Final answer:
The mean of the data set 3, 7, 10, 29, 36, 16, 13, 8, 3 is calculated by summing the values and dividing by the number of data points, resulting in an approximate mean of 13.89.
Step-by-step explanation:
The student has asked to determine the mean of a set of data. To calculate the mean, which is the average of the data, we sum up all the data values and divide by the number of data points. Given the data set 3, 7, 10, 29, 36, 16, 13, 8, 3, first we add all the numbers together to get a total sum. The sum is 3 + 7 + 10 + 29 + 36 + 16 + 13 + 8 + 3 = 125. There are 9 numbers in the data set, so we then divide the sum by 9. This gives us a mean of 125 / 9 ≈ 13.89.
The median is the value that lies in the middle of a data set when it is ordered from least to greatest. In the given data set, when ordered (3, 3, 7, 8, 10, 13, 16, 29, 36), the median is the fifth value, which is 10. The mode is the number that appears most frequently, which in this set there is no mode since no number repeats. The midrange is calculated by adding the smallest and largest values and dividing by 2. For this set, the midrange is (3 + 36) / 2 = 39 / 2 = 19.5.