Students scores in an entry exam has a mean of X=35 and a standard deviation of 5. It was agreed that 3 points should be added to every score during the moderation of the results. Determine the new values for the mean and standard deviation.

Mathematics
Students scores in an entry exam has a mean of X=35 and a standard deviation of 5. It was agreed that 3 points should be added to every score during the moderation of the results. Determine the new values for the mean and standard deviation.

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Question e) Students scores in an entry exam has a mean of xˉ=35\bar{x} = 35 and a standard deviation of 5. It was agreed that 3 points should be added to every score during the moderation of the results. Determine the new values for the: i) mean ii) standard deviation.

Step 1: Determine the new mean. When a constant value is added to every score, the mean increases by that constant value. Original mean xˉ=35\bar{x} = 35. Points added = 3. NewMean=xˉ+3=35+3=38New Mean = \bar{x} + 3 = 35 + 3 = 38 The new mean is 38\boxed{38}.

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