Gujarat BoardEnglish MediumSTD 7MATHSData Handling1 Mark
Question
Mean, Median and Mode may be the same for some data.
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Answer
Data $($in ascending order$) → 3, 3, 4, 4, 4, 4, 6$
Here, $n = 7 ($odd$)$
Median $=$ Value of $\Big(\frac{\text{n+1}}{2}\Big)\text{th}$ observation = Value of $\Big(\frac{7+1}{2}\Big)\text{th}$
observation $= 4$
$\text{Mean}=\frac{\text{Sum of observation}}{\text{n}}$
$=\frac{3+3+4+4+4+4+6}{7}=\frac{28}{7}$
$=4$
Hence,
Mean $=$ Mode $=$ Median
Mean, median and mode can be the same for some data.
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