Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

The sum of the deviations from the mean are always which of the
following?
a.  the range  b.  the standard deviaiton
total  c.  zero  d.  positive 


2.

A national achievement test is administered annually to 9th graders. The test
has a mean score of 100 and a standard deviation of 15. If John’s zscore is 1.20, what was his
score on the test?


3.

Given a mean raw score of 43 and a standard deviation of 3.47, what is the
zscore for a raw score of 48?
a.  1.44  b.  1.44  c. 
0.69  d.  0.69 


4.

Which of the following is the formula for converting a zscore to a raw
score?


5.

Find the standard deviation of 4, 9, 11, 12,
17, 5, 8, 12, 14 assuming a normal distribution.


6.

Find the standard deviation of 1, 1, 1, 4, 7, 7, 7.assuming a normal
distribution.


7.

What can be said about a set of data when its standard deviation is small (but
not zero)?
a.  The data are far apart.  b.  All of the data have the same
value.  c.  The mean of the data can never be zero  d.  The data are close
together. 


8.

The standard deviation of a normally distributed data set is 9. If 50 is 2
standard deviations below the average value of the set, what is the value of the mean?


9.

Which of the following data sets has the smallest standard deviation?
a.  51,52,52,50,50,53,49  b.  55,58,52,50,22,35,42  c.  37,41,33,31,12,24,43  d.  28,34,24,21,8,36,13, 


10.

Sandra had the following scores on her Algebra tests this semester: 100,
85, 55, 95, 75, 100. How many scores are within one standard deviation of the mean?


11.

Find the variance for the following set of numbers: .


12.

Find the variance for the following set of numbers: .


13.

Find the standard deviation to the nearest tenth for the set of numbers: .


14.

Find the variance and standard deviaiotn for the data set: .
a.  variance= 80.18 standard deviation=8.95  b.  variance=
90.75 standard deviation=9.53  c.  variance=210.5
standard deviation=14.51  d.  variance=130 standard
deviation=11.4 


15.

Find the zscore corresponding to a raw score of 132 from a normal distribution
with mean 100 and standard deviation 15.
a.  1.17  b.  1.17  c.  2.133  d.  2.133 


16.

A zscore of 1.7 was found from a normal distribution with mean 14 and standard
deviation 3. Find the raw score.


17.

Calculate the zscore for blood pressure of 140 with a sample mean of 110 and
standard deviation of 10.


18.

Calculate the zscore for blood pressure of 130 with a sample mean of 120 and
standard deviation of 20.


19.

Suppose that SAT scores among seniors are normally distributed with a mean of
500 and a standard deviation of 80. Find the z value for an SAT score of 300.


20.

Suppose that SAT scores among seniors are normally distributed with a mean of
500 and a standard deviation of 60. Find the z value for an SAT score of 680.


21.

Jason found the standard deviation of this set of numbers : .
If he adds 5 to each of the numbers in the data set, how will the standard deviation change?
a.  no change  b.  increases by 5  c.  decreases by
5  d.  increases by 1 


22.

A caterer must hire waiters as needed for private parties. Given are the number
of employees hired each month for a five month period: 4, 13, 5, 6, 9 . What is the
population standard deviation for this data?


23.

In a population of scores, a raw score of 48 has a zscore of 1 and a raw score
of 53 has a zscore of 2. What is the standard deviation of this population?


24.

In a population of scores, a raw score of 72 has a zscore of 1 and a raw score
of 76 has a zscore of 2. What is the mean of this population?


25.

Find the mean absolute deviation of this set: .


26.

While decorating her bedroom, Sandra spent the following amounts: $29, $58, $15,
$129, $75, and $22. Find the mean absolute deviation for her expenses.


27.

Two families have 8 people in each. Given the ages in each family, which
statement best describes the variability of the two
families. Family A: 35,
5, 42, 9, 16, 3, 8,
12
Family B: 1, 5, 29, 3, 7, 35, 6, 9
a.  The variability is the same for both families because they have the same mean
absolute deviations.  b.  Family A has the greater variability because
their mean absolute deviation is the greatest.  c.  Family B has the greater variability because
their mean absolute deviation is the greatest.  d.  There is not enough information to determine
the variability. 


28.

Find the mean absolute deviation for the following set: .


29.

Given forecast errors of 1, 4, 8 and 3, what is the mean absolute
deviation?


30.

Determine the mean absolute deviation of the following weights of five team
members: 56 kg, 78 kg, 90 kg, 82 kg, 94kg,
