Question

is 5th decile always equal to median?

Answer 1

It distribute by two equal halfs

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Answer 2

Decials

• Decials are the partition which divide the set of observation into 10 equal parts
• It represent a useful partition value which is widely used in the field of statistics and for data study
• we generally have 9 decials
• Since median is the middle most value of a distribution, fifth decial is considered to be the median.
• Thus, for any observation the fifth decial will correspond to the median of the observation, that is the central value.
• For a continuous frequency distribution that decial could be found out by using the standard equation given by,

$D=l + \bigg( \dfrac{iN}{10} - cf \bigg) \dfrac{h}{f}$