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The standard deviation, The standard deviation, ,is a measure of how far scores deviate from A) the median. B) each other. C) the mean. D) the most frequently occurring score. ,is a measure of how far scores deviate from


A) the median.
B) each other.
C) the mean.
D) the most frequently occurring score.

E) B) and C)
F) A) and B)

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The average of the deviations, The average of the deviations, ,can never actually be computed.Why? A) You cannot subtract the mean from every number in the sample. B) When you subtract the mean from some numbers,you get negative numbers. C) The sum of all deviations from the mean always equals zero. D) The actual N is never truly known. ,can never actually be computed.Why?


A) You cannot subtract the mean from every number in the sample.
B) When you subtract the mean from some numbers,you get negative numbers.
C) The sum of all deviations from the mean always equals zero.
D) The actual N is never truly known.

E) A) and D)
F) None of the above

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The standard deviation is always


A) twice as large as the variance.
B) half as large as the variance.
C) the square of the variance.
D) the square root of the variance.

E) A) and B)
F) B) and D)

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Sample standard deviation is defined as the square root of the


A) average of the deviations around the mean.
B) average of the squared deviations around the mean.
C) sum of the deviations around the mean.
D) sum of the squared deviations around the mean.

E) A) and D)
F) C) and D)

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The variance can never be


A) greater than the standard deviation.
B) zero.
C) a negative number.
D) greater than the mean.

E) C) and D)
F) B) and C)

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A group of 10 students participated in a study of nutritional awareness.What is the sample variance A group of 10 students participated in a study of nutritional awareness.What is the sample variance of their scores? 20,19,22,20,15,18,15,21,19,20 A) 2.21 B) 2.33 C) 4.89 D) 5.43 of their scores? 20,19,22,20,15,18,15,21,19,20


A) 2.21
B) 2.33
C) 4.89
D) 5.43

E) All of the above
F) A) and C)

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Of the three kinds of variances,which use(s) N 1 in the final division?


A) The estimated population variance Of the three kinds of variances,which use(s) N <font face= symbol ></font> 1 in the final division? A) The estimated population variance B) The sample variance C) The population variance D) All three
B) The sample variance Of the three kinds of variances,which use(s) N <font face= symbol ></font> 1 in the final division? A) The estimated population variance B) The sample variance C) The population variance D) All three
C) The population variance Of the three kinds of variances,which use(s) N <font face= symbol ></font> 1 in the final division? A) The estimated population variance B) The sample variance C) The population variance D) All three
D) All three

E) All of the above
F) A) and D)

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If you see the notation If you see the notation you should A) sum all the Xs,then square the sum. B) square all the Xs,then sum the squares. C) sum the Xs,then divide by 2. D) divide all the Xs by 2. you should


A) sum all the Xs,then square the sum.
B) square all the Xs,then sum the squares.
C) sum the Xs,then divide by 2.
D) divide all the Xs by 2.

E) None of the above
F) C) and D)

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In a positively skewed distribution,the estimated population variance In a positively skewed distribution,the estimated population variance will be _____ than the estimated population standard deviation .In a negatively skewed distribution the estimated population variance will be _____ than the estimated population standard deviation . A) smaller;smaller B) smaller;larger C) larger;smaller D) larger;larger will be _____ than the estimated population standard deviation In a positively skewed distribution,the estimated population variance will be _____ than the estimated population standard deviation .In a negatively skewed distribution the estimated population variance will be _____ than the estimated population standard deviation . A) smaller;smaller B) smaller;larger C) larger;smaller D) larger;larger .In a negatively skewed distribution the estimated population variance In a positively skewed distribution,the estimated population variance will be _____ than the estimated population standard deviation .In a negatively skewed distribution the estimated population variance will be _____ than the estimated population standard deviation . A) smaller;smaller B) smaller;larger C) larger;smaller D) larger;larger will be _____ than the estimated population standard deviation In a positively skewed distribution,the estimated population variance will be _____ than the estimated population standard deviation .In a negatively skewed distribution the estimated population variance will be _____ than the estimated population standard deviation . A) smaller;smaller B) smaller;larger C) larger;smaller D) larger;larger .


A) smaller;smaller
B) smaller;larger
C) larger;smaller
D) larger;larger

E) B) and C)
F) A) and B)

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Measures of variability are used to


A) describe the extent to which scores in a distribution differ from one another.
B) describe the extent to which scores in a distribution differ from the extreme scores.
C) make appropriate decisions regarding graph size,shape,and style.
D) describe measures of central tendency.

