Chapter 2 Flashcards
Define absolute frequency in the context of frequency distributions.
Absolute frequency (f) refers to the number of times a certain value occurs in a distribution.
How are nominal values listed in frequency distributions?
Nominal values are listed in any order in frequency distributions.
Explain the significance of relative frequency in data analysis.
Relative frequency (rf) allows for comparison of how often a value occurs relative to the total number of values, making it useful for comparing groups of different sizes.
Describe the types of variables and their order in frequency distributions.
Ordinal, interval, and ratio variables are listed from highest to lowest, while nominal values can be listed in any order.
Describe absolute frequency in the context of data analysis.
Absolute frequency refers to the number of times each given value is observed within a dataset, such as the number of homosexual and heterosexual couples in a study.
Define the significance of comparing absolute and relative frequency.
Comparing absolute and relative frequency is significant for understanding data from groups of different sizes or when a single group has an unusual size, making the data easier to interpret.
How can percentages be derived from relative frequency?
Percentages can be derived from relative frequency by multiplying the relative frequency by 100.
Explain the importance of using relative frequency in data analysis.
Using relative frequency is important because it allows for meaningful comparisons between groups of different sizes, providing a clearer understanding of the data.
Describe the process of calculating Cumulative Relative Frequency.
Cumulative Relative Frequency is calculated by dividing each cumulative frequency by the total number of observations.
How does Cumulative Relative Frequency enhance data interpretation?
Cumulative Relative Frequency provides more meaningful conclusions than cumulative frequency alone.
What is the significance of using equal sized intervals when grouping data?
Equal sized intervals ensure consistency in data representation and facilitate easier comparison and analysis.
Explain the concept of mutually exclusive intervals in data grouping.
Mutually exclusive intervals mean that each data point can only belong to one interval, preventing overlap and ensuring clarity in categorization.
Describe a grouped frequency distribution.
A grouped frequency distribution organizes data into intervals, showing the frequency of data points within each interval.
Define the purpose of sentencing time in a grouped frequency distribution.
Sentencing time in a grouped frequency distribution is used to analyze the duration of sentences given to youth for identical crimes and similar histories.
How are intervals determined in a grouped frequency distribution?
Intervals in a grouped frequency distribution are determined by setting an interval width and calculating the midpoint of each interval.
What is meant by equal width in a grouped frequency distribution?
Equal width in a grouped frequency distribution means that each interval has the same range of values.
Explain the concept of mutually exclusive intervals.
Mutually exclusive intervals in a grouped frequency distribution ensure that each data point falls into one and only one interval, preventing overlap.
How can the midpoint of an interval be calculated?
The midpoint of an interval can be calculated by averaging the lower and upper boundaries of the interval.
Describe the concept of exact limits of intervals in relation to continuous variables.
Exact limits of intervals refer to the boundaries that define the range of values for continuous variables, determined by the precision of the data.