Unit 2 Flashcards
∑ means…
to sum
∑X means…
to add all X values
∑X ^2 means…
square each X value, then sum
(∑X)^2 means…
add all X values first, then square the sum
∑XY means…
multiply each X value by corresponding Y value
(∑X)(∑Y) means…
add all X, add all Y, then multiply the two sums
∑(X-Y) means…
take the sum of X minus sum of Y
what does “N” mean
population size
number of cases/participants in the population
what does “n” mean
sample size
number of cases/participants in the sample
what is a Frequency Table
a table that organizes the data based on how often scores occur
describe the process of Simple Frequency Distribution
- go through raw data. find lowest/highest scores
- list each possible score between low & high, including them
- tally the corresponding frequencies
what is Raw Data
data as originally collected
ex: stream of numbers
define “grouped frequency distribution”
group the data into “class intervals”
what are “class intervals”
groups numerically defined in such a way that any given raw score can belong to one and only one group
what are the steps in making a grouped frequency distribution
- estimate the number of class intervals between 5 and 20
- find the highest and lowest cases, subtract those two for the range
- divide the estimated number of class intervals into the range (this determines class interval size)
what is cumulative frequency
frequency of all scores at or below a particular score. its a running total of frequencies
what is relative percentage
percentage of time the raw score occurs in a sample or population
relative % = (f/n) x 100
what are real limits
refers to the points falling one half a measurement unit above and below a particular number
what is cumulative percentage
also referred to as “percentile”
percentage of cases at or below a particular score
(the score at the nth percentile is the upper real limit of the class interval or of the score)
what are midpoints
the halfway point within the class interval.
the average of upper and lower real limits.
equal to class interval size!!
what does the x-axis represent
scores OR midpoints (in grouped freq. distribution)
what does the y-axis represent
frequency
describe a histogram
- interval or ratio data
- nice graph for discrete variable
- series of vertical bars centered over the score on x-axis
- height of bar = frequency
- adjacent bars touch as long as there is a frequency
describe a frequency polygon
- interval or ratio data
- nice graph for continuous variable
- series of dots centered over score on x-axis
- height = frequency
- connect the dots with straight lines, in order