توضیح 1
Range uses only the endpoints.
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درس 4 از 15
Build variability from deviations and distinguish sample from population formulas and units.
Theory
Build variability from deviations and distinguish sample from population formulas and units. The examples in this lesson use fictional STATLAB Academy business data and independently written explanations.
توضیح 1
Range uses only the endpoints.
توضیح 2
Variance averages squared deviations.
توضیح 3
Standard deviation returns to the original measurement units.
نمادگذاری و فرمولها
s^2 = sum((x_i - x-bar)^2) / (n - 1)
Build variability from deviations and distinguish sample from population formulas and units.
فعالیت تعاملی
Mean
7.00
Variance
5.00
Divide by n - 1
Standard deviation
2.24
Original units
| Value | Deviation | Squared deviation |
|---|---|---|
| 4 | -3.00 | 9.00 |
| 6 | -1.00 | 1.00 |
| 7 | 0.00 | 0.00 |
| 8 | 1.00 | 1.00 |
| 10 | 3.00 | 9.00 |
ارتباط با R
Run and edit the code, inspect printed output, and use the movable R Code Guide for line-by-line help.
Live R Lab
Build sample and population variance from deviations and compare datasets with equal means.
Ready to run
مثال حلشده
سناریو
A fictional training organization needs to use range, variance, and standard deviation to support an operational decision.
The best summary is the one that fits the question, data structure, units, and distribution.
Interpretation safeguard
Variance is in squared units; standard deviation is in the original units.
Dataset provenance
Original synthetic data generated for STATLAB Academy. No textbook data used.
بازاندیشی
Name the question, data structure, units, chosen method, and one limitation.
دستیار
Coach me through Range, Variance, and Standard Deviation without giving direct quiz answers or writing my final report. Ask me to justify assumptions, units, and interpretation.