Statistical cycle, data types, and constraints
Data displays of univariate data
Center, spread, and outliers
Riddles - Think sideways
Disney Characters
Fast Food Items
100
Is “number of pets you own” a categorical or a quantitative variable?
Quantitative (discrete). It is a count, so it makes sense to average it.
100
What type of graphical display is shown, and which five values is it built from?
A boxplot, built from the five-number summary: minimum 42, Q1 60, median 72, Q3 85, maximum 110.
100
Find the median: 3, 7, 8, 12, 20
8
100
What has hands but can’t clap?
A clock.
100
What is the name of Mickey Mouse’s dog?
Pluto.
100
Which restaurant chain sells the Whopper?
Burger King.
200
Which is a statistical question?
A) How tall is Ms. Rivera?
B) How tall are the students in Ms. Rivera’s 3rd period?
B. A statistical question anticipates variability in the answers.
200
Describe the shape of this histogram. Which is likely larger, the mean or the median?
Skewed right. The mean is likely larger than the median because the long right tail pulls the mean up.
200
Find the range and the IQR: 2, 4, 6, 8, 10, 12, 14, 16
Range = 16 − 2 = 14. Q1 = 5, Q3 = 13, so IQR = 8.
200
What has keys but can’t open a single lock?
A piano (or a keyboard).
200
In The Lion King, what is the name of Simba’s father?
Mufasa.
200
Which chain is known for its Frosty dessert?
Wendy’s.
300
Name the four stages of the statistical problem-solving cycle, in order.
Formulate a question, collect (or acquire) data, analyze the data, interpret and communicate the results.
300
Find the median of the data in this stemplot.
33.5. The data are 24, 27, 32, 35, 38, 41, so the median is (32 + 35) ÷ 2.
300
Use the 1.5 × IQR rule to decide whether the value 60 is an outlier.
Yes. IQR = 30 − 20 = 10, upper fence = 30 + 1.5(10) = 45, and 60 > 45.
300
The more of these you take, the more you leave behind. What are they?
Footsteps.
300
In Toy Story, whose name is written on the bottom of Woody’s boot?
Andy.
300
Which chain sells the Crunchwrap Supreme?
Taco Bell.
400
A club surveys 150 of the school’s 2,000 students about lunch. Identify the population and the sample. Is the mean of the 150 responses a parameter or a statistic?
Population: all 2,000 students. Sample: the 150 surveyed. The mean of the 150 responses is a statistic.
400
Describe the cluster, the gap, and any possible outlier in this dot plot of quiz scores.
Cluster from 4 to 7, a gap from 8 to 14, and 15 is a possible outlier (Q1 = 5, Q3 = 7, upper fence = 7 + 1.5(2) = 10).
400
The largest value in this data set changes from 50 to 500. Which measure of center changes more, the mean or the median? Which measure of spread changes more, the standard deviation or the IQR?
The mean and the standard deviation. The median and the IQR are resistant to extreme values.
400
What can travel all around the world while staying in one corner?
A postage stamp.
400
In Aladdin, what is the name of Jafar’s parrot?
Iago
400
The Big Mac comes from which chain, and how many beef patties does it have?
McDonald’s, and two patties.
500
A student wants the average commute time of every worker in Virginia, but has one week and no budget. Name two constraints and revise the question so it can be answered.
Constraints: time, cost, access to the population (also sample size, privacy). Revision example: “What is the typical commute time of teachers at our school?”
500
Use the cumulative relative frequency graph to find the median and the IQR of the commute times.
Median = 72 minutes (0.50). Q1 = 60 (0.25) and Q3 = 85 (0.75), so IQR = 25 minutes.
500
Test scores have a mean of 40 and a standard deviation of 6. Every score is multiplied by 2, then 5 points are added. Find the new mean and standard deviation.
New mean = 2(40) + 5 = 85. New SD = 2(6) = 12. Adding a constant does not change spread; multiplying scales it.
500
I am an odd number. Take away one letter and I become even. What number am I?
Seven (remove the “s” and you get “even”).
500
In Snow White and the Seven Dwarfs, which dwarf never speaks?
Dopey.
500
Five Guys Burgers and Fries opened its first restaurant in 1986 in which Northern Virginia community?
Arlington, Virginia.