Chapter 3
DESCRIPTIVE STATISTICS, PROBABILITY, AND MEASURE OF CENTRAL
TENDENCY
descriptive Statistics
computed to reveal characteristics of the sample and to describe study variable
How to describe a sample
create a frequency distribution of the variable or variable being studied
- is a plot of one variable, whereby the x-axis consists of possible values of that variable
, and the y - axis is tally of each value
Inferential Statistics
computed to draw conclusions and make inferences about the greater population,
based on the sample data set.
Bi Modal
having or providing two modes, ,methods, systems, etc.
-having 2 values/categories that have highest occurrence and are equal frequencies
Central Tendency
indicator of center of data
-nominal variable= categorical differences EX: gender (tendency of samples of given
measurement to cluster around some central value.
Measures of Central tendency are descriptive statistics.
Statistics represent measures of central tendency are mean, median and mode (all are
representations or descriptions of the center or middle of a frequency distribution
mean= arithmetic average of all of the values of a variable.
median= exact middle value ( or average of the middle two values if there is an even
number of observations)
mode= most commonly occurring value in a data set. can have more than one mode in
a sample.
in a normal curve, mean, median and mode are equal or approximately equal
Multimodal
having more than 2 modes
Unimodal
When distribution only has one mode
-the frequencies progressively decline as they move away from the mode. Symmetrical
distributions are usually uni modal.
bimodal
means you have not defined your population if you find a bimodal
Mode
most frequently occurring measure (value or category) in (distribution) data
Mean