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Unit: Summarizing quantitative data

AP Stats:
UNC (BI)
,
UNC‑1 (EU)
,
UNC‑3 (EU)

0

Possible mastery points

Measuring center in quantitative data

AP Stats:
UNC (BI)
,
UNC‑1 (EU)
,
UNC‑1.I (LO)
,
UNC‑1.I.1 (EK)
,
UNC‑1.I.2 (EK)
,
UNC‑1.I.3 (EK)
Learn
Statistics intro: Mean, median, & mode
(Opens a modal)
Mean, median, & mode example
(Opens a modal)
Median in a histogram
(Opens a modal)
Practice
Calculating the meanGet 3 of 4 questions to level up!
Calculating the medianGet 3 of 4 questions to level up!
Calculating mean and median from data displaysGet 3 of 4 questions to level up!

More on mean and median

AP Stats:
UNC (BI)
,
UNC‑1 (EU)
,
UNC‑1.I (LO)
,
UNC‑1.I.2 (EK)
,
UNC‑1.K (LO)
,
UNC‑1.K.2 (EK)
,
UNC‑1.M (LO)
,
UNC‑1.M.2 (EK)
Learn
Mean as the balancing point
(Opens a modal)
Missing value given the mean
(Opens a modal)
Impact on median & mean: increasing an outlier
(Opens a modal)
Impact on median & mean: removing an outlier
(Opens a modal)
Estimating mean and median in data displays
(Opens a modal)
Practice
Missing value given the meanGet 3 of 4 questions to level up!
Effects of shifting, adding, & removing a data pointGet 3 of 4 questions to level up!
Estimating mean and median in data displaysGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 600 Mastery points

Measuring spread in quantitative data

AP Stats:
UNC (BI)
,
UNC‑1 (EU)
,
UNC‑1.J (LO)
,
UNC‑1.J.1 (EK)
,
UNC‑1.J.2 (EK)
,
UNC‑1.J.3 (EK)
,
UNC‑1.K (LO)
,
UNC‑1.K.2 (EK)
Learn
Interquartile range (IQR)
(Opens a modal)
Sample variance
(Opens a modal)
Sample standard deviation and bias
(Opens a modal)
Visually assessing standard deviation
(Opens a modal)
Mean and standard deviation versus median and IQR
(Opens a modal)
Practice
Interquartile range (IQR)Get 3 of 4 questions to level up!
Sample standard deviationGet 3 of 4 questions to level up!
Visually assessing standard deviationGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 300 Mastery points

More on standard deviation (optional)

AP Stats:
UNC (BI)
,
UNC‑1 (EU)
,
UNC‑1.J (LO)
,
UNC‑1.J.3 (EK)
,
UNC‑3 (EU)
,
UNC‑3.I (LO)
,
UNC‑3.I.1 (EK)
Learn
Review and intuition why we divide by n-1 for the unbiased sample variance
(Opens a modal)
Why we divide by n - 1 in variance
(Opens a modal)
Simulation showing bias in sample variance
(Opens a modal)
Simulation providing evidence that (n-1) gives us unbiased estimate
(Opens a modal)
Unbiased estimate of population variance
(Opens a modal)

Box and whisker plots

AP Stats:
UNC (BI)
,
UNC‑1 (EU)
,
UNC‑1.K (LO)
,
UNC‑1.K.1 (EK)
,
UNC‑1.L (LO)
,
UNC‑1.L.1 (EK)
,
UNC‑1.L.2 (EK)
Learn
Worked example: Creating a box plot (odd number of data points)
(Opens a modal)
Worked example: Creating a box plot (even number of data points)
(Opens a modal)
Reading box plots
(Opens a modal)
Interpreting box plots
(Opens a modal)
Judging outliers in a dataset
(Opens a modal)
Practice
Creating box plotsGet 3 of 4 questions to level up!
Reading box plotsGet 3 of 4 questions to level up!
Interpreting quartilesGet 3 of 4 questions to level up!
Identifying outliersGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 400 Mastery points
Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 1300 Mastery points!

About this unit

This unit covers common measures of center like mean and median. We'll also learn to measure spread or variability with standard deviation and interquartile range, and use these ideas to determine what data can be considered an outlier.
AP® is a registered trademark of the College Board, which has not reviewed this resource.