One-Variable Stats
Five-Number Summaries
Histograms
Normal Curves
Data Detective
100

Name the measure of center that is resistant to outliers.

What is the median?

100

List the five numbers in a five-number summary.

What is the min, quartile 1, median, quartile 3, and max?

100

True or False: A histogram shows individual Data values?

What is False?

100

What percentage of data falls within 1 standard deviation of the mean in a normal distribution?

What is ~68%?

100

Name two common types of plots used for one-variable data besides a histogram

What is a dotplot, stem-and-leaf, boxplot, etc.

200

What does the standard deviation describe?

What is how spread out the data are from the mean?

200

Which numbers determine the IQR?

What is Q3-Q1?

200

What is the difference between a histogram and a bar-chart?

What is histograms show intervals of data, bar charts are categorical?
200

Where would the mean and median fall in a perfectly normal curve?

What is they're the same value?

200

When you see a ga or cluster in a histogram, it might indicate that...

What are multiple groups, subpopulations, outliers, or unusual circumstances?
300

A set of data has mean 50, median 70. Is it skewed left or right?

What is skewed left?

300

If Q1=10 and Q3=30, find the IQR.

What is 20?

300

What shape histogram suggests a normal distribution?

What is symmetric and bell-shaped?

300

z=+2 means the data point is how far from the mean?

What is two standard deviations above the mean?

300

An observation lies far outside the rest of the data. What's it called and how might it affect the mean?

What is an outlier? It pulls the mean toward it.

400

Explain how to calculate a z-score.

What is (the value minus the mean) divided by the standard deviation?

400

Using the 1.5xIQR rule, what are the upper/lower fences for Q1=5, Q3=20?

What is -17.5 and 42.5?

400

Which bin width would reveal more detail: 1 or 10?

What is 1?

400

About what percentage of data lies above +-3Sx in a normal distribution?

What is ~0.3%?

400

Looking at a boxplot, how can you tell if a distribution is skewed?

What is a longer whisker/box on one side of the boxplot?
500

Give an example where the mean is a poor measure of center.

What is skewed data with outliers?

500

What is one advantage of a boxplot over a histogram?

What is quickly shows spread, center, and outliers?
500

Why might two histograms with the same data look different?

What are different bin widths or starting points?

500

How would you check if data are approximately normal?

What is check the histogram shape and compare to the empirical rule percentages?

500

You're shown a histogram with a longer tail leading toward the lower values in the data set. What does this indicate?

What is left-skewed Data?

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