If the mean of 100 observations is 50, then the sum of all the observations is ____.

5000

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5260

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5050

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5105

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Solution

The correct option is A 5000
Given: Mean = 50 and Total number of observations = 100,

As we know that the formula for mean is :
$M e a n = \frac{S u m o f o b s e r v a t i o n s}{N u m b e r o f o b s e r v a t i o n s}$

Sum of all observations
= Mean × Number of observations
= 50 × 100 = 5000

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