Question 1

The "unbiased" aspect of an unbiased estimator indicates that

Accepted Answer

A)  it holds for all ethnic groups
B)  it underestimates the population value with the same tendency as it overestimates the population value
C)  it works in skewed as well as nonskewed distributions
D)  all of the above B

Question 2

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company.$\begin{array} { r r r r } 
\hline 98,000 & 115,000 & 75,000 & 88,000 \
65,000 & 107,000 & 72,000 & 71,000 \
88,000 & 57,000 & 88,000 & 73,000 \
97,000 & 85,000 & 87,000 & 73,000 \
93,000 & 88,000 & 71,000 & 65,000 \
87,000 & 83,000 & 75,000 & 44,000 \
81,000 & 76,000 & 81,000 & 89,000 \
\hline
\end{array}$
-What is the mode salary (rounded to a whole number)?

Accepted Answer

A)  81,000
B)  81,111
C)  88,000
D)  14,864  C

Question 3

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers.$\begin{array} { c c c c } 
\hline 1500 & 11,000 & 7500 & 800 \
600 & 2350 & 3000 & 3800 \
500 & 6000 & 8000 & 500 \
1750 & 1250 & 50 & 3400 \
9000 & 890 & 1600 & 2200 \
\hline
\end{array}$
-What is the standard deviation of the advertising expenses (rounded to a whole number)?

Accepted Answer

A)  $3284
B)  $3285
C)  $1975
D)  $3241  D

Question 4

Approximately how many students will have IQs greater than 100?

Accepted Answer

A)  118
B)  174
C)  169
D)  237

Question 5

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers.$\begin{array} { c c c c } 
\hline 1500 & 11,000 & 7500 & 800 \
600 & 2350 & 3000 & 3800 \
500 & 6000 & 8000 & 500 \
1750 & 1250 & 50 & 3400 \
9000 & 890 & 1600 & 2200 \
\hline
\end{array}$
-What is the mode advertising expense (rounded to a whole number)?

Accepted Answer

A)  $500
B)  $3285
C)  $1975
D)  $3241

Question 6

Approximately how many students should have IQs greater than 130?

Accepted Answer

A)  9
B)  18
C)  27
D)  36

Question 7

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company.$\begin{array} { r r r r } 
\hline 98,000 & 115,000 & 75,000 & 88,000 \
65,000 & 107,000 & 72,000 & 71,000 \
88,000 & 57,000 & 88,000 & 73,000 \
97,000 & 85,000 & 87,000 & 73,000 \
93,000 & 88,000 & 71,000 & 65,000 \
87,000 & 83,000 & 75,000 & 44,000 \
81,000 & 76,000 & 81,000 & 89,000 \
\hline
\end{array}$
-What is the standard deviation of the salaries (rounded to a whole number)?

Accepted Answer

A)  81,000
B)  81,111
C)  88,000
D)  14,701

Question 8

What is the median for the previous set of scores?

Accepted Answer

A)  22.5
B)  22
C)  23
D)  23.5

Question 9

Which of the following is NOT true of the mean?

Accepted Answer

A)  it is appropriate for normal and skewed distributions
B)  it is the same as the arithmetic average
C)  it belongs in the category of parameters of central tendency
D)  it is considered an unbiased estimator

Question 10

What is the mode score, and what is its frequency?

Accepted Answer

A)  18 and 3
B)  23 and 3
C)  19 and 4
D)  4 and 19

Question 11

Approximately how many students will have at least an IQ of 100 but not greater than 115?

Accepted Answer

A)  68%
B)  169
C)  174
D)  118

Question 12

With respect to the mean and the median values of the previous set of scores, which of the following is true?

