When data is arranged in ascending or descending order, it can be divided into various parts by different values such as quartiles, deciles and percentiles. These values are collectively called quantiles and are the extension of median formula which divides data into two equal parts. Since the basic purpose of these partition values is to divide data into different parts therefore a relationship exists between them. This relationship is given below and is elaborated with the help of simple problems.
Problem: In a work study investigation, the times taken by 20 men in a firm to do a particular job were tabulated as follows:
Prove that:
Second Quartile Q2
In case of frequency distribution, quartiles can be calculated by using the formula:
Fifth Decile D5
In case of frequency distribution, deciles can be calculated by using the formula:
50th Percentile P50
In case of frequency distribution, percentiles can be calculated by using the formula:
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what about when the data is decreasing, how do we find the quartile distribution?
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how do we find the frequency given just like the value of 90th percentile to be 77.5 in a grouped data…..kindly assist how we go about such comments please?
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Just consider if the Q1 value is 1and what should we put for c in the above formula as per your problem table
=L+h/f(1/4(N)-C)
1 is the first value of the table what should we put for the preceding value of 1 ie C..
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woow…what a nice explanation.thanks
Q1 =12.75
Q2 =15.5
Q3 =18.75
Thanks for your contribution in statistics
Junaidu yusuf shinkafi is really appreciated your efforts toward statistics
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Mathematics for life
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