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Statistics and Probability Worksheet Generator

Mean, median, MAD, quartiles, box plots, standard deviation, z-scores, normal distribution, probability, and binomial. No AI, no credits.

Grade 6 – Grade 12No account needed

Statistics and probability activities: mean, median, mode, range, MAD, quartiles and box plots, dot plots, histograms, standard deviation (state population or sample), z-scores, the normal distribution (computed numerically, never from a memorized table), basic and conditional probability, counting, and the binomial distribution. Every answer is computed by code and verified by a second independent method. No AI, so it never uses a generation credit.

What students practice

  • Statistics
  • Probability
  • Data

Live sample sheet

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Statistics and Probability

1. Find the mean of: 16, 37, 41, 53, 55, 83, 98
2. Find the median of: 23, 39, 42, 45, 48, 50
3. Find the mode of: 3, 3, 4, 7, 7, 8, 9, 10
4. Find the range of: 16, 39, 50, 68, 80, 80
5. Find the mean of: 15, 19, 28, 35, 66, 77, 93
6. Find the median of: 1, 3, 11, 18, 35, 41
7. Find the mode of: 1, 1, 6, 6, 8, 9, 10, 10
8. Find the range of: 33, 33, 37, 51, 56, 74
9. Find the mean of: 11, 18, 23, 26, 49, 87, 90
10. Find the median of: 4, 19, 22, 22, 37, 38

Answer Key — Statistics and Probability

1. Find the mean of: 16, 37, 41, 53, 55, 83, 98
Sum: 16 + 37 + 41 + 53 + 55 + 83 + 98 = 383
Mean = 383 / 7 = 54.71
Answer: 54.71
2. Find the median of: 23, 39, 42, 45, 48, 50
Sorted: 23, 39, 42, 45, 48, 50
Middle two: 42 and 45
Median = 43.5
Answer: 43.5
3. Find the mode of: 3, 3, 4, 7, 7, 8, 9, 10
Count each value.
Most frequent: 3, 7 (appears 2 times).
Answer: 3, 7
4. Find the range of: 16, 39, 50, 68, 80, 80
Max: 80
Min: 16
Range = 80 - 16 = 64
Answer: 64
5. Find the mean of: 15, 19, 28, 35, 66, 77, 93
Sum: 15 + 19 + 28 + 35 + 66 + 77 + 93 = 333
Mean = 333 / 7 = 47.57
Answer: 47.57
6. Find the median of: 1, 3, 11, 18, 35, 41
Sorted: 1, 3, 11, 18, 35, 41
Middle two: 11 and 18
Median = 14.5
Answer: 14.5
7. Find the mode of: 1, 1, 6, 6, 8, 9, 10, 10
Count each value.
Most frequent: 1, 6, 10 (appears 2 times).
Answer: 1, 6, 10
8. Find the range of: 33, 33, 37, 51, 56, 74
Max: 74
Min: 33
Range = 74 - 33 = 41
Answer: 41
9. Find the mean of: 11, 18, 23, 26, 49, 87, 90
Sum: 11 + 18 + 23 + 26 + 49 + 87 + 90 = 304
Mean = 304 / 7 = 43.43
Answer: 43.43
10. Find the median of: 4, 19, 22, 22, 37, 38
Sorted: 4, 19, 22, 22, 37, 38
Middle two: 22 and 22
Median = 22
Answer: 22

Assumptions and Conventions

Assumptions:
  • Data is sorted before computing median, quartiles, or box plots.
  • Standard deviation is population (÷ n) unless the question states sample (÷ n-1).
  • The normal distribution CDF is computed numerically (Abramowitz and Stegun erf approximation), never from a memorized table.
Conventions:
  • Round to 2 decimal places unless stated otherwise.
  • Probabilities are between 0 and 1.
  • Box plots: left whisker = min, box = Q1 to Q3, line = median, right whisker = max.

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Frequently asked questions

Do students need an account to use the Statistics and Probability?

No. Students never need an account. They open a shared link or join with a code.

Can I print the Statistics and Probability without signing up?

Yes. This tool computes answers by code, so you can generate, preview and print worksheet without an account. A free account adds saving and student links.

How are the answers computed?

Every answer is computed by code and verified by a second independent method. No AI is used.

What grades is the Statistics and Probability for?

This tool fits Grade 6 – Grade 12.

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Statistics and Probability

1. Find the mean of: 16, 37, 41, 53, 55, 83, 98
2. Find the median of: 23, 39, 42, 45, 48, 50
3. Find the mode of: 3, 3, 4, 7, 7, 8, 9, 10
4. Find the range of: 16, 39, 50, 68, 80, 80
5. Find the mean of: 15, 19, 28, 35, 66, 77, 93
6. Find the median of: 1, 3, 11, 18, 35, 41
7. Find the mode of: 1, 1, 6, 6, 8, 9, 10, 10
8. Find the range of: 33, 33, 37, 51, 56, 74
9. Find the mean of: 11, 18, 23, 26, 49, 87, 90
10. Find the median of: 4, 19, 22, 22, 37, 38

Answer Key — Statistics and Probability

1. Find the mean of: 16, 37, 41, 53, 55, 83, 98
Sum: 16 + 37 + 41 + 53 + 55 + 83 + 98 = 383
Mean = 383 / 7 = 54.71
Answer: 54.71
2. Find the median of: 23, 39, 42, 45, 48, 50
Sorted: 23, 39, 42, 45, 48, 50
Middle two: 42 and 45
Median = 43.5
Answer: 43.5
3. Find the mode of: 3, 3, 4, 7, 7, 8, 9, 10
Count each value.
Most frequent: 3, 7 (appears 2 times).
Answer: 3, 7
4. Find the range of: 16, 39, 50, 68, 80, 80
Max: 80
Min: 16
Range = 80 - 16 = 64
Answer: 64
5. Find the mean of: 15, 19, 28, 35, 66, 77, 93
Sum: 15 + 19 + 28 + 35 + 66 + 77 + 93 = 333
Mean = 333 / 7 = 47.57
Answer: 47.57
6. Find the median of: 1, 3, 11, 18, 35, 41
Sorted: 1, 3, 11, 18, 35, 41
Middle two: 11 and 18
Median = 14.5
Answer: 14.5
7. Find the mode of: 1, 1, 6, 6, 8, 9, 10, 10
Count each value.
Most frequent: 1, 6, 10 (appears 2 times).
Answer: 1, 6, 10
8. Find the range of: 33, 33, 37, 51, 56, 74
Max: 74
Min: 33
Range = 74 - 33 = 41
Answer: 41
9. Find the mean of: 11, 18, 23, 26, 49, 87, 90
Sum: 11 + 18 + 23 + 26 + 49 + 87 + 90 = 304
Mean = 304 / 7 = 43.43
Answer: 43.43
10. Find the median of: 4, 19, 22, 22, 37, 38
Sorted: 4, 19, 22, 22, 37, 38
Middle two: 22 and 22
Median = 22
Answer: 22

Assumptions and Conventions

Assumptions:
  • Data is sorted before computing median, quartiles, or box plots.
  • Standard deviation is population (÷ n) unless the question states sample (÷ n-1).
  • The normal distribution CDF is computed numerically (Abramowitz and Stegun erf approximation), never from a memorized table.
Conventions:
  • Round to 2 decimal places unless stated otherwise.
  • Probabilities are between 0 and 1.
  • Box plots: left whisker = min, box = Q1 to Q3, line = median, right whisker = max.
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