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Example of Sample Mean. • data. Then: 21,25,32,48,53,62,62,64 ... •Estimate the mean from grouped data ... The pth percentile of a data set is a.
Typology: Study notes
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Calculate the mean for a given data set
Find the median, and describe why the median is sometimes preferable to the mean
Find the mode of a data set
Describe how skewness affects these measures of center
the value at the center or middle of a data set
center are the mean, the median, and the mode.
Greek letter sigma used to denote the sum of a set of values.
x is the variable usually used to represent the data values.
n represents the number of data values in a sample.
x 1 (^) , x 2 ,, xn
x x 1 x 2 xn
x = n
x
is pronounced „x - bar‟ and denotes the
mean of a set of sample values
x
N
μ =
x
Note: here x represents the data values in the population
Advantages
Is relatively reliable: means of samples drawn from the same population don‟t vary as much as other measures of center
Takes every data value into account
the measure of center which is the middle value when the original data values are arranged in order of increasing (or decreasing) magnitude
First sort the values (arrange them in order), the follow one of these
th n
5.40 1.10 0.42 0.73 0.48 1.
(even number of values – no exact middle)
0.42 0.48 0.66 0.73 1.10 1.10 5.
From Example 3.3, page 91
Mode
the value that occurs with the greatest frequency
Data set can have one, more than one, or no mode
