Question 1

The mathematical term Σ x is the numerator for

Accepted Answer

A)  the population mean. 
B)  the sample mean. 
C)  both the population mean and the sample mean. 
D)  none of these; this term is not in the numerator for any calculation. 
A)  the population mean. 
B)  the sample mean. 
C)  both the population mean and the sample mean. 
D)  none of these; this term is not in the numerator for any calculation.

Question 2

The mean is an appropriate measure of central tendency for

Accepted Answer

A)  data that are normally distributed. 
B)  data that are on an interval or ratio scale. 
C)  data in which the mean, median, and mode are equal. 
D)  all of these. 
A)  data that are normally distributed. 
B)  data that are on an interval or ratio scale. 
C)  data in which the mean, median, and mode are equal. 
D)  all of these.

Question 3

The sample mean is symbolized as M; the population mean is symbolized as $\mu$.

Accepted Answer

A) True 
 B)False

Question 4

Adding the same constant to each score in a distribution (or subtracting the same constant from it)will

Accepted Answer

A)  cause the mean to change by that constant. 
B)  not change the mean at all because the same constant is added to or subtracted from each score. 
A)  cause the mean to change by that constant. 
B)  not change the mean at all because the same constant is added to or subtracted from each score.

Question 5

The ______ is the middle value in a distribution of scores that are listed in numeric order.

Accepted Answer

A)  mean 
B)  median 
C)  mode 
D)  range 
A)  mean 
B)  median 
C)  mode 
D)  range

Question 6

The median is the balance point for a distribution.

Accepted Answer

A) True 
 B)False

Question 7

The size of a population is symbolized as ______,whereas the size of a sample is symbolized as ______.

Accepted Answer

A)  $\mu$; M 
B)  M; $\mu$ 
C)  n; N 
D)  N; n 
A)  $\mu$; M 
B)  M; $\mu$ 
C)  n; N 
D)  N; n

Question 8

A researcher records the following data for the number of dreams recalled during a night of sleep for 10 college students: 3,2,4,4,3,1,1,0,2,and 0.Is the mean equal to the median in this example?

Accepted Answer

A)  Yes. 
B)  No; the median is larger than the mean. 
C)  No; the mean is larger than the median. 
D)  There is not enough information to answer this question. 
A)  Yes. 
B)  No; the median is larger than the mean. 
C)  No; the mean is larger than the median. 
D)  There is not enough information to answer this question.

Question 9

A professor grades 120 research papers and reports that the average score was 80%.What do we know about the sum of the differences of these 120 scores from their mean of 80%?

Accepted Answer

A)  The sum of the differences is minimal. 
B)  The sum of the differences is 80%, the same as the mean. 
C)  The sum of the differences is equal to zero. 
D)  It is impossible to know without knowing each of the 120 scores. 
A)  The sum of the differences is minimal. 
B)  The sum of the differences is 80%, the same as the mean. 
C)  The sum of the differences is equal to zero. 
D)  It is impossible to know without knowing each of the 120 scores.

Question 10

A researcher measures the following scores on an assessment: 2,3,7,3,5,6,and 9.In this example,the mean is smaller than the median.

Accepted Answer

A) True 
 B)False

Question 11

A researcher measures the depth (in fathoms)of different points in the ocean affected most by pollution.Based on the scale of measurement for these data,describing the mean depth is appropriate.

Accepted Answer

A) True 
 B)False

Question 12

The median would be used to describe which of the following variables?

Accepted Answer

A)  gender 
B)  ethnicity 
C)  rankings 
D)  brand name 
A)  gender 
B)  ethnicity 
C)  rankings 
D)  brand name

Question 13

The numerator of the sample mean and the population mean is the same.

Accepted Answer

A) True 
 B)False

Question 14

The sum of the squared differences of scores from their mean is

Accepted Answer

A)  minimal. 
B)  zero. 
C)  negative. 
D)  negligible. 
A)  minimal. 
B)  zero. 
C)  negative. 
D)  negligible.

Question 15

Which of the following will decrease the value of the mean?

Accepted Answer

A)  deleting a score below the mean 
B)  adding a score below the mean 
C)  adding a score exactly equal to the mean 
D)  none of these 
A)  deleting a score below the mean 
B)  adding a score below the mean 
C)  adding a score exactly equal to the mean 
D)  none of these

Question 16

The formulas for a population and sample mean only differ by notation; otherwise,these formulas are calculated in the same manner.

Accepted Answer

A) True 
 B)False

Question 17

The mode is always the middle score in a distribution.

Accepted Answer

A) True 
 B)False

Question 18

A researcher records the following data for the number of complaints filed (per day)following a controversial policy change at a local business: 3,8,5,0,4,6,2,1,1,4,2,and 0.Is the mean equal to the median in this example?

Accepted Answer

A)  Yes. 
B)  No; the median is larger than the mean. 
C)  No; the mean is larger than the median. 
D)  There is not enough information to answer this question. 
A)  Yes. 
B)  No; the median is larger than the mean. 
C)  No; the mean is larger than the median. 
D)  There is not enough information to answer this question.

