The mean of the data set is 22.53, the median is 17, and the mode is 13. These statistical measures are determined by adding and arranging the data points, and identifying the most frequently occurring number.
To find the mean, median, and mode of the given data set, we need to first arrange the numbers in ascending order and then apply the appropriate formulas.
The arranged data set: 0.2, 2.3, 4.8, 6, 11.3, 12.5, 13, 13, 17, 20.6, 22.2, 25.8, 28.5, 40.2, 44, 62.7, 68.9
Mean Calculation:
Add all the numbers together and then divide by the total number of data points.
Mean = (0.2 + 2.3 + 4.8 + 6 + 11.3 + 12.5 + 13 + 13 + 17 + 20.6 + 22.2 + 25.8 + 28.5 + 40.2 + 44 + 62.7 + 68.9) / 17
Mean = 383.0 / 17 = 22.53
Median Calculation:
Since there are 17 numbers, the median is the middle number, which in this case is the 9th number after arranging the data.
Median = 17 (the 9th number)
Mode Calculation:
The mode is the number that appears most frequently in the data set. Since 13 appears twice and the rest of the numbers only appear once, the mode is 13.