One-variable Data — Digital SAT SAT Math revision notes
A 3-page visual revision sheet for One-variable Data, written for Digital SAT SAT Math. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
Page 1 as PDFA preview of page 1 — all 3 pages open full size in the app.
One-variable Data in one look
one list of numbers, summarised by where it sits and how far it spreads
Four summaries of one list
centre is answered two ways. The MEAN is the total shared equally, the MEDIAN is the value in the middle once the list is sorted
the MODE is simply the value that occurs most often. A list can have two modes, or none worth naming
spread is answered two ways as well. The RANGE is largest minus smallest, and the STANDARD DEVIATION says how far a typical value sits from the mean
you are never asked to compute a standard deviation by hand here, only to say which of two lists has the larger one. That is a question about the picture, not about arithmetic
The three you compute
mean of n valuesx=Σ x_i/n
mean from a frequency tablex=Σ f_ix_i/Σ f_i
rangeR=x_max-x_min
the total, recovered from a known meanΣ x_i=nx
Symmetric against skewed
Symmetric
mean and median land on the SAME value, 3 here
moving a value from one side to its mirror on the other changes neither
the mean is safe to quote as the typical value
Skewed to the right
the long tail drags the MEAN toward it, so the mean is about 2.09
the median barely moves and stays at 2, the middle value
the median is the safer summary when a tail is present
A frequency table, read three ways
score
frequency
score times frequency
1
5
5
2
10
20
3
3
9
4
2
8
total
20
42
Page 1 of 3. The full sheet, all 3 pages, opens free in the app.
These notes are not a standalone PDF. CapCompass plans SAT Math chapter by chapter against your real exam dates and free hours, and when the plan reaches One-variable Data the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.