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AP Statistics

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on 19 May 2017

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Transcript of AP Statistics

Distribution tells us what values a variable takes and how often the value takes the variables.
"S"hape
Tables and Graphs
Types of Data: Quantitative vs. Qualitative
Skewness
This graph demonstrates data that is skewed to the right
This graph demonstrates data that is skewed to the left
When data is skewed there is a longer side of the data that is referred to as the tail
Symmetry
When a graph is symmetric, the data is evenly distributed with an obvious mean with possible outliers.
Symmetric graphs will not demonstrate a tail in either direction
Unimodal
graphs have a single peak.
Bimodal
graphs have two peaks.
Multimodal
graphs have more than two peaks.

A
frequency table
is a table that shows the total outcomes for each category.
A
relative frequency
table shows the percents for each category.
When exploring data the most common graphs are pie charts and bar graphs
Pie graphs use percents like relative frequency tables
Bar graphs uses the totals just like frequency tables

T.W.
Friday, May 19 2017
Vol I, SOCS
WHAT IS S-O-C-S?
Describing Distribution: S-O-C-S
"O"utliers
S-O-C-S is a way to describe the distribution of data. The four components of S-O-C-S include shape, outliers, center and spread. S-O-C-S is used when writing compete concluding contextual sentences to fully co to Mr. Warren that you know EXACTLY what is going on in the problem.
When describing data it is IMPERATIVE to find and point out outliers
To find outliers, one will first find the IQR, which is the Q3 minus the Q1.
Next, one will set up a formula to find the minimum outlier: Q1-(1.5)(IQR)
One will then find the maximum outlier: Q3+(1.5)(IQR)
Any numbers above or below the minimum or maximum number is considered an outlier.
AP Statistics
Quantitative:
Any type of data that can be measured by using numbers
Most of the time there will be a unit of measurement attached to quantitative data
Common units of measure are lbs, inches, ounces, and etc
An example of quantitative data is shoe size

Qualitative:
Any type of data that can be measured by using numbers
Most of the time there will be a unit of measurement attached to quantitative data
Common units of measure are lbs, inches, ounces, and etc
An example of quantitative data is shoe size
An inference is an idea or conclusion that is drawn from evidence and reasoning
"C"enter and "S"pread
Median is a resistant of measure because the middle number is not affected by outliers.
The standard deviation measures the average distance from the mean.
The most common measure of center is the mean. To find the mean, one must add up all the numbers and divide them. The median can also determine the center.

To find the spread of the data one can use standard deviation and the interquartile range
A five number summary of a distribution includes the minimum, quartile 1, median, quartile 3, and the maximum.
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