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Properties of Measures of Central Tendency

Find the mean...

Question

Find the mean, median and mode $5, 8, 5, 7, 5, 8, 5, 8, 5, 8$ .

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Solution

Given $5, 8, 5, 7, 5, 8, 5, 8, 5, 8.$
Ascending $5, 5, 5, 5, 5, 7, 8, 8, 8, 8$
Mean $= \frac{s u m o f o b s e r v a t i o n}{n o . o f o b s e r v a t i o n}$
$= \frac{5 + 5 + 5 + 5 + 5 + 7 + 8 + 8 + 8 + 8}{10}$
$= \frac{64}{10} = 6.4$
Median:-As even
$= \frac{5 + 7}{2} = \frac{12}{2} = 6$
Mode:-Repeated value no. of times
i.e; $5$

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Q. The relation between mean, mode and median is
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(a) Mode = 3 Median − 2 Mean

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(a) $m o d e = (3 \times m e a n) - (2 \times m e d i a n)$

(b) $m o d e = (3 \times m e d i a n) - (2 \times m e a n)$

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(d) $m e a n = (3 \times m e d i a n) - (2 \times m o d e)$

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