Question 19

The fact that the sum of the differences of scores from their mean is zero best illustrates that

Accepted Answer

A)  the mean is at the center of a distribution. 
B)  the mean is the "balance point" of a distribution. 
C)  the mean is equal to zero. 
D)  the mean can never be negative. 
A)  the mean is at the center of a distribution. 
B)  the mean is the "balance point" of a distribution. 
C)  the mean is equal to zero. 
D)  the mean can never be negative.

Question 20

A researcher selects a sample of six professors,six students,and six administrators at a local school and has them rate the effectiveness of an innovative new teaching style.In this example,is it possible that the weighted mean ratings will equal the arithmetic mean for the entire sample of 18 participants?

Accepted Answer

A)  No, the weighted mean is never exactly equal to the arithmetic mean. 
B)  Yes, because there are an equal number of participants in each sample. 
C)  Yes, because the sample sizes are selected from the same school. 
D)  It is not possible to know this without knowing the mean for each sample. 
A)  No, the weighted mean is never exactly equal to the arithmetic mean. 
B)  Yes, because there are an equal number of participants in each sample. 
C)  Yes, because the sample sizes are selected from the same school. 
D)  It is not possible to know this without knowing the mean for each sample.

The mathematical term Σ x is the numerator for

The mean is an appropriate measure of central tendency for

The sample mean is symbolized as M; the population mean is symbolized as $\mu$ .

Adding the same constant to each score in a distribution (or subtracting the same constant from it)will

The ______ is the middle value in a distribution of scores that are listed in numeric order.

The median is the balance point for a distribution.

The size of a population is symbolized as ,whereas the size of a sample is symbolized as .

A researcher records the following data for the number of dreams recalled during a night of sleep for 10 college students: 3,2,4,4,3,1,1,0,2,and 0.Is the mean equal to the median in this example?

A professor grades 120 research papers and reports that the average score was 80%.What do we know about the sum of the differences of these 120 scores from their mean of 80%?

A researcher measures the following scores on an assessment: 2,3,7,3,5,6,and 9.In this example,the mean is smaller than the median.

A researcher measures the depth (in fathoms)of different points in the ocean affected most by pollution.Based on the scale of measurement for these data,describing the mean depth is appropriate.

The median would be used to describe which of the following variables?

The numerator of the sample mean and the population mean is the same.

The sum of the squared differences of scores from their mean is

Which of the following will decrease the value of the mean?

The formulas for a population and sample mean only differ by notation; otherwise,these formulas are calculated in the same manner.

The mode is always the middle score in a distribution.

A researcher records the following data for the number of complaints filed (per day)following a controversial policy change at a local business: 3,8,5,0,4,6,2,1,1,4,2,and 0.Is the mean equal to the median in this example?

The fact that the sum of the differences of scores from their mean is zero best illustrates that

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Variability

Probability

Probability, normal Distributions, and Z Scores

Probability and Sampling Distributions

Hypothesis Testing: Significance,effect Size,and Power

Testing Means: One-Sample and Two-Independent-Sample T Tests

Testing Means: Truehe Related-Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated-Measuresdesign

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Chi-Square Tests

Nonparametric Tests: Tests for Ordinal Data

Filters

Exam 3: Summarizing Data: Central Tendency

The mathematical term Σ x is the numerator for

The mean is an appropriate measure of central tendency for

The sample mean is symbolized as M; the population mean is symbolized as μ\muμ .

Adding the same constant to each score in a distribution (or subtracting the same constant from it)will

The ______ is the middle value in a distribution of scores that are listed in numeric order.

The median is the balance point for a distribution.

The size of a population is symbolized as ______,whereas the size of a sample is symbolized as ______.

A researcher records the following data for the number of dreams recalled during a night of sleep for 10 college students: 3,2,4,4,3,1,1,0,2,and 0.Is the mean equal to the median in this example?

A professor grades 120 research papers and reports that the average score was 80%.What do we know about the sum of the differences of these 120 scores from their mean of 80%?

A researcher measures the following scores on an assessment: 2,3,7,3,5,6,and 9.In this example,the mean is smaller than the median.

A researcher measures the depth (in fathoms)of different points in the ocean affected most by pollution.Based on the scale of measurement for these data,describing the mean depth is appropriate.

The median would be used to describe which of the following variables?

The numerator of the sample mean and the population mean is the same.

The sum of the squared differences of scores from their mean is

Which of the following will decrease the value of the mean?

The formulas for a population and sample mean only differ by notation; otherwise,these formulas are calculated in the same manner.

The mode is always the middle score in a distribution.

A researcher records the following data for the number of complaints filed (per day)following a controversial policy change at a local business: 3,8,5,0,4,6,2,1,1,4,2,and 0.Is the mean equal to the median in this example?

The fact that the sum of the differences of scores from their mean is zero best illustrates that

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Variability

Probability

Probability, normal Distributions, and Z Scores

Probability and Sampling Distributions

Hypothesis Testing: Significance,effect Size,and Power

Testing Means: One-Sample and Two-Independent-Sample T Tests

Testing Means: Truehe Related-Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated-Measuresdesign

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Chi-Square Tests

Nonparametric Tests: Tests for Ordinal Data

Filters

The sample mean is symbolized as M; the population mean is symbolized as $\mu$ .

The size of a population is symbolized as ,whereas the size of a sample is symbolized as .