all math Flashcards
IQR
UQ-LQ=IQR
Centre
Medians, shift and overlap of the middle 50%
Spread
The range (lowest-highest number) and IQR
Shape
symmetry, modality, peaks and clusters
TARSU
Trend, association, relationship, scatter, unusual features
Trend
Liner or non-linear
Association
positive or negative
Relationship
weak, moderate, strong, perfect
Scatter
how vertically spread out the data is
Unusual features
groups or outliers
Model/theoretical probability
the number of favorable outcomes divided by the total number of possible outcomes.
Expected probability
Total number x the theoretical probability
Margin of error
Total number square rooted
Confidence interval
Expected number +/- Margin of error
Conclusion
when a coin is flipped 16 times we would expect between 4 and 12 tails. Experiment resulting in 10 tails is reasonable, because the result is within the confidence interval. We have insufficient evidence to suspect that the coin is biased.
Binomial distribution features
- Number of trials is fixed
- Each trial is independent
- The probability of success remains the same
- Exactly two outcomes
Normal distributions
- It is “bell-shaped” and symmetrical about the mean
- The area under the curve is always equal to 1
- The probability than an event occurs is equal to its area under the curve
- The curve continues forever in both directions
- The mean, median and mode are always the same number
Standard deviation
- The larger the standard deviation, the flatter/wider the curve is
- The smaller the standard deviation, the taller/narrower the curve is
