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 a set of numbers, you need to sum up all the numbers and divide the result by the total number of scores. In this case, we have 40 scores and the mean is -29.
To calculate the sum of the original scores, we can multiply the mean by the total number of scores: -29 * 40 = -1160.
Now, we are asked to add 5 to each score and then divide the result by -4 for every score. Let's perform these operations to find the new scores:
Step 1: Add 5 to each original score: -29 + 5 = -24.
Step 2: Divide each new score by -4: -24 / -4 = 6.
Now we have 40 new scores. To find the mean of these new scores, we sum up all the new scores and divide the result by the total number of scores (which is still 40).
Again, we can calculate the sum of the new scores by multiplying the mean by the total number of scores: 6 * 40 = 240.
Finally, to find the mean of the new scores, we divide the sum of the new scores by the total number of scores: 240 / 40 = 6.
Therefore, the mean of the new scores is 6.