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 first need to add 5 to each of the original scores and then divide each of those sums by -4. Let's break down the steps:
1. Find the sum of the original 40 scores: To find the sum, we multiply the mean by the number of scores. In this case, the sum of the original 40 scores would be -29 multiplied by 40, which equals -1160.
2. Add 5 to each score: To find each new score, we add 5 to the original score. For example, if one of the original scores was X, the corresponding new score would be X + 5.
3. Divide each new score by -4: To calculate each new score, we divide the sum of the original score and 5 by -4. So, the new score would be (X + 5) / -4.
4. Find the sum of the new scores: We add up each of the new scores to find the sum. For example, if X1, X2, X3, ... represent the original scores, the sum of the new scores would be (X1 + 5) / -4 + (X2 + 5) / -4 + (X3 + 5) / -4 + ...
5. Find the mean of the new scores: To find the mean, we divide the sum of the new scores by the number of scores. Since we started with 40 scores, the mean of the new scores would be the sum of the new scores divided by 40.
By following these steps, you should be able to calculate the mean of the new scores.