The mean of 40 scores is found to be -29. If each score had 5 added to it, and then divided by -4, what would the mean of these new scores be?
To find the mean of the new scores, we need to apply the given operations to each score and then calculate the mean.
Let's break down the problem step by step:
Step 1: Find the sum of the original scores.
To find the sum of the original scores, we need to multiply the mean by the number of scores. Given that the mean is -29 and the number of scores is 40, we can calculate the sum by multiplying -29 by 40:
Sum = -29 * 40 = -1160
Step 2: Add 5 to each score.
To add 5 to each score, we need to add 5 to the sum we calculated in Step 1:
Updated Sum = -1160 + (5 * 40) = -1160 + 200 = -960
Step 3: Divide each score by -4.
To divide each score by -4, we need to divide the updated sum by -4:
Mean = Updated Sum / Number of scores = -960 / 40 = -24
Therefore, the mean of the new scores, after adding 5 to each score and then dividing by -4, would be -24.