Add one observation to three reviewed datasets and see every dot, histogram bin, quartile, box plot and measure of centre or spread recalculate together.
Model presets
Reviewed starting states
Live measurements
Sample size n
10.0
Mean
61.4
Median
62.0
Mode
62.0
Range
36.0
Population variance
115
Population standard deviation
10.7
Lower quartile Q1
54.0
Upper quartile Q3
70.0
Interquartile range
16.0
Tukey outliers
0.00
|mean − median|
0.60
Curriculum map
AQA GCSE Mathematics Statistics → Measures of central tendency, spread and box plots
Edexcel A-Level Mathematics Statistical Sampling and Data Presentation → Variance, standard deviation and outliers
Model boundaries
The displayed variance and standard deviation divide by n and therefore describe each shown dataset as a population.
Quartiles exclude the overall median when the sample size is odd.
Outliers use Tukey's 1.5 × IQR rule; an outlier is not automatically an error and is never deleted from the calculations.
StudyVector-authored fixed teaching datasets with deterministic descriptive-statistics calculations; mapped to the reviewed GCSE and A-Level topics shown below.
Accessible text description
A shared horizontal scale from 0 to 100 contains a stacked dot plot, a ten-unit histogram, and a Tukey box plot derived from the same selected dataset. Mean and median use distinct labelled guide lines. Outliers are ringed and listed against calculated lower and upper fences. Native controls add or remove one observation and adjust its value one unit at a time.