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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

Posted by Pushpendra Jangir 4 years, 10 months ago

CBSE > Class 11 > Mathematics

1 answers

Sia ? 4 years, 10 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

x_i	{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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