E) A) and B)
F) All of the above

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What is the range of the following data? 15,9,17,12,15,19,18,15,16,10,13


A) 5
B) 10
C) 14.45
D) 15

E) A) and B)
F) B) and C)

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A program evaluator for a large school district wants to study intelligence in the elementary schools.She randomly selects one classroom at each grade level in each elementary school and administers an intelligence test to the children in those classrooms.If the program evaluator wants to predict how well the students will fare in a citywide Academic Bowl tournament,she should


A) calculate the mean and standard deviation for tournament performance.
B) calculate the variance and standard deviation for intelligence.
C) calculate the range and the median for both tournament performance and intelligence.
D) first conduct a study to determine if there is a relationship between intelligence level and tournament performance.

E) B) and C)
F) A) and B)

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D

Multiplying each of the scores in a distribution by a constant


A) multiplies the standard deviation by the same constant.
B) multiplies the standard deviation by half the amount of the constant.
C) multiplies the standard deviation by 34% of the constant.
D) does not change the value of the standard deviation.

E) C) and D)
F) A) and B)

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A doctor wants to know how well elderly patients remember to take their medicine.The doctor measures the percentage of times during the week that patients remembered to take their medicine.For a sample of 10 patients,the mean percentage was 75,with a variance of 15.If the doctor could test his/her entire patient population,what would he/she expect the population variance to be?


A) 3.87
B) 15
C) 16.67
D) 150

E) C) and D)
F) A) and D)

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For the following data set,calculate the estimated population standard deviation. 1.72,4.01,2.55,0.67,1.93,2.05,2.69,3.13,1.22,3.84


A) 1.0243
B) 1.0492
C) 1.0797
D) 1.1659

E) B) and D)
F) C) and D)

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C

Suppose we compute Suppose we compute and find that it is equal to 5.5.How do we interpret this number? A) The numbers in the sample deviate,on the average,5.5 units from one another. B) The numbers in the sample deviate,on the average,5.5 units from the two extreme scores. C) The numbers in the sample deviate,on the average,5.5 units from the mean. D) The numbers in the sample deviate no more than 2.25 units from the mean. and find that it is equal to 5.5.How do we interpret this number?


A) The numbers in the sample deviate,on the average,5.5 units from one another.
B) The numbers in the sample deviate,on the average,5.5 units from the two extreme scores.
C) The numbers in the sample deviate,on the average,5.5 units from the mean.
D) The numbers in the sample deviate no more than 2.25 units from the mean.

E) A) and B)
F) None of the above

Correct Answer

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and are considered biased estimates for the population standard deviation and variance because A) they come from sample data. B) N for the sample is less than N for the population. C) they are not randomly selected. D) they reflect the random variability of only N <font face= symbol ></font> 1 scores. and and are considered biased estimates for the population standard deviation and variance because A) they come from sample data. B) N for the sample is less than N for the population. C) they are not randomly selected. D) they reflect the random variability of only N <font face= symbol ></font> 1 scores. are considered biased estimates for the population standard deviation and variance because


A) they come from sample data.
B) N for the sample is less than N for the population.
C) they are not randomly selected.
D) they reflect the random variability of only N 1 scores.

E) C) and D)
F) None of the above

Correct Answer

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A program evaluator for a large school district randomly selects one classroom at each grade level in each elementary school and administers an intelligence test to the children in those classrooms.She knows from previous research that performance is strongly related to a student's intelligence.If the program evaluator wants to predict how well a new student will fare in this school district,she should


A) calculate the mean and standard deviation of the new student's school performance.
B) calculate the mean and standard deviation for the district's intelligence scores.
C) calculate the range and the median for both intelligence and school performance.
D) conduct further research into the relationship between intelligence level and elementary school performance within her own district.

E) None of the above
F) B) and D)

Correct Answer

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B

For the following data set,calculate the estimated population variance. 1.72,4.01,2.55,0.67,1.93,2.05,2.69,3.13,1.22,3.84


A) 1.0243
B) 1.0492
C) 1.0797
D) 1.1659

E) None of the above
F) B) and C)

Correct Answer

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A cognitive psychologist found that the mean recall of information increased as a function of the extent to which the participants elaborated on the material (none,minimal,extensive) .Also,the standard deviation for each condition was small.What does this suggest about the relationship between the amount of elaboration and recall?


A) A strong relationship exists.
B) A weak relationship exists.
C) No relationship exists.
D) A moderate relationship exists.

E) B) and C)
F) A) and B)

Correct Answer

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