Download Final Exam Review

Final Exam Review-A
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Data and Where to Get it?
Give 3 examples of different types of data you can find in a classroom.
What is a convenience sample?
Give an example of a convenience sample.
Why don't we just do a census every time we want to know something?
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Representations of Data
Data can be represented in __________________, _________________, and ________________.
Name a good source of data besides your classroom.
All graphs require ________________, _________________, and _________________ .
Venn Diagrams
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Is collecting data alone enough?
Venn diagrams provide a handy way of ____________________ .
Draw a Venn diagram representing two disjoint sets.
What does mutually exclusive mean?
Draw a Venn diagram representing intersecting sets.
Percentages
Salaries
Men
40
Women
20
Total
60
Salary >$100,000.00
Salary >$50,000.00 but
50
30
80
<$100,000.00
Salary <$50,000.00
10
50
60
Total
100
100
200
 What percentage of men made more than $50,000.00?
 What percentage of people made less than $50,000.00?
 What percentage of women made less than $100,000.00, but more than $50,000.00?
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Circle Graphs
Create a circle graph of the men's salaries.
Create a circle graph of the women's salaries.
A circle graph ALWAYS contains what percentage of data?
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Line Plots
A line plot is displays ___________ data entry.
How many scales does a line plot use?
Be prepared to construct a line plot for given data.
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Bar Graphs
A bar graph uses how many scales?
Does each individual scale of a bar graph have to use the same spacing?
The spacing on any one scale (must, doesn’t have to) be uniform.
Using a bar graph is more practical for (small, medium, large) data sets.
Bar graphs can be constructed vertically or _____________________ .
The bars in a bar graph (touch, do not touch).
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Line Graphs
Line graphs are constructed using the same scales and labels as (line plots, bar graphs).
Final Exam Review-A
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When do you use dashed lines on a line graph?
When do you use solid lines on a line graph?
Key data would be graphed with a __________________ line.
Measures of the lengths of finger nails would be graphed using a ____________________ line.
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Histograms
The bars in a histogram (touch, do not touch).
A histogram is (similar, identical, nothing like) a bar graph.
A histogram requires data to be organized into ______________________ .
Be prepared to construct a histogram for given data.
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Frequency Polygons
Bar graphs are related to line graphs like histograms are related to ______________________ .
Frequency polygons are constructed using the same scales and labels as (bar graphs, line graphs,
histograms).
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Scatter Plots
______________________ investigate the relationship between two types of data.
When collecting data for a scatter plot, ___________ types of data (is, are) collected from
__________ sources.
Scatter plots are constructed using the same scales and labels as (line plots, line graphs, histograms).
Be prepared to construct a scatter plot from given data.
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Stem and Leaf Plots
Stem and leaf plots are similar to _________________ because you can retrieve all data elements.
Stem and leaf plots organize data in to two categories the _____________ and ________________ .
The leaf portion of a stem and leaf plot can have a maximum of _____________ digit(s).
The stem portion of a stem and leaf plot can have a maximum of ______________ digit(s).
Why is a key required for stem and leaf plots?
Why don’t you need commas between the numbers for a stem and leaf plot?
Be prepared to construct a stem and leaf plot from a given set of data.
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Measures of Central Tendency and Dispersion
Measures of central tendency show where what part of the data is located?
Why do we have different measures of central tendency?
What does dispersion mean mean?
Why is dispersion important?
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Mean
Which measure of central tendency is most commonly used?
Means calculated from our class data would be represented by  or x ? Why?
The means for discrete data should be reported as ________________ numbers.
With discrete data, 4.01 would be rounded to _______________ .
Be prepared to find the mean of a set of data from a line plot or stem and leaf plot.
The mean is sometimes called the _______________________ average.
Every data set has exactly _____________ mean(s).
The mean (is, is not) affected by extreme values.
Give an example of where mean is used in the real world. __________________________
Be prepared to calculate the mean for a given set of data.
Final Exam Review-A
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Median
The median is sometimes called the _______________________ average.
What must you do to a set of data before attempting to find the median?
The median (is, is not) affected by extreme values.
Give an example of where median is used in the real world.
Can the mean and the median be the same number?
Can the mean and the median be different numbers?
Every data set has exactly _____________ median(s).
Be prepared to find the median of a set of data from a line plot or stem and leaf plot.
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Mode
Every data set has exactly _____________ mode(s).
Give an example of where mode is used in the real world.
The mode (is, is not) affected by extreme values.
