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AP Statistics Calculator

Ap statistics calculator works out Count (n) and Sum from Data set, Headline statistic and Quartile method. The default figures on this page give mean of 5; change any entry and the result, the working and the sources update together.

Mean
5
Descriptive Statistics Calculator
Count (n)
8
Sum
40
Median
4.5
Mode
4
Minimum
2
Maximum
9
Range
7
Midrange
5.5
Sample variance (s squared)
4.571429
Sample standard deviation (s)
2.13809
Population variance (sigma squared)
4
Population standard deviation (sigma)
2
Standard error of the mean
0.755929
Sum of squared deviations (SS)
32
First quartile (Q1)
4
Second quartile (Q2, the median)
4.5
Third quartile (Q3)
6.5
Interquartile range (IQR)
2.5
Lower outlier fence
0.25
Upper outlier fence
10.25
Requested percentile
4.5
Mean absolute deviation
1.5
Median absolute deviation
0.5
Coefficient of variation
42.761799 %
Skewness (G1)
0.818488
Excess kurtosis (G2)
0.940625
Worked out from NIST/SEMATECH e-Handbook of Statistical Methods, section 1.3.5 Quantitative Techniques and 3 other sources.

Your figures

Updates as you type
Separate values with commas, spaces or new lines.
Every statistic is calculated regardless; this chooses which one leads.
Different textbooks and calculators split quartiles differently. Pick the one your course uses.
Tukey used 1.5 x IQR for "outliers" and 3 x IQR for "far out" points.

How this is worked out

8 steps
  1. Sorted data (n = 8): 2, 4, 4, 4, 5, 5, 7, 9
  2. Mean = 40 / 8 = 5
  3. Median = average of the two middle values = 4.5
  4. Sum of squared deviations SS = 32
  5. Sample variance = SS / (n - 1) = 32 / 7 = 4.57142857, so s = 2.13808994
  6. Population variance = SS / n = 32 / 8 = 4, so sigma = 2
  7. Quartiles (exclusive method): Q1 = 4, Q2 = 4.5, Q3 = 6.5, IQR = 2.5
  8. Outlier fences = Q1 - 1.5 x IQR = 0.25 and Q3 + 1.5 x IQR = 10.25
Modal valuestable
4
Five-number summarytable
2, 4, 4.5, 6.5, 9
Sorted datatable
2, 4, 4, 4, 5, 5, 7, 9

Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

4 sources
Hyndman, R.J. & Fan, Y. (1996), "Sample Quantiles in Statistical Packages", The American Statistician 50(4), 361-365
Definitions of the type 6 (exclusive) and type 7 (linear/inclusive) quantile estimators offered here.
Tukey, J.W. (1977), Exploratory Data Analysis, Addison-Wesley
Five-number summary and the 1.5 x IQR outlier fences.
Joanes, D.N. & Gill, C.A. (1998), "Comparing measures of sample skewness and kurtosis", The Statistician 47(1), 183-189
The G1 skewness and G2 excess-kurtosis estimators used by Excel, SPSS and SAS.

What the ap statistics calculator calculates

Computes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles, the five-number summary, Tukey outlier fences, mean and median absolute deviation, coefficient of variation, skewness and excess kurtosis.

How to use this ap statistics calculator

Enter Data set, Headline statistic, Quartile method and Percentile to report. Count (n) updates as you type. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Count (n), Sum and Mean.

The method follows NIST/SEMATECH e-Handbook of Statistical Methods, section 1.3.5 Quantitative Techniques, Hyndman, R.J. & Fan, Y. (1996), "Sample Quantiles in Statistical Packages", The American Statistician 50(4), 361-365, Tukey, J.W. (1977), Exploratory Data Analysis, Addison-Wesley and Joanes, D.N. & Gill, C.A. (1998), "Comparing measures of sample skewness and kurtosis", The Statistician 47(1), 183-189.

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

What calculator do I need for AP Statistics?

Computes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles. On this page it is computed from Data set, Headline statistic and Quartile method and shown as Count (n), Sum and Mean.

Is 70% a 5 on AP Stats?

Computes the full descriptive summary of a data set: count, sum, mean, median, mode, range, midrange, sample and population variance and standard deviation, quartiles, interquartile range, percentiles. Put your own figures in above and the working updates beside the result. For scale, the default figures on this page give 5.

Is AP Stats the hardest AP?

It needs Data set, Headline statistic, Quartile method, Percentile to report and Outlier fence multiplier. Nothing else is required, and the figures stay in your browser.

Can you use TI-84 on AP Stats?

The result gives Count (n), Sum, Mean, Median, Mode and Modal values, each labelled with its unit so the figure can be read on its own.

What information do I need for the ap statistics calculator?

You need Data set, Headline statistic, Quartile method, Percentile to report and Outlier fence multiplier. The page opens with default figures that give mean of 5, so you can see the scale before entering your own.

What does this ap statistics calculator show?

It shows Count (n), Sum, Mean, Median, Mode, Modal values, Minimum and Maximum, with the working and any warnings for your entries.

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