Final answer:
To find the mean, add all numbers in a data set and divide by the count. The median is the middle value when the data is ordered, and the mode is the most frequent number.
Step-by-step explanation:
We need to find the mean, median, and mode of three different data sets provided in the question. The mean of a data set is the sum of all the numbers divided by the count of the numbers. The median is the middle value when the data set is ordered from least to greatest, and if there is an even number of observations, the median is the average of the two middle numbers. The mode is the number that appears most frequently in the data set.
Calculation of Data Sets
For the first data set (55, 77, -79, -26, -72, -53, 39, -77), we calculate the mean, median, and check for the mode. Once calculated, we repeat the process for the second (72, -15, -53, -21, -94, 86, 49, -38, 15, -57) and third data sets (-88, 40, -65, 43, -39, 57, 18, 45, -100, -31).
After performing the calculations, we would compare the results to the options provided (a, b, c, d) to determine the correct one. The calculations involve adding all numbers and then dividing by the count for the mean, ordering the numbers and finding the middle value for the median, and looking for the most repeated number for the mode.