2.1 Frequency Distributions Flashcards
Frequency Distribution
Is a table that shows classes or intervals of data entries with a count of the number of entries in each class
Frequency, f
Of a class is the number of data entries in each class
Lower Class Limit
This is the least number that can belong to a class
Upper Class Limit
This is the greatest number that can belong to a class
Class Width
Is the distance between lower (or Upper) limits of consecutive class. Class width = (MAX - MIN)/ # of classes
Range
The difference between the maximum and minimum data entries
Find the class width: Max = 125 Min = 67 # of classes = 5
11.6 rounds up to 12. The class width is 12
Find the class width: Max = 125 Min = 25 # of classes = 5
20 rounds up to 21. The class width is 21.
Find the class width: Max = 125 Min = 83 # of classes = 5
8.4 rounds up to 9. The class width is 9.
Midpoint
Is the sum of the lower and upper limits of the class divided by two. Midpoint = (upper + lower)/ 2
Relative Frequency
Of a class is the portion or percentage of the data that falls in that class. Relative Frequency = f/sum of the f.
Cumulative Frequency
Of a class is the sum of the frequency for that class and all previous classes
Frequency Histogram
A bar graph that represents the frequency distribution of a data set.
- The x-axis is quantitative data values (boundaries)
- y-axis is the frequency or relative frequency
- Consecutive bars must touch
- Don’t forget a jump if the graph does not start at zero
- Don’t forget to LABEL!
Class Boundaries
The numbers that separate classes without forming gaps between them
Subtract 0.5 from each lower limit and add 0.5 to each upper limit