Final answer:
The sum of all the test scores is 2052.
Step-by-step explanation:
The mean (average) score of a set of test scores is calculated by summing up all the individual scores and then dividing by the total number of scores.
The mean score on a set of 27 tests is 76. To find the sum of all the test scores, you can multiply the mean score by the number of tests. In this case, the sum of all the test scores would be 76 times 27, which equals 2052.
It's worth noting that the mean is just one measure of central tendency, and while it provides an average, it may not fully represent the distribution of scores, especially if there are extreme values (outliers) in the data. Other measures of central tendency include the median and mode, which may be useful in different situations.