Answer:
Mean: 26.3077
Mode: 22 and 33
Median: 30
Range: 28
Explanation:
Mean: To calculate the mean, we add all the numbers in the set and divide by the total number. In this case, we have 13 numbers in the set. Therefore, the mean is: (12 + 17 + 19 + 31 + 22 + 25 + 27 + 30 + 22 + 33 + 33 + 35 + 40) / 13 = 26.3077
Mode: The mode is the number that appears most frequently in the set. In this case, there are two numbers that appear twice: 22 and 33. Therefore, both of these numbers are modes.
Median: To calculate the median, we first need to order the numbers in the set from smallest to largest. The ordered set is:
12, 17, 19, 22, 22, 25, 27, 30, 31, 33, 33, 35, 40
Since there are an odd number of numbers in the set, the median is the middle number. Therefore, the median is:
30
Range: The range is the difference between the largest and smallest numbers in the set. In this case, the largest number is 40 and the smallest is 12. Therefore, the range is:
40 - 12 = 28
Therefore, for this set of numbers:
Mean: 26.3077
Mode: 22 and 33
Median: 30
Range: 28