MCQ 2511 Mark
Which one of the following is not a measure of central value?
- AMean
- BMode
- CMedian
- ✓Range
Answer
View full question & answer→Correct option: D.
Range
We know that mean, median and mode are all measures of central tendency.
We know that mean, median and mode are all measures of central tendency.
$3$ Median = $2$ Mean + Mode
$\Rightarrow 3$ Median – Mode = $2$ Mean
$\Rightarrow\text{Mean}=\frac{3}{2}\text{ Median }-\frac{\text{Mode}}{2}$
$\Rightarrow\text{Mean}+\frac{3}{2}\text{ Median }-\frac{\text{Mode}}{2}-\text{Mode = Mean}$
$\Rightarrow\text{Mean}+\frac{3}{2}\text{(Median - }\text{Mode) = Mean}$
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Varible
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$1$
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$2$
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$x$
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$4$
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$5$
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Frequency
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$2$
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$3$
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$4$
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$5$
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$6$
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From the given frequency distribution table:
$3.5=\frac{2\times1+3\times2+4\text{x}+5\times4+6\times5}{2+3+4+5+6}$
$3.5=\frac{2+6+4\text{x}+20+30}{20}$
$70 + 4x + 58$
$4x = 12$
$x = 3$
