The mean of n observations is . If the first observation is increased by 1, second by 2 and so on, then the new mean is : 1. + n 2. + 3. + 4. +

Question

KnowledgeBoat · Accepted Answer

Let the n observations x1, x2, ......., xn. The mean is . Given, The first observation is increased by 1, second by 2 and so on. New sum of observations = (x1 + 1)+ (x2 + 2)+ .......+ (xn + n) = (x1+ x2+ .......+ xn) + (1 + 2 + ..... + n) = x + (1 + 2 + 3 + ... + n) Hence, option 3 is the correct option.

Mathematics

The mean of n observations is . If the first observation is increased by 1, second by 2 and so on, then the new mean is : 1. + n 2. + 3. + 4. +

Measures of Central Tendency

Related Questions

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Mathematics

The mean of n observations is . If the first observation is increased by 1, second by 2 and so on, then the new mean is : 1. + n 2. + 3. + 4. +

Measures of Central Tendency

Related Questions

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The mean of 5 numbers is 27. If one of the numbers be excluded, their mean is 25. The excluded number is :
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For what value of x the mean of the given observations (2x − 5), (x + 3), (7 − x), (5 − x) and (x + 9) with frequencies 2, 3, 4, 6 and 1 respectively is 4?
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