Be prepared to find the mode of a set of data from a line plot or stem and leaf plot.
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Range
The __________________ is the most common measure of dispersion.
How do you calculate the range for a given set of data?
The range (is, is not) affected by extreme values.
Be prepared to find the range of a set of data from a line plot or stem and leaf plot.
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Variance
Variance (is, is not) effected as strongly as the range by extreme values.
Sample variance is represented by (s2, 2), while the population variance is represented by (s2, 2).
How many ways did we figure out in class to find variance?
I will give you the variance on the test, but you will need to calculate the standard deviation. 
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Standard Deviation
The ___________ and ________________ are necessary and sufficient to summarize a data set.
68% of a data set is between __________________.
95% of a data set is between __________________.
99% of a data set is between __________________.
Outliers are data entries outside of __________ standard deviations.
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Quartiles
Are associated with _______________________.
Percentiles should only be used for __________________________ data sets.
50th percentile is associated with the median or the _______________ quartile.
Box and whisker plot is often used to display the results of _____________________ tests.
The first quartile is associated with the ____________________ percentile.
The third quartile is associated with the _____________________ percentile.
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Box and Whisker Plot
The whisker of the box and whisker plot begins at the ________________ and stops at the
___________________.
The box of the box and whisker plot starts at the ______________ and ends at the ______________.
The median is marked (inside, outside) of the box of the box and whisker plot.
How much of the data is found in the area surrounded by the box?
Be prepared to construct a box and whisker plot.
Final Exam Review-A
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Statistics
Based on _________________ from populations.
Samples must be collected properly for statistics to be valid.
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Assumptions
A data set is large enough to assume it is normal if it has at least ___________ data entries.
Every circle graph represents exactly ________________ percent of the data.
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Generalizations
Convenience samples (can, cannot) be generalized to the population.
Statistical assumption violations ________________ conclusions drawn from the data.
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Factorial
_________________ is sometimes referred to as the “countdown” function in the lower grades.
Factorials are (additive, multiplicative) functions in mathematics.
Factorials can be done by __________________ or with a ______________________ .
1000!
is impossible for my calculator, but for me the answer is easy, it is _______________.
999!
People are __________________ than calculators! 
0! Is equal to ___________ by definition.
Permutations
When doing permutations, ____________________ is important.
P(25, 17)
P(7, 7)
How many different arrangements of any two of the three primary and three secondary colors be
made?
There are four students in a group and there are 7 groups entered in a crochet tournament. How
many different ways can the teams win 4 trophies? The students win four trophies?
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Combinations
When doing combinations, order (is, is not) important.
C(25, 17)
C(7, 7)
How many different ways can any two of the three primary and three secondary colors be mixed
together?
How many 7th chords of four notes each can be made from the following scale: CDEFGABC?
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Independent
What is the probability of drawing a face card from a standard deck of playing cards?
What is the probability of rolling a sum of 7 or 11 when rolling two fair dice?
What is the probability of getting at least one head when flipping 4 fair coins?
What is the probability of something that is a sure thing?
What is the probability of something that can never happen?
There are ten marbles in a bag: 5 blue, 2 red, 3 white. P(RWB) with replacement?
What is the probability of NOT drawing a red card or a face card from a standard fair deck of cards?
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Dependent
There are ten marbles in a bag: 5 blue, 2 red, 3 white. P(RWB) without replacement?
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Final Exam Review-A
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What is the probability of drawing an ace and then a KQJ10 of any suit?
What is the probability of NOT drawing an ace and then a KQJ10 of any suit?
Conditional Probability
What is the probability of drawing a face card from a standard deck of playing cards, knowing there
are only red cards left?
What is the probability of rolling a 3 on either die when rolling two dice, knowing the sum is 6?
What is the probability of rolling a 1 on either die when rolling two dice, knowing the sum is 6?
What is the probability of rolling a 1 on either die when rolling two dice, knowing the sum is 8?
What is the probability of rolling a 6 on either die when rolling two dice, knowing the sum is 11?
What is the probability of flipping five coins to get HHTHT, knowing HHT were on the first three?
What is the probability of flipping three coins to get any 2 H and 1 T, knowing one coin landed T?
Odds
What are the odds of getting HH when flipping 2 coins? What is the probability in favor?
What are the odds against getting HH when flipping 2 coins? What is the probability against?
What are the odds of drawing a spade from a deck of cards? Odds against? P(for)? P(against)?
What are the odds against drawing an ace or a face card from a deck of cards? Odds for? P(for)?
P(against)?