Answer: a. The mode of the data set is the most frequently occurring value. From the results, the most frequent sum is 7, which occurs 6 times. Therefore, the mode of the data set is 7.
b. To find the median, we need to arrange the data set in numerical order. The median is the middle value of the data set. Since the data set has 36 values, and 36 is an even number, the median will be the average of the 18th and 19th values in the ordered data set.
c. The mean of a data set is found by adding all the values and dividing by the number of values. To find the mean of this data set, we add up all the sums (2+3+4+...+12) and divide by 36.
d. The range is the difference between the largest and smallest values in a data set. In this case, the largest sum is 12 and the smallest sum is 2, so the range is 12-2 = 10
Please note that this is a simulation, if you want real results you should collect the data by throwing the dice 36 times and record the scores.
Explanation: