Ohio Trivia
Boxplots and Outliers
Measures of Spread
Measures of Center
From the 2sy Review
100
What is the state bird of Ohio?
What is a cardinal
100
Individual data point that falls outside the overall pattern of the graph
What is an Outlier
100
Q3 - Q1
Also, when should we use this measure of variability?
What is interquartile range (IQR)?
We should use it when we have a data set with strong skew or outliers
100
The middle data point, or the average of the two middle data points, if all data is arranged in order
Also, when do we use this measure?
What is median?
We use it when data has strong skew or outliers as it is resistant to these
100
How are histograms different from bar graphs (2 ways)
What is...
-Histograms are for quantitative data, bar graphs are for categorical
-Histograms bars touch, bar graphs they do not
200
Before going into flying, what type of shop did the Wright Brothers own?
What is a bicycle shop
200
How can you tell on a box plot if there is an outlier?
Outliers are plotted individually as dots
200
Maximum-Minimum
Also, when should we use this measure of variability?
What is range
We should use it when there are no other options (ex: we have a histogram and no summary statistics)
200
What you get if you sum all values and divide by the number of data points
Also, when do we use this measure?
What is mean?
We use this measure if data does not have strong skew or outliers
200
List some comparing words you might use when prompted to compare the center of two data sets
What is...
higher, lower, more, less, above, below,...
300
How many counties are in Ohio?
What is 88?
300
What is the IQR for this data? You may need to estimate slightly for Q1 and Q3, show your work.
What is Approximately 48-31=17
300
if a data set is skewed right, which measure of center should be used?
What is the IQR
300
Which measure of center is resistant to outliers?
What is the median (and mode)?
300
What does VSCO stand for and when do you use it?
What is Variability, Shape, Center, Outliers. Use to remember what you need to "describe" or "compare" "distributions" in quantitative data
400
Name one president born in Ohio
Who are
Ulysses S. Grant – Born in Point Pleasant
Rutherford B. Hayes – Born in Delaware
James A. Garfield – Born in Orange Township (now Moreland Hills)
Benjamin Harrison – Born in North Bend
William McKinley – Born in Niles
William Howard Taft – Born in Cincinnati
Warren G. Harding – Born in Corsica (now Blooming Grove
400
Write the TWO inequalities you use to check for LOWER and UPPER outliers
Lower Outlier < Q1-1.5(IQR)
Upper Outlier > Q3+1.5(IQR)
400
If the data does not contain strong skew or outliers, what measure of spread is preferred?
What is standard deviation?
400
The value that occurs most frequently in a given set of data, also called the "peak"
We use it as a last resort only
What is mode?
400
If 200 people were surveyed and 18% said their vehicle was white, how many people surveyed said their vehicle was white?
What is 36 people
500
Ohio is home to what UNESCO World Heritage Site?
What is Hopewell Ceremonial Earthworks
500
For the boxplot on the whiteboard, determine explain whether mean or median should be used for the measure of center, and whether IQR or standard deviation should be used for spread.
Since the boxplot looks to be skewed right with an outlier, we should use median and IQR as they are resistant to outliers
500
What measure of variability requires these steps:
Calculate the average, find the distance between each individual data point and the average, square them, sum them, divide by the number of data points, then square root that
What is the Standard Deviation
500
What are the five numbers given in a "five number summary"?
Also, what visual can we make if we have the five number summary?
What are
minimum, Q1, median, Q3, and maximum?
We can make a boxplot
500
Give an example of a categorical variable that's response would be a number
What is...
-ZIP code, area code/phone number, Social Security Number, address, interval response (ex: age 14-18 or 18-24), any time a number is used in place of a word (ex: enter 1 for yes and 0 for no), Likert scales (1-strongly disagree, 5-strongly agree), education grade levels (1st grade, 2nd grade), student ID numbers, any others?