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.

Question e)
Students scores in an entry exam has a mean of $\bar{x} = 35$ 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 $\bar{x} = 35$.
Points added = 3.

$$\text{New Mean} = \bar{x} + 3 = 35 + 3 = 38$$

The new mean is $\boxed{\text{38}}$.

Step