# Statistics, Analytics, and Distributions

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Research Skills: Assignment 7
Fall 2017
Name: ____________________________
1. Please identify and create an example variable for each of the four scales of measure and
provide for each the name of the variable, the attribute(s). (2 points)
Example: Nominal  Gender (Variable) Attributes: Male, Female, other
Nominal  Example:
Attributes
Ordinal  Example:
Attributes
Interval  Example:
Attributes
Ratio  Example:
Attributes
2. Please fill in the blanks. The most commonly used measures of central tendency are:
______________, _________________, and ____________________.
3. The mean is obtained by ______________ the values and dividing by the _____________.
4. For the following, please indicate which measure of central tendency would be the most
appropriate measure for the most accurate and useful description AND why. (2 points)
a. The ages of students in each class academic class (Freshmen, Sophomore, Junior, Senior)
_______________.
____________________________________________________________________.
b. The cost of housing in a popular and large seaside urban city __________________.
____________________________________________________________________.
5. Measures of dispersion reflect the degree of _________________ away from a
____________________________ in a distribution.
6. The range is a crude measure of dispersion because ___________________________________
__________________________________________________________________.
7. The square root of the variance is called the ______________________________.
8. Consider the following distribution (18, 27, 21, 30, 24), the value 24 is the:
a. Mode
b. Median
c. Mean
d. Q2
e. Median, mean and Q2
d. range
1
Research Skills: Assignment 7
Fall 2017
Name: ____________________________
9. Please find the mean, median, mode, range, variance, standard deviation and interquartile ranges for
each of the problem sets. (8 points)
Problem Set 1)
18, 26, 5, 10, 3, 22, 57, 33, 18, 12, 11, 136, 27, 57, 69, 157, 18, 3
Mean
_
X
Quartiles
Q1
Median
Mode
Range
True middle
number
Most frequently
occurring
number
Max X  Min X
Variance
s2
Sample Variance
X minus
Mean
=d
sX
Sample Standard Deviation s
Standard Deviation
s2

Q2
Q3
10. Please construct a frequency table with the appropriate number of intervals with proportions
for the following example test scores from hypothetical student papers. The total possible on
the pretend exam is 35 points. (2 points)
Scores: 35, 22, 27, 34, 33, 15, 29, 30, 32, 25, 26, 33, 35, 34, 31, 30, 27, 16, 29, 28
2
Research Skills: Assignment 7
Fall 2017
Name: ____________________________
Extra Credit (10 possible points)
1. Which scale of measure has a natural and valid zero? _________________
2. The level of measure in which numerals are used solely for the purpose of classification to
allow counting observations is called: ______________________________
3. Please determine if the following are continuous or discrete. The number votes that can be
cast in a district in a particular election. ________________________
4. Please determine if the following are continuous or discrete. The number of political ads
that can run on air during elections. ________________________
5. Is the range or the interquartile range a more reliable statistic? _____________________
6. A test is said to be reliable if it yields what? ______________________________________
7. A measure is said to be valid to the extent that is does what?________________________
8. Identify the independent and dependent variables:
a. Working in a soup kitchen is an example of building students aptitude toward civic
engagement. As such a researcher wanted to measure the impact of various service
activities (volunteer work, service work, internships, tutoring) in building students
civic engagement aptitude. IV: ____________________ DV: ___________________
b. People complain about the amount of money spent in election campaigns.
Therefore, a researcher set out to examine the impact of money upon the likelihood
of being elected to office. They were interested in measuring the delta between
money spent and election results. IV: ________________ DV: _________________
c. During election season, many volunteers canvass neighborhoods talking to likely
voters and passing out printed materials. A political scientist is interested in
whether or not such activities are predictive measures and a worthy way to utilize
volunteer services. They set up a study to explore various ways volunteer services
are implemented and the outcomes of races.
IV: ____________________ DV: ___________________
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