DESCRIPTIVE STATISTICS Flashcards
Descriptive stattistics
- measures of central tendency - mean, median and mode
- measures of dispersion - range and standar deviation
mode
most frequent score in qualitative data set.
if there are two modes data is bimodal
strenghts of using mode
- mode is not distorted by extreme scores called outliers
- ## mode is more helpful for discrete numbers easy to say 2 than saying 1.89
limitations of using mode
- mode doesnt include all the values in the calculation
- there can be no mode if every value is different or multiple mode , mode doesnt give an exact average value.
median
middle score when the data is put in order
strenghts of using median
- quick and easy to calulate
- as median is the central value, its not affected by extremely high or low scores - can be used on skewed data sets to give a representative value.
limitations of median
- median doesnot include all the values in the calculation so its not sensitive as mean.
- if there are even numbers, the typical value will be a number outside of recorded values.
mean
mathematical average calulated by adding all the values and then dividing by the number of values.
strengths of mean
- all the raw data is included in the mean, so mean is the most sensitive central tendency
limitations of mean
- due to sensitivity of the mean, its extremely distorted by outliers.
range
difference between data sets highest and lowest values.
strengths of range
- easier to calculate as compared to the alternative standard deviation.
limitations of range
completely ignores the central vakue so can be misleading if there are extremely high or low values.
standard deviation
complex calculation which uses all the data points to produce a single value.
- small the standard deviation, less spread the values are around the mean.
strengths of standard deviation
- all scores in set are taken into account so its more accurate than the range.
- provides information about spread of scores.