Question

Statistics course, chapter of data discription,

easy summary of measures of variation with example please.

Answer 1

Solution:

Suppose this id given data

8
10
10
15
15
15
16
19
20
22
23
24
26
28
29
32

Now measures of variation is

variance

standard deviation

Range

IQR (Inter quartile range )

Vaiance	stad dev	Q1	Q3	max	min	Range	IQR
52.4	7.2388	15	24.5	32	8	24	9.5

variance :

variance is the expectation of the squared deviation of a random variable from its mean. Informally, it measures how far a set of numbers are spread out from their average value.

formula is

standard deviation:

the standard deviation (SD) is a measure of the amount of variation or dispersion of a set of values A low standard deviation indicates that the values tend to be close to the mean of the set,

formula is

Range : is the diffrance between largrest value from data and smallest value from data

IQR (Inter quartile range ) : it the Range of data which lies between midale 50% area .

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