Final answer:
A value that is -2.5 standard deviations from the mean of 35 in a distribution is 22.5. This is computed using the formula for standard deviation in which we multiply the number of standard deviations wanted from the mean by the standard deviation and add it to the mean.
Step-by-step explanation:
If a distribution has a mean of 35 and a standard deviation of 5, to find a value that is -2.5 standard deviations from the mean, we can use the equation:
Value = Mean + (#ofSTDEVS)(Standard Deviation)
Here, #ofSTDEVS is the number of standard deviations we want to calculate from the mean, which in this case is -2.5 because we are looking for a value 2.5 standard deviations below the mean. So we plug in our values:
Value = 35 + (-2.5)(5)
Value = 35 - 12.5
Value = 22.5
Therefore, a value that is -2.5 standard deviations from the mean of 35 is 22.5.