CHAPTER 3 Flashcards
a single value that represents a data set.
Its purpose is to locate the center of a data set.
commonly referred to as an average.
Measures of Central Tendency
A set of data has only one mean
Applied for interval and ratio data
All values in the data set are included
Very useful in comparing two or more data sets.
Affected by the extreme small or large values on a data set
Cannot be computed for the data in a frequency distribution with an open-ended class
Properties of Mean
The only common measure in which all values plays an equal role meaning to determine its values you would need to consider all the values of any given data set.
X bar (for sample)
mu (for population)
Arithmetic Mean (Mean)
Other Types of Mean
Weighted mean
Geometric mean
Combined mean
It is useful when various classes or groups contribute differently to the total
It is found by multiplying each value by its corresponding weight and dividing by the sum of the weights.
Weighted Mean
To determine the average percents, indexes, and relatives;
to establish the average percent increase in production, sales, or other business transaction or economic series from one period of time to another.
Geometric Mean
The grand mean of all the values in all groups when two or more groups are combined.
Combined Mean
The midpoint of the data array
Median
is a data set arranged in order whether ascending or descending
Data Array
It is unique, there is only one median for a set of data
It is found by arranging the set of data from lowest or highest (or highest to lowest) and getting the value of the middle observation
It is not affected by the extreme small or large values.
It can be computed for an-open ended frequency distribution
It can be applied for ordinal, interval and ratio data
Properties of Median
If n is odd, the median is the middle ranked
If n is even, then the median is the average of the two middle ranked values
Median for Ungrouped Data
The value in a data set that appears most frequently
Mode
fill in the blanks
A data may not contain any mode if none of the values is ______
most typical.
with 1 mode
unimodal
2 modes
Bimodal