Question 1

The interquartile range is _____.

Accepted Answer

A)  the 50th percentile 
B)  another name for the variance 
C)  the difference between the largest and smallest values 
D)  the difference between the third and first quartiles 
A)  the 50th percentile 
B)  another name for the variance 
C)  the difference between the largest and smallest values 
D)  the difference between the third and first quartiles D

Question 2

If the data distribution is symmetric, the skewness is _____.

Accepted Answer

A)  0 
B)  .5 
C)  1 
D)  None of the answers is correct. 
A)  0 
B)  .5 
C)  1 
D)  None of the answers is correct. A

Question 3

Since the median is the middle value of a data set, it must always be _____.

Accepted Answer

A)  smaller than the mode 
B)  larger than the mode 
C)  smaller than the mean 
D)  None of the answers is correct. 
A)  smaller than the mode 
B)  larger than the mode 
C)  smaller than the mean 
D)  None of the answers is correct. D

Question 4

The symbol σ is used to represent the _____.

Accepted Answer

A)  variance of a population 
B)  standard deviation of a sample 
C)  standard deviation of a population 
D)  variance of a sample 
A)  variance of a population 
B)  standard deviation of a sample 
C)  standard deviation of a population 
D)  variance of a sample

Question 5

Explain why Chebyshev's theorem cannot be used for one standard deviation from the mean.

Accepted Answer

Chebyshev's Theorem requires a

Question 6

When the data are positively skewed, the mean will usually be _____.

Accepted Answer

A)  less than the median 
B)  greater than the median 
C)  less than the mode 
D)  greater than the mode 
A)  less than the median 
B)  greater than the median 
C)  less than the mode 
D)  greater than the mode

Question 7

The measure of variability easiest to compute, but seldom used as the only measure, is the _____.

Accepted Answer

A)  range 
B)  interquartile range 
C)  standard deviation 
D)  variance 
A)  range 
B)  interquartile range 
C)  standard deviation 
D)  variance

Question 8

Which of the following symbols represents the standard deviation of a population?

Accepted Answer

A)  ? 2 
B)  ? 
C)  ? 
D)  $\bar { x }$ 
A)  ? 2 
B)  ? 
C)  ? 
D)  $\bar { x }$

Question 9

A numerical measure computed from a sample, such as sample mean, is known as a _____.

Accepted Answer

A)  population parameter 
B)  sample parameter 
C)  sample statistic 
D)  population statistic 
A)  population parameter 
B)  sample parameter 
C)  sample statistic 
D)  population statistic

Question 10

Excel's _____ function can be used to compute the data value occurring most frequently.

Accepted Answer

A)  MAX 
B)  AVERAGE 
C)  MEDIAN 
D)  MODE.SNGL 
A)  MAX 
B)  AVERAGE 
C)  MEDIAN 
D)  MODE.SNGL

Question 11

The mean of the sample _____.

Accepted Answer

A)  is always larger than the mean of the population from which the sample was taken 
B)  is always smaller than the mean of the population from which the sample was taken 
C)  can never be zero 
D)  None of the answers is correct. 
A)  is always larger than the mean of the population from which the sample was taken 
B)  is always smaller than the mean of the population from which the sample was taken 
C)  can never be zero 
D)  None of the answers is correct.

Question 12

The correlation coefficient _____.

Accepted Answer

A)  is the same as the covariance 
B)  can be larger than 1 
C)  cannot be larger than 1 
D)  cannot be negative 
A)  is the same as the covariance 
B)  can be larger than 1 
C)  cannot be larger than 1 
D)  cannot be negative

Question 13

The correlation coefficient ranges from which two values?

Accepted Answer

A)  0 and 1 
B)  −1 and +1 
C)  minus infinity and plus infinity 
D)  1 and 100 
A)  0 and 1 
B)  −1 and +1 
C)  minus infinity and plus infinity 
D)  1 and 100

Question 14

Which of the following symbols represents the mean of a population?

Accepted Answer

A)  ? 2 
B)  ? 
C)  ? 
D)  $\bar { x }$ 
A)  ? 2 
B)  ? 
C)  ? 
D)  $\bar { x }$

Question 15

An important numerical measure related to the shape of a distribution is the _____.

Accepted Answer

A)  correlation coefficient 
B)  variance 
C)  skewness 
D)  relative location 
A)  correlation coefficient 
B)  variance 
C)  skewness 
D)  relative location

Question 16

If the variance of a data set is correctly computed with the formula using n − 1 in the denominator, which of the following is true?

Accepted Answer

A)  The data set is a sample. 
B)  The data set is a population. 
C)  The data set could be either a sample or a population. 
D)  The data set is from a census. 
A)  The data set is a sample. 
B)  The data set is a population. 
C)  The data set could be either a sample or a population. 
D)  The data set is from a census.

Question 17

The median of a sample will always equal the _____.

Accepted Answer

A)  mode 
B)  mean 
C)  50th percentile 
D)  All of the answers are correct. 
A)  mode 
B)  mean 
C)  50th percentile 
D)  All of the answers are correct.

Question 18

Use Excel to make a box plot of the following data:
​ $$\begin{array} { l l l l l } 
115 & 191 & 153 & 194 & 236 \
184 & 216 & 185 & 183 & 202
\end{array}$$

Accepted Answer

The answer of Use Excel to make a box plot...

Question 19

After the data have been arranged from smallest value to largest value, the value in the middle is called the _____.

Accepted Answer

A)  range 
B)  median 
C)  mean 
D)  None of the answers is correct. 
A)  range 
B)  median 
C)  mean 
D)  None of the answers is correct.

Question 20

Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context.

Accepted Answer

Since Hayden's z-score is positive, he s

Exam 3: Descriptive Statistics: Numerical Measures

The interquartile range is _____.

If the data distribution is symmetric, the skewness is _____.

Since the median is the middle value of a data set, it must always be _____.

The symbol σ is used to represent the _____.

Explain why Chebyshev's theorem cannot be used for one standard deviation from the mean.

When the data are positively skewed, the mean will usually be _____.

The measure of variability easiest to compute, but seldom used as the only measure, is the _____.

Which of the following symbols represents the standard deviation of a population?

A numerical measure computed from a sample, such as sample mean, is known as a _____.

Excel's _____ function can be used to compute the data value occurring most frequently.

The mean of the sample _____.

The correlation coefficient _____.

The correlation coefficient ranges from which two values?

Which of the following symbols represents the mean of a population?

An important numerical measure related to the shape of a distribution is the _____.

If the variance of a data set is correctly computed with the formula using n − 1 in the denominator, which of the following is true?

The median of a sample will always equal the _____.

Use Excel to make a box plot of the following data: ​ 115 191 153 194 236 184 216 185 183 202

After the data have been arranged from smallest value to largest value, the value in the middle is called the _____.

Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context.

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

Tests of Goodness of Fit, Independence, and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Use Excel to make a box plot of the following data: 115 191 153 194 236 184 216 185 183 202