Statistics Practice Problems
Build your statistics skills with problems covering measures of central tendency, data analysis, and interpretation. Essential skills for understanding data in the real world.
Skills You'll Practice
- Calculating mean, median, mode, and range
- Interpreting data from tables and graphs
- Understanding distributions
- Working with box plots
- Calculating standard deviation (intro)
- Identifying outliers
Mean, Median, Mode
EasyFind the mean of: 4, 7, 8, 11, 10
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Add all values, divide by 5
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8
Find the median of: 3, 7, 9, 12, 15
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The middle number when in order
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9
Find the mode of: 2, 4, 4, 5, 7, 4, 8
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The most frequent value
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4
Range & Data Analysis
MediumFind the range of: 15, 22, 8, 31, 19
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Range = max - min = 31 - 8
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23
Find the median of: 2, 5, 8, 11, 13, 17
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Even count: average of two middle numbers
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9.5
Scores: 70, 75, 80, 82, 93. Which measure is most affected if 93 changes to 200?
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Median stays 80, mode has no change
✓ Show Answer
Mean
Advanced Analysis
HardA data set has mean 25 and 5 values. If 4 values are 20, 22, 28, 30, what is the 5th?
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Sum must be 125. Current sum = 100
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25
In a box plot, IQR = 12. Q1 = 15. What is Q3?
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IQR = Q3 - Q1
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27
Which is greater for right-skewed data: mean or median?
💡 Show Hint
Outliers on the right pull the mean up
✓ Show Answer
Mean
Pro Tips
- 💡Mean is affected by outliers, median is resistant to outliers
- 💡Mode can have multiple values or no value at all
- 💡Always order data before finding median
- 💡IQR (Interquartile Range) = Q3 - Q1, a measure of spread
Curriculum Alignment
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