1124 Words5 Pages

S1 Notes
Wednesday 27th May 2010
Mr Aroui
Finding the Median, Lower Quartile and Upper Quartile using Interpolation: b is the lower class boundary, f is the sum of all the frequencies below b, [pic]is the frequency of the class, w is the class width.
Median:
[pic]
Lower Quartile:
[pic]
Upper Quartile:
[pic]
Decile:
[pic]
Percentile:
[pic]
Finding the Mean, Variance and Standard Deviation:
Mean:
[pic] or [pic]
Variance:
[pic] or [pic]
Standard Deviation:
[pic] or [pic]
Finding the Interquartile Range (IQR) and Semi-Interquartile Range (SIQR):
[pic] [pic]
Outliers: An outlier is any value, which is • Less than [pic] • Greater than [pic]
Skewness: The shape(skewness) of a data set can be described using diagrams, measures of location and measures of spread.A distribution can be symmetrical, have positive skew or have negative skew.
Using the Quartiles:
[pic] then the distribution is symmetrical.
[pic] > [pic] then the distribution is positively skewed.
[pic] < [pic] then the distribution is negatively skewed..
Using the Measures of location (Mode, Median & Mean):
[pic] describes a distribution which is symmetrical.
[pic] < [pic]< [pic] describes a distribution which positive skew.
[pic] > [pic]> [pic] describes a distribution which negative skew.
[pic] this gives you a value and tells you how skewed the data is
❖ The closer to zero the more symmetrical ❖ A negative number means the data has negative skew. ❖ A positive number means the data has a positive skew
Probability:
P(A or B or both) = [pic]
P(both A & B) = [pic]
P(not A) = [pic]
Addition Rule: [pic]
Multiplication Rule: [pic]
Conditional probability: [pic]
Independent Events:If two events A and B are independent [pic]
[pic] or [pic]
Mutually Exclusive Events:If two events A and B cannot

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