Question

What is the value of mean deviation for the following observation 50, 50, 60, 50, 60, 60, 50, 50

Answer 1

Answer:

Step-by-step explanation:

Answer-272.5

50+50+50+50+50+60+60+60+60÷8

=430÷8=272.5

Answer 2

Answer:

$\red {Mean \: deviation}\green {= 4.6875}$

Step-by-step explanation:

$Given \: observations \: are \: 50,50,60,50,\\60,60,50,50$

$\boxed {\pink { Mean (\overline {x}) = \frac{Sum \:of \:the \: observations }{Total \: number \:of \: observations} }}$

$= \frac{ 50+50+60+50+60+60+50+50}{8}\\= \frac{430}{8}\\= 53.75$

$\boxed { \orange { Mean \: deviation = \frac{ \sum | x_{i} -\overline { x}|}{n} }}$

$= \frac{ |50-53.75| +|50-53.75| +|60-53.75| +|50-53.75| +|60-53.75| +|60-53.75| +|50-53.75| +|50-53.75| }{8}\\= \frac{ 3.75+3.75+6.25+3.75+6.25+6.25+3.75+3.75}{8}\\= \frac{37.5}{8}\\= 4.6875$

Therefore.,

$\red {Mean \: deviation}\green {= 4.6875}$

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