In statistics a central tendency is a central value or a typical value for probability distribution
It is occasionally called an average or just the center of the distribution
The most common measures of central tendency are the arithmetic mean the median, and the mode
Importance Of Central Tendency
To find representative value.
To make more brief data.
To make comparison
Mean
The mean is calculated by adding all the numbers in the data together and dividing by the number elements contained in data set.
Example
Data set 2,5,9,3,5,4,7
Mean calculated as
2+5+9+3+5+4+7 divided by 7
2+5+9+3+5+4+7 =5
7
Median(middle)
The Median of data set is dependent on whether the number of elements in the data set is odd or even.
First reorder the data set from the smallest to the largest.
Mark off high and low values until you reach the middle.
If there 2 middles, add term and divided by 2.
Mode: Most Often
The Mode for a data set is the element that occurs the most often
It is not uncommon for a data set to have more than one mode
This happens when two or more elements occur with equal frequency in the data set
Steps to Finding Standard Deviation
Find the mean of the set of data:
Find the difference between each value and the mean:
Square the difference
Find the average (mean) of these squares:
Take the square root to find the standard deviation
Z-Score :More Measures of Variation
Z-Score: The Z-Score is the number of standard deviations that a value is from the mean.
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