Chapter 3 Flashcards
3 aspects to a quantitive variable
Shape
Center - the middle of the distribution
Spread - variation or dispersion of the distribution
Population distribution
he distribution of population data
Sample distribution
the distribution of sample data, If you take several samples from the same population, every sample will have a slightly different
shape or distribution. The larger the sample size, the better will be its approximation to the population distribution
Symmetrical
a distribution that can be divided into two parts such that one is a mirror image of the
other
Skewed
distribution that has one tail of the distribution longer than the other (therefore not symmetrical)
Left Skewed
Negative, left tail is longer than right tail
Right Skewed
Positive, right tail is longer than left tail
J-Shaped
special type of negatively skewed distribution that has no right tail (vice versa for Reverse J-Shape)
Modality
Refers to the number of peaks in the distribution
Unimodal
one peak (or one mode)
All of the above distributions are unimodal
Bimodal
two peaks
(the two peaks are approximately the same height, otherwise it is unimodal with an irregular shape)
Multimodal
three or more peaks
Median
the middle observation in a distribution
Median class
the class in a frequency distribution in which the median is found
Mode
one or more points in a frequency distribution that have the greatest frequency
Range
Max – Min = difference between the highest and lowest observations in a data set
* A biased measure of variation
Percentiles
divide a data set into 100 equal parts
Deciles
divide a data set into 10 equal parts
Quartiles
divide a data set or distribution into 4 equal parts
First quartile
the median of that part of the data set that lies below the median of the entire data set
Second Quartile
the median of the entire data set
Third Quartile
the median of that part of the data set that lies above the median of the entire data set
Interquartile range
Q3 - Q1
5 Numba Summa
Five-Number Summary = Min, Q1, Q2, Q3, Max
Adjacent Values
Min and Max