Descriptive statistics Flashcards
Frequency Distribution
A count of the number of occurrences of each different value in the data set
Two steps to make a frequency distribution
- count the number of occurrences (frequency) of each value of the dependent variable
- Make a graph
Class interval
Clusters of data when there is a large range of values
Exact limits
The limits continuous variables fall between. They are half a unit below and half a unit above the values of the class intervals
Normal distribution
A symmetric frequency distribution
Measures of central tendency
summerise a data set with a single value that is representative of the data set
Variability
the extend to which things are not all the same
Measures of variability
measure how scores differ from one another
Variance
S^2
the Sum of squared deviations from the mean decided by the number of scores
Standard deviation
square root of the variance
approximately the average distance of the scores in a data set from the mean
Inflection point
the point where the curve starts bending outwards
Normal distributions inflection point
It is always 1 sd away from the mean
68% of the scores of the normal distribution
are within +/-1sd
96% of the scores of the normal distribution
are within +/-2sd
99.7% of the scores of the normal distribution
are within +/-3sd
Z-scores
tell us how far away a score is from the mean, taking into account the variability of the scores in the data set, expressed as the number of sd the score is away from the mean
Area under the normal distribution curve
is bonded by two values and equals the relative frequency or proportion of cases between these two values
three steps to determine the proportion of scores compared to the individual score:
- calculate the Z-score
- draw a picture of the curve
- look up the value of Z in the Z-table to find the ralative position of the individual socre
how is the Z-distribution obtained?
by converting every data element to itsZ-score
What are the Z-distribution’s properties?
- it is normal
- has a mean of zero
- has sd of 1