Final answer:
The range of the data set is 27. The mean is 42.2. The median is 40.5. The mode is 46.
Step-by-step explanation:
The range of the data set is the difference between the maximum and minimum values. In this case, the maximum value is 49 and the minimum value is 22, so the range is 49 - 22 = 27.
The mean is calculated by adding up all the values and dividing by the total number of values. In this case, the sum of all the values is 506 and there are 12 values, so the mean is 506 / 12 = 42.2.
To find the median, we first need to order the values from smallest to largest: 22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49. There are 12 values, so the median is the average of the 6th and 7th values, which are 40 and 41. Adding them together and dividing by 2 gives us a median of 40.5.
The mode is the value that appears most frequently in the data set. In this case, the mode is 46, because it appears twice, which is more than any other value.