Statistics & Probability
Mean, Median, Mode & Range
Mean = average (sum ÷ count). Median = middle value when sorted. Mode = most frequent value. Range = largest − smallest.
Watch & Learn
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Worked Examples
Follow along with these step-by-step examples. Take your time — there's no rush!
Problem
Find the mean, median, mode, and range of: 4, 7, 2, 7, 10, 3
Step-by-Step Solution
Mean: (4+7+2+7+10+3)/6 = 33/6 = 5.5
Sorted: 2, 3, 4, 7, 7, 10. Median: average of 4 and 7 = 5.5
Mode: 7 (appears most often)
Range: 10 − 2 = 8
Answer
Mean=5.5, Median=5.5, Mode=7, Range=8
Problem
Find the median of: 5, 12, 3, 8, 1
Step-by-Step Solution
Sort: 1, 3, 5, 8, 12
Middle value (3rd of 5): 5
Answer
Median = 5
Problem
A data set has no repeated values. What is the mode?
Step-by-Step Solution
Mode is the most frequently occurring value.
If no value repeats, there is no mode.
Answer
No mode
Problem
Find the mean of: 15, 20, 25, 30, 35, 40
Step-by-Step Solution
Sum: 15 + 20 + 25 + 30 + 35 + 40 = 165
Count: 6 values
Mean = 165 ÷ 6 = 27.5
Answer
Mean = 27.5
Problem
A student has test scores: 80, 92, 76, 88, 84. What is the median?
Step-by-Step Solution
Sort: 76, 80, 84, 88, 92
Middle value (3rd of 5): 84
Answer
Median = 84
Your Turn — Practice Problems
Try all 5 problems on your own first. Write out your work — that's how it sticks!
💡 Tip: Don't peek at the answers until you've genuinely tried each one.
Find the mean of: 10, 20, 30, 40, 50
Find the median of: 3, 9, 1, 7, 5
Find the mode of: 2, 4, 4, 6, 8, 4
Find the range of: 15, 3, 22, 8, 11
Find the mean of: 6, 8, 10, 12
Find the median of: 2, 5, 8, 11, 14
Find the mode of: 7, 3, 7, 5, 7, 2
Find the range of: 4, 4, 4, 4
Find the mean of: 0, 10, 20
Find the median of: 1, 3, 5, 7 (even count)
A data set has two values that appear equally often. What is the mode?
Find the range of: 100, 75, 50, 25, 0
Finished all 12? Give yourself a pat on the back — then check your work!
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