Statistic CPT 3 Exam Questions
Correctly Answered.
The geometric mean is the nth root of n observations. - CORRECT ANSWER true
The arithmetic mean is the sum of the observations divided by the total number of observations. -
CORRECT ANSWER true
Three persons earn $8 an hour, six earn $9 an hour, and one earns $12 an hour. The weighted mean
hourly wage is $9. - CORRECT ANSWER true
In a positively skewed distribution, the mode is greater than the median. - CORRECT ANSWER false
The mean deviation is the mean of the actual values of the deviations from the arithmetic mean. -
CORRECT ANSWER false
The variance is the mean of the sum of the squared deviations between each observation and the
median - CORRECT ANSWER false
The standard deviation is the positive square root of the variance. - CORRECT ANSWER true
Chebyshev's Theorem gives the proportion of observations in any data set that occurs within k standard
deviations of the mean, where k is greater than 1.0. - CORRECT ANSWER true
The Empirical states that about 68% of the observation will lie within one standard deviation of the
mean; about 95% of the observations will lie within two standard deviations of the mean; and virtually
all (99.7%) will lie within three standard deviations of the mean. - CORRECT ANSWER true
For a symmetrical distribution, the variance is equal to the standard deviation. - CORRECT ANSWER false
, For which measure of central location will the sum of the deviations of each value from the data's
average will always be zero? - CORRECT ANSWER mean
For a set of grouped or ungrouped data, which measures of central location always have only one value?
- CORRECT ANSWER mean and median
Which measures of central location are not affected by extremely small or extremely large values? -
CORRECT ANSWER Mode and median
What is the relationship among the mean, median and mode in a symmetric distribution? - CORRECT
ANSWER They are all equal
For a data set, half of the observations are always greater than the ________ . - CORRECT ANSWER
Median
What is the lowest level of measurement that a median can be computed? - CORRECT ANSWER Ordinal
For an ungrouped data set with an odd number of observations that have been sorted or arrayed from
smallest to largest values, where is the median located? - CORRECT ANSWER (n + 1)/2
Which measure of central location is used to determine an average annual percent increase? - CORRECT
ANSWER Geometric mean
If a frequency distribution has open-ended intervals at the extremes, which measure of central location
is the most difficult to estimate? - CORRECT ANSWER Mean
Which one of the following is referred to as the population mean? - CORRECT ANSWER b
Fifteen accounting majors had an average grade of 90 on a finance exam. Seven marketing majors
averaged 85, while ten finance majors averaged 93 on the same exam. What is the weighted mean for
the 32 students taking the exam? - CORRECT ANSWER 89.84
Correctly Answered.
The geometric mean is the nth root of n observations. - CORRECT ANSWER true
The arithmetic mean is the sum of the observations divided by the total number of observations. -
CORRECT ANSWER true
Three persons earn $8 an hour, six earn $9 an hour, and one earns $12 an hour. The weighted mean
hourly wage is $9. - CORRECT ANSWER true
In a positively skewed distribution, the mode is greater than the median. - CORRECT ANSWER false
The mean deviation is the mean of the actual values of the deviations from the arithmetic mean. -
CORRECT ANSWER false
The variance is the mean of the sum of the squared deviations between each observation and the
median - CORRECT ANSWER false
The standard deviation is the positive square root of the variance. - CORRECT ANSWER true
Chebyshev's Theorem gives the proportion of observations in any data set that occurs within k standard
deviations of the mean, where k is greater than 1.0. - CORRECT ANSWER true
The Empirical states that about 68% of the observation will lie within one standard deviation of the
mean; about 95% of the observations will lie within two standard deviations of the mean; and virtually
all (99.7%) will lie within three standard deviations of the mean. - CORRECT ANSWER true
For a symmetrical distribution, the variance is equal to the standard deviation. - CORRECT ANSWER false
, For which measure of central location will the sum of the deviations of each value from the data's
average will always be zero? - CORRECT ANSWER mean
For a set of grouped or ungrouped data, which measures of central location always have only one value?
- CORRECT ANSWER mean and median
Which measures of central location are not affected by extremely small or extremely large values? -
CORRECT ANSWER Mode and median
What is the relationship among the mean, median and mode in a symmetric distribution? - CORRECT
ANSWER They are all equal
For a data set, half of the observations are always greater than the ________ . - CORRECT ANSWER
Median
What is the lowest level of measurement that a median can be computed? - CORRECT ANSWER Ordinal
For an ungrouped data set with an odd number of observations that have been sorted or arrayed from
smallest to largest values, where is the median located? - CORRECT ANSWER (n + 1)/2
Which measure of central location is used to determine an average annual percent increase? - CORRECT
ANSWER Geometric mean
If a frequency distribution has open-ended intervals at the extremes, which measure of central location
is the most difficult to estimate? - CORRECT ANSWER Mean
Which one of the following is referred to as the population mean? - CORRECT ANSWER b
Fifteen accounting majors had an average grade of 90 on a finance exam. Seven marketing majors
averaged 85, while ten finance majors averaged 93 on the same exam. What is the weighted mean for
the 32 students taking the exam? - CORRECT ANSWER 89.84
