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Calculate the mean deviation about the …

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Calculate the mean deviation about the median of the following observations 3011,2780,3020,2354,3541,4150,5000
  • 1 answers

Sia ? 6 years, 6 months ago

First arrange the given numbers in ascending order
write these numbers in ascending order
3011, 2780, 3020, 2354, 3541, 4150, 5000
we get 2354, 2780, 3011, 3020, 3541, 4150, 5000
Clearly, the middle number is median, 3020
Calculation of Mean Deviations

xi {tex}\left|d_{i}\right|=\left|x_{i}-3020\right|{/tex}
3011 9
2780 240
3020 0
2354 666
3541 521
4150 1130
5000 1980
Total {tex}d_{i}=\sum\left|x_{i}-3020\right|=4546{/tex}

{tex}M. D.=\frac{\sum d_{i}}{n}=\frac{4546}{7}=649.428{/tex}

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