Statistical Questions + Vocabulary
This type of question anticipates different answers and variability.
What is a statistical question?
Find the mean: 12, 8, 10, 14, 6
What is 10?
Find the range: 15, 3, 17, 9, 12
What is 14?
A graph with dots above a number line.
What is a dot plot?
A value much higher or lower than the rest.
What is an outlier?
A distribution where both sides are mirror images.
What is symmetrical?
Q1 = 14, Q3 = 26. Find the IQR.
What is 12?
“How old am I?” is this type of question.
What is a non-statistical question?
Find the median: 11, 3, 9, 5, 7
What is 7?
Range is found by subtracting this from the maximum.
What is the minimum?
A graph using bars to show grouped intervals.
What is a histogram?
Outliers affect mean more or median more?
What is mean?
A distribution where all values occur equally often.
What is uniform?
The middle 50% of data is represented by this part of the box plot.
What is the box?
The group you want to learn about when collecting data.
What is a population?
Which measure of center is usually the strongest or most reliable overall when there are no outliers?
What is mean?
Range and IQR are both measures of this
What is variability?
A graph showing the five number summary.
What is a box plot?
Best measure of center when there is an outlier.
What is median?
A distribution with one side stretched longer than the other.
What is skewed?
A shorter quartile means data is more spread out or more clustered?
What is more clustered?
A collection of facts, measurements, or information.
What is data?
The three measures of center are mean, median, and this.
What is mode?
A large spread in data means high or low variability?
What is high variability?
Minimum, Q1, Median, Q3, Maximum are called this.
What is the five-number summary?
Best measure of center when data has no major outliers.
What is mean?
An area where many data points are grouped closely together.
What is a cluster?
Find the median: 18, 4, 12, 9, 20, 7, 15
What is 12?
“Favorite ice cream flavor of students in this class” is statistical because it has this.
What is variability?
A measure of center that represents “fair share.”
What is mean?
Find the IQR of this data set: 12, 7, 3, 15, 9, 10, 6, 14, 8
What is 7?
(Ordered: 3, 6, 7, 8, 9, 10, 12, 14, 15 → Q1 = 6.5, Q3 = 13.5)
Each quartile in a box plot represents this percent of the data.
What is 25%?
Data: 45, 47, 50, 46, 120. Better measure of center?
What is median?
The highest point(s) in a distribution.
What is a peak?
Find the IQR: 22, 5, 18, 11, 9, 25, 14, 7, 20
What is 13?
(Ordered: 5, 7, 9, 11, 14, 18, 20, 22, 25 → Q1 = 8, Q3 = 21)