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Section 5.7, Describing Spread: The Standard Deviation
Guided Notes
Directions: Fill in the blanks and answer any questions as you read along with Section 5.7, Describing
Spread: The S
THE NORMAL CURVE
68-95-99.7 Rule
+/- 1 Standard Deviation: 68%
+/- 2 Standard Deviation: 95%
+/- 3 Standard Deviation: 99.7%
This curve is used for sampling in mathematical statistics
Notes: Stem Plots
Stem plot
o A display of the distribution of a variable that attaches the final digits of the observation as
leaves on stems made up of all but the final digit, usually for small se
Notes: Standard Ballots
A standard ballot is a ballot that lists choices (or candidates) and the voter selects one.
There are two types of standard ballots:
1. Majority Rules
a. Majority rules ballots
Ordinal Ballots- ask the voters to rank their preferences by assigning a number to each
candidate.
Preference Schedule- The finished list ranking each voters preferences
There are two ways ordinal bal
Notes: Measures of Centricity
Two Ways to Describe the Center: Mean and Median
o Mean average value
Ordinary arithmetic average of a set of observations, average value.
To find mean of a set of obse
Notes: Constructing a Histogram
Histogram: The graph of the distribution of outcomes (often divided into classes) for a single variable.
Steps in Making a Histogram
o Choose the classes by dividing
Hamilton Method of Apportionment
I. To apportion with Hamiltons method, we require the following information:
1. Number of individuals in each category (state, county, grade, etc) as well as the whole
Name:
Discrete Math Final Exam Review Questions
Number Theory
1. Add the following base 2 numbers in base 2: 101101 + 111 =
. =3 %
2mm 1
1% l
g 1 {:21 33%
1
2. Subtract the following base 2 numb
Cardinal Ballots
Cardinal Ballot- asks voters to rank their choices on a predetermined scale. This might tell you
that a person likes one option only a little more than another but WAY more than a thi
Notes: 5 Number Summary
Include Spread and Center to Better Describe a Distribution
o Range States the smallest and largest observations.
o Quartiles The center and the middle of the top and bottom ha