If a data set has an even number of observations,

prsategazd 2021-12-11 Answered
If a data set has an even number of observations, the median

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Expert Answer

Bob Huerta
Answered 2021-12-12 Author has 4510 answers
Step 1
We have given that
If a data set has an even number of observations
Step 2
If data set has an even number of observations then Median is
Median \(\displaystyle={\left({\frac{{{\frac{{{n}}}{{{2}}}}-{t}{h}\ {t}{e}{r}{m}+{\left({\frac{{{n}}}{{{2}}}}+{1}\right)}-{t}{h}\ {t}{e}{r}{m}}}{{{2}}}}\right)}\)
For example the data are 1,3,4,5,6,4
The data arrange in increasing order and the increasing order are 1,3,4,4,5,6
\(\displaystyle{M}{e}{d}{i}{a}{n}={\left({\frac{{{\frac{{{6}}}{{{2}}}}-{t}{h}\ {t}{e}{r}{m}+{\left({\frac{{{6}}}{{{2}}}}+{1}\right)}-{t}{h}\ {t}{e}{r}{m}}}{{{2}}}}\right)}\)
\(\displaystyle{M}{e}{d}{i}{a}{n}={\frac{{{3}-{t}{h}\ {t}{e}{r}{m}+{4}-{t}{h}\ {t}{e}{r}{m}}}{{{2}}}}={\frac{{{4}+{4}}}{{{2}}}}={4}\)
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