Answer :
Final answer:
The mean of the data set is 16.4125, the median is 18.3, and the mode is 10.1.
Explanation:
To calculate the mean, median, and mode for the given data set 10.1, 20.2, 16.7, 9.9, 10.1, 24.4, 19.9, 20.0, you first need to organize the data and then use the appropriate formulas for each calculation.
- First, order the data from smallest to largest: 9.9, 10.1, 10.1, 16.7, 19.9, 20.0, 20.2, 24.4.
- To find the mean, add all the data points and divide by the number of data points: (9.9 + 10.1 + 10.1 + 16.7 + 19.9 + 20.0 + 20.2 + 24.4) / 8 = 131.3 / 8 = 16.4125.
- The median is the middle number in an ordered list. Since there are 8 numbers, the median will be the average of the 4th and 5th numbers: (16.7 + 19.9) / 2 = 18.3.
- The mode is the number that appears most frequently. In this set, 10.1 is the only number that appears more than once, so it is the mode.
Therefore, the mean is 16.4125, the median is 18.3, and the mode is 10.1.
