One-variable statistics (mean, median, standard deviation)
Instant summary statistics from a list - no formulas to compute by hand.
In short: One-variable statistics gives the key summary values of a data set in a single step: the mean, standard deviation, median, quartiles, minimum and maximum. You enter the data in a list, with frequencies if it is grouped, run the one-variable analysis and read the results. Use it for any question about centre or spread.
When you'd use this
A question gives a list or frequency table of data and asks for the mean, median or standard deviation.
Comparing the spread (standard deviation) of two data sets, not just their averages.
Getting summary statistics quickly so you can focus on interpreting them, not calculating them by hand.
Checking a mean or standard deviation you calculated by hand for a small data set.
At a glance: TI-84 Plus CE, Casio fx-CG50 and TI-Nspire CX compared
TI-84 Plus CE
Casio fx-CG50 and fx-CG100
TI-Nspire CX
Key sequence
STAT → Edit → type values into L1. Then STAT → CALC → 1:1-Var Stats, choose L1, Calculate.
Statistics menu → enter data in List 1 → CALC (F2) → 1-VAR.
Add a Lists & Spreadsheet page, name a column and enter data; then a Calculator page → menu → Statistics → Stat Calculations → One-Variable Statistics.
On a TI-84 Plus CE
Enter the data into a list.
STAT → Edit → type values into L1. Then STAT → CALC → 1:1-Var Stats, choose L1, Calculate.
Read x̄ (mean), Sx (sample sd) or σx (population sd), and the five-number summary (min, Q1, median, Q3, max).
For frequency data, put values in one list and frequencies in another and set the frequency list.
Tip: Sx vs σx: use σx (population) for a complete data set, Sx (sample) for a sample. IB usually wants σx.
On a Casio fx-CG50 and fx-CG100
Enter the data into a list.
Statistics menu → enter data in List 1 → CALC (F2) → 1-VAR.
Read x̄ (mean), Sx (sample sd) or σx (population sd), and the five-number summary (min, Q1, median, Q3, max).
For frequency data, put values in one list and frequencies in another and set the frequency list.
Tip: Sx vs σx: use σx (population) for a complete data set, Sx (sample) for a sample. IB usually wants σx.
On a TI-Nspire CX
Enter the data into a list.
Add a Lists & Spreadsheet page, name a column and enter data; then a Calculator page → menu → Statistics → Stat Calculations → One-Variable Statistics.
Read x̄ (mean), Sx (sample sd) or σx (population sd), and the five-number summary (min, Q1, median, Q3, max).
For frequency data, put values in one list and frequencies in another and set the frequency list.
Tip: Sx vs σx: use σx (population) for a complete data set, Sx (sample) for a sample. IB usually wants σx.
Here's a real IB-style question that uses exactly this technique.
EasyCalculatorPaper 2[3 marks]
The data set is 4, 5, 5, 6, 7, 8, 9, 10. Find the mean and the population standard deviation, each to 3 significant figures.
Mean = 6.75, σ = 1.98
Mark it
Correct3 / 3 marks
Worked solution & mark scheme:
M1 Enter the data as a one-variable list
A1 Mean = 6.75
A1 σ = 1.98
Common questions
When would I need to find the mean, median and standard deviation of a data set in IB Maths?
Instant summary statistics from a list - no formulas to compute by hand. A question gives a list or frequency table of data and asks for the mean, median or standard deviation. Comparing the spread (standard deviation) of two data sets, not just their averages.
How do I find the mean, median and standard deviation of a data set on a TI-84 Plus CE?
1. Enter the data into a list. 2. STAT → Edit → type values into L1. Then STAT → CALC → 1:1-Var Stats, choose L1, Calculate. 3. Read x̄ (mean), Sx (sample sd) or σx (population sd), and the five-number summary (min, Q1, median, Q3, max). 4. For frequency data, put values in one list and frequencies in another and set the frequency list.
How do I find the mean, median and standard deviation of a data set on a Casio fx-CG50 and fx-CG100?
1. Enter the data into a list. 2. Statistics menu → enter data in List 1 → CALC (F2) → 1-VAR. 3. Read x̄ (mean), Sx (sample sd) or σx (population sd), and the five-number summary (min, Q1, median, Q3, max). 4. For frequency data, put values in one list and frequencies in another and set the frequency list.
How do I find the mean, median and standard deviation of a data set on a TI-Nspire CX?
1. Enter the data into a list. 2. Add a Lists & Spreadsheet page, name a column and enter data; then a Calculator page → menu → Statistics → Stat Calculations → One-Variable Statistics. 3. Read x̄ (mean), Sx (sample sd) or σx (population sd), and the five-number summary (min, Q1, median, Q3, max). 4. For frequency data, put values in one list and frequencies in another and set the frequency list.
What should I watch out for when I find the mean, median and standard deviation of a data set?
Sx vs σx: use σx (population) for a complete data set, Sx (sample) for a sample. IB usually wants σx.
How are marks awarded when I find the mean, median and standard deviation of a data set in an IB exam?
In the worked example on this page (3 marks, Paper 2), the marks are: M1: Enter the data as a one-variable list; A1: Mean = 6.75; A1: σ = 1.98.