev's theorem. 
B)  The empirical rule. 
C)  ​A five-number summary. 
D)  ​Percentiles.

Question 8

The pth percentile is a value such that approximately

Accepted Answer

A)  p percent of the observations are less than the value and (100 - p) percent are more than this value. 
B)  p percent of the observations are less than the value and p percent are more than this value. 
C)  (100 - p) percent of the observations are less than the value and p percent are more than this value. 
D)  (100 - p) percent of the observations are less than the value and (100 - p) percent are more than this value. 
A)  p percent of the observations are less than the value and (100 - p) percent are more than this value. 
B)  p percent of the observations are less than the value and p percent are more than this value. 
C)  (100 - p) percent of the observations are less than the value and p percent are more than this value. 
D)  (100 - p) percent of the observations are less than the value and (100 - p) percent are more than this value.

Question 9

​A box plot is a graphical representation of data that is based on

Accepted Answer

A)  ​the empirical rule. 
B)  ​z-scores. 
C)  ​a histogram. 
D)  ​a five number summary. 
A)  ​the empirical rule. 
B)  ​z-scores. 
C)  ​a histogram. 
D)  ​a five number summary.

Question 10

In 2012, the average donation to the Community Kitchen was $900 with a standard deviation of $180. In 2013, the average donation was $1,600 with a standard deviation of $240. In which year do the donations show a more dispersed distribution?

Accepted Answer

The coefficient of variation i

Question 11

​A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a

Accepted Answer

A)  ​geometric mean. 
B)  ​trimmed mean. 
C)  ​weighted mean. 
D)  ​balanced mean. 
A)  ​geometric mean. 
B)  ​trimmed mean. 
C)  ​weighted mean. 
D)  ​balanced mean.

Question 12

The geometric mean of 3, 4, 6 is

Accepted Answer

A)  2.35. 
B)  3.61. 
C)  4.16. 
D)  8.48. 
A)  2.35. 
B)  3.61. 
C)  4.16. 
D)  8.48.

Question 13

When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.

Accepted Answer

A)  geometric 
B)  weighted 
C)  trimmed 
D)  interquartile 
A)  geometric 
B)  weighted 
C)  trimmed 
D)  interquartile

Question 14

The heights (in inches) of 25 individuals were recorded and the following statistics were calculated mean = 70
Range = 20
Mode = 73
Variance = 784
Median = 74
The coefficient of variation equals

Accepted Answer

A)  11.2%. 
B)  1120%. 
C)  0.4%. 
D)  40%. 
A)  11.2%. 
B)  1120%. 
C)  0.4%. 
D)  40%.

Question 15

In a five number summary, which of the following is not used for data summarization?

Accepted Answer

A)  The smallest value 
B)  The largest value 
C)  The mean 
D)  The median 
A)  The smallest value 
B)  The largest value 
C)  The mean 
D)  The median

Question 16

Which of the following symbols represents the mean of the sample?

Accepted Answer

A)  σ2 
B)  σ 
C)  μ 
D)    
A)  σ2 
B)  σ 
C)  μ 
D)

Question 17

Which of the following is a measure of variability?

Accepted Answer

A)  Percentiles 
B)  Quartiles 
C)  Interquartile range 
D)  Midrange 
A)  Percentiles 
B)  Quartiles 
C)  Interquartile range 
D)  Midrange

Question 18

The measure of dispersion which is not measured in the same units as the original data is the

Accepted Answer

A)  median. 
B)  standard deviation. 
C)  coefficient of determination. 
D)  variance. 
A)  median. 
B)  standard deviation. 
C)  coefficient of determination. 
D)  variance.

Since the mode is the most frequently occurring data value, it

From a population of size 400, a random sample of 40 items is selected. The median of the sample

From a population of size 500, a random sample of 50 items is selected. The mode of the sample

The 75th percentile is referred to as the _____ quartile.

When should measures of location and dispersion be computed from grouped data rather than from individual data values?

The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?

The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution can be determined using

The pth percentile is a value such that approximately

A box plot is a graphical representation of data that is based on

In 2012, the average donation to the Community Kitchen was $900 with a standard deviation of $180. In 2013, the average donation was $1,600 with a standard deviation of $240. In which year do the donations show a more dispersed distribution?

A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a

The geometric mean of 3, 4, 6 is

When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.

The heights (in inches) of 25 individuals were recorded and the following statistics were calculated mean = 70 Range = 20 Mode = 73 Variance = 784 Median = 74 The coefficient of variation equals

In a five number summary, which of the following is not used for data summarization?

Which of the following symbols represents the mean of the sample?

Which of the following is a measure of variability?

The measure of dispersion which is not measured in the same units as the original data is the

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

Exam 3: Descriptive Statistics: Numerical Measures

Since the mode is the most frequently occurring data value, it

From a population of size 400, a random sample of 40 items is selected. The median of the sample

From a population of size 500, a random sample of 50 items is selected. The mode of the sample

The 75th percentile is referred to as the _____ quartile.

When should measures of location and dispersion be computed from grouped data rather than from individual data values?

The grade point average of the students at UTC is 2.80 with a standard deviation of 0.84. The grade point average of students at UTK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution?

​The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution can be determined using

The pth percentile is a value such that approximately

​A box plot is a graphical representation of data that is based on

In 2012, the average donation to the Community Kitchen was $900 with a standard deviation of $180. In 2013, the average donation was $1,600 with a standard deviation of $240. In which year do the donations show a more dispersed distribution?

​A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a

The geometric mean of 3, 4, 6 is

When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.

The heights (in inches) of 25 individuals were recorded and the following statistics were calculated mean = 70 Range = 20 Mode = 73 Variance = 784 Median = 74 The coefficient of variation equals

In a five number summary, which of the following is not used for data summarization?

Which of the following symbols represents the mean of the sample?

Which of the following is a measure of variability?

The measure of dispersion which is not measured in the same units as the original data is the

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Decision Analysis

Index Numbers

Statistical Methods for Quality Control

Sample Survey

Filters

The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution can be determined using

A box plot is a graphical representation of data that is based on

A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a