Accepted Answer

A)  the median is lower than the mean, suggesting a negative skew
B)  the median is lower than the mean, suggesting a positive skew
C)  the standard deviation is lower than the variance, suggesting a positive skew
D)  both b and c are correct

Question 13

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company.$\begin{array} { r r r r } 
\hline 98,000 & 115,000 & 75,000 & 88,000 \
65,000 & 107,000 & 72,000 & 71,000 \
88,000 & 57,000 & 88,000 & 73,000 \
97,000 & 85,000 & 87,000 & 73,000 \
93,000 & 88,000 & 71,000 & 65,000 \
87,000 & 83,000 & 75,000 & 44,000 \
81,000 & 76,000 & 81,000 & 89,000 \
\hline
\end{array}$
-What is the median of the salaries (rounded to a whole number)?

Accepted Answer

A)  82,000
B)  81,111
C)  88,000
D)  14,864

Question 14

What is the variance (rounded to one decimal place) of the previous set of scores?

Accepted Answer

A)  102.4
B)  102.3
C)  102.368
D)  102

Question 15

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers.$\begin{array} { c c c c } 
\hline 1500 & 11,000 & 7500 & 800 \
600 & 2350 & 3000 & 3800 \
500 & 6000 & 8000 & 500 \
1750 & 1250 & 50 & 3400 \
9000 & 890 & 1600 & 2200 \
\hline
\end{array}$
-What is the mean of the advertising expenses (rounded to a whole number)?

Accepted Answer

A)  $3284
B)  $3285
C)  $1975
D)  $3241

Question 16

What is the range of the previous set of scores?

Accepted Answer

A)  18
B)  64
C)  46
D)  490

Question 17

The most common IQ tests have a standardized mean of 100 and a standard deviation of 15.Based on this information, use the empirical rule to answer the following question: If approximately 348 prospective college students are tested for their IQ, approximately how many will fall within one standard deviation of the mean?

Accepted Answer

A)  345
B)  338
C)  313
D)  237

Question 18

The following is a list of annual advertising expenses (in dollars) for a group of states' mental health centers.$\begin{array} { c c c c } 
\hline 1500 & 11,000 & 7500 & 800 \
600 & 2350 & 3000 & 3800 \
500 & 6000 & 8000 & 500 \
1750 & 1250 & 50 & 3400 \
9000 & 890 & 1600 & 2200 \
\hline
\end{array}$
-What is the median of the advertising expenses (rounded to a whole number)?

Accepted Answer

A)  $3284
B)  $3285
C)  $1975
D)  $3241

Question 19

What is the standard deviation (rounded to one decimal place) for the previous set of scores?

Accepted Answer

A)  10.12
B)  10.11
C)  10.1
D)  10.2

Question 20

The following is a list of annual salaries (in dollars) for a group of mid-level managers in a large company.$\begin{array} { r r r r } 
\hline 98,000 & 115,000 & 75,000 & 88,000 \
65,000 & 107,000 & 72,000 & 71,000 \
88,000 & 57,000 & 88,000 & 73,000 \
97,000 & 85,000 & 87,000 & 73,000 \
93,000 & 88,000 & 71,000 & 65,000 \
87,000 & 83,000 & 75,000 & 44,000 \
81,000 & 76,000 & 81,000 & 89,000 \
\hline
\end{array}$
-The top salary in the previous set was $115,000.Would you consider that salary

Accepted Answer

A)  a klinker
B)  an outlier
C)  neither because it falls well within three standard deviations of the mean

Exam 3: Statistical Parameters: Measures of Central Tendency and Variation

The "unbiased" aspect of an unbiased estimator indicates that

Approximately how many students will have IQs greater than 100?

Approximately how many students should have IQs greater than 130?

What is the median for the previous set of scores?

Which of the following is NOT true of the mean?

What is the mode score, and what is its frequency?

Approximately how many students will have at least an IQ of 100 but not greater than 115?

With respect to the mean and the median values of the previous set of scores, which of the following is true?

What is the variance (rounded to one decimal place) of the previous set of scores?

What is the range of the previous set of scores?

What is the standard deviation (rounded to one decimal place) for the previous set of scores?