Outliers Effects
Shape & Summary Stats
Five-Number Showdown
NFL
Riddles
100

This summary statistic (the average) is heavily pulled or distorted when an extreme high or low value is added to a dataset

What is the mean?

100

 These are the two appropriate summary statistics to use when a distribution is symmetric and bell-shaped.

What are the mean and standard deviation (or MAD)?

100

Name all 5 components that make up a Five-Number Summary.

What are Minimum, Q1, Median, Q3, and Maximum?

100

How many quarters are in a football game?

4

100

I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?

What is an echo?

200

Because it only depends on the middle position of ordered data, this middle value is resistant to outlier values.

What is the median?

200

These are the two appropriate summary statistics to use when a distribution is skewed or contains extreme values.

What are the median and interquartile range (IQR)?

200

This value in the five-number summary represents the 50th percentile or middle of the dataset.

What is the median?

200

This is what it's called when the team kicks the ball through the uprights and gets 3 points.

What is a Field Goal

200

The more of me you take, the more you leave behind. What am I?

What are footsteps?

300

: If a student drops a score of 0 from their assignment list, this is what happens to their overall average score.

What is it increases (goes up)?

300

 This term describes a distribution where data values are spread evenly across the entire range, creating a rectangular shape.

What is a uniform distribution?

300

The Interquartile Range (IQR) represents the spread of this middle percentage of the data

What is 50%?

300

This NFL player won a National Championship at Alabama then went on to be QB for Oklahoma before going to the NFL

Who is Jalen Hurts

300

I have cities, but no houses; forests, but no trees; and water, but no fish. What am I?

What is a map?

400

Removing the maximum value from a dataset will drastically change the Maximum and Range, but will have little to no effect on these two statistics.

What are the median and IQR?

400

Calculate the IQR for a dataset with a 5-number summary of: Min = 2, Q1 = 4, Median = 5, Q3 = 7, Max = 15

What is 3?

400

Find Q1 and Q3 for the ordered set: 2, 4, 6, 8, 10, 12, 14, 16.

What are Q1 = 5 (mean of 4 & 6) and Q3 = 13 (mean of 12 & 14)?

400

Scoring 2 points for the defense, this rare play occurs when an offensive player is tackled inside their own end zone.

What is a Safety

400

What can travel around the world while staying in the exact same corner?

What is a stamp?

500

In a dataset that is heavily skewed to the right, this central value will be greater.

What is the mean? (The tail on the right pulls the mean above the median).

500

 Explain why the IQR is paired with the median for skewed data instead of the standard deviation.

 What is because both the median and IQR are resistant to extreme values in the tail?

500

In a box plot, the "box" itself spans from which value to which value of the five-number summary?

What is from Q1 to Q3?

500

During World War II, the Eagles joined with another pro team to complete the season, who was it and what did they call themselves?

Who is the Pittsburgh Steelers and they called themselves the Steagles

500

A man describes his family: "I have as many brothers as sisters, but each of my sisters has twice as many brothers as sisters." How many brothers and sisters are in the family?

What are 4 brothers and 3 sisters? (7 children total)