Chapter 2: Frequency Distributions Flashcards
Raw Score
A data point that has not yet been transformed or analyzed
Frequency Distribution
Describes the pattern of a set of numbers by displaying a count or proportion for each possible value of a variable
Frequency Table
A visual depiction of data that shows how often each value occurred, that is scores were at each value; values are listed in a column, and the numbers of individuals with scores at that value are listed in the second column
Grouped Frequency Table
Visual depiction of data that reports the frequencies within a given interval rather than the frequencies for a specific value
Steps to generate a standard grouped frequency table
- Find the highest and lowest scores in your frequency distribution
- Get the full range of data
- Determine the number of intervals and the best interval size
- Figure out the number that will be the bottom of the lowest interval
- Finish the table by listing the intervals from highest to lowest and then counting the numbers of scores in each
Histogram
Looks like a bar graph but is typically used to depict scale data with the values of the variable on the x-axis and the frequencies on the y axis
Steps to construct a histogram from a frequency
- Draw the x-axis and label it with the variable of interest and the full range of values for this variable
- Draw the y-axis, label it Frequency and include the full range of frequencies for this variable
- Draw a bar for each value, centering the bar around that value on the x-axis and drawing the bar as high as the frequency for that value as represented on the y-axis
Steps to construct a histogram from a grouped frequency table
- Determine the midpoint for every interval
- Draw the x-axis and label it with the variable of interest and the midpoints for each interval of values on this variable
- Draw the y-axis and label it frequency and include the full range of frequencies for this variable
- Draw a bar for each midpoint, centering the bar on that midpoint on the x-axis and drawing the bar as high as the frequency for that interval as represented on the y-axis
Frequency Polygon
A line graph with the x-axis representing values (or midpoints of intervals) and the y-axis representing frequencies; a dot is placed at the frequency for each value (or midpoint), and the dots are connected
Normal Distribution
Specific frequency distribution that is a bell-shaped, symmetric, unimordal curve
Skewed distribution
Distributions in which one of the tails of the distribution is pulled away from the center; lopsided, off-center, or simply nonsymmetric
Positively Skewed
The tail of the distribution extends to the right, in a positive direction
Floor effect
A situation in which a constraint prevents a variable from taking values below a certain point
Negatively Skewed
Have a distribution with a tail that extends to the left, in a negative direction
Ceiling effect
A situation in which a constraint prevents a variable from taking on values above a given number