What are the absolute measures of dispersion?
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Answers ( 8 )
1) Range
2) Standard Deviation
3)Mean Deviation
4) Quartile Deviation
– Interquartile range
– variance
– standard deviation
The absolute Measures of Dispersion are :
1. Range : The interval in which values of a dataset lie. Range is generally the difference between largest and the smallest value of the variable.
2. Quartile Deviation: It is half of the difference between First and Third quartile ((Q3-Q1)/2).
3. Variance: It gives us the info about how far the data is spread from its mean.
4. Standard Deviation: It is the positive square root of the variance.
5. Mean Deviation: It shows how far on average are all the values from the median.
The different measures of dispersion are:
1. Range: It is the interval in which the values of a variable lie within. It is the difference between the largest and the smallest value of that variable
2. Quartile Deviation: It is half the difference between the Third and First quartile. ((Q3-Q1)/2).
3. Standard Deviation: It is the positive square root of the variance. Variance tells us how far the data is spread around the mean.
4. Mean Deviation: It tells us how far are all the values from the median.
1) Range
2) Standard Deviation
3) Mean
4) Quartile
5) Variance
The absolute measure of dispersion
1. Range
2. IQR
3. Standard deviation
4. Variance
Absolute Measure of Dispersion gives an idea about the amount of dispersion/ spread in the data set.
Absolute Measures of dispersion are :
1.Range -the difference between the largest and smallest values of the variable.
example – 10,15,20,5,40,50
Range =50-5
= 45
The range is easy to calculate and easy to understand but it gives a rough answer and is not based on all observations.
2. Inter Quartile Range – (Q3-Q1)
3. Standard deviation -The Standard Deviation is the positive square root of the mean of the square deviations taken from arithmetic mean of the data.
4. Mean Deviation – It is an average of the absolute values of the deviation from the mean.
Attachment
Range
Standard deviation
Mean deviation
Inter Quartile Range