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Question

The mean score of 25 observations is 80 and the mean score of another 55 observations is 60. Determine the mean score of the whole set of observations.

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Solution

Mean score of 25 observations = 80
Sum of the scores of 25 observations = 80×25 = 2000
Mean score of another 55 observations = 60
Sum of the scores of another 55 observations = 60×55 = 3300

Mean score of the whole set of observations=Sum of the scores of 25 observations+Sum of the scores of another 55 observationsTotal number of observations

=2000+330080=530080=66.25

Therefore, the mean score of the whole set of observations is 66.25.

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