Determine the mean, median, mode, and midrange of the set of data.
\[
2,6,10,25,35,15,11,9,2 \text { 미 }
\]
Answer
So, the mean of the data set is approximately \(\boxed{12.78}\), the median is \(\boxed{10}\), the mode is \(\boxed{2}\), and the midrange is \(\boxed{18.5}\).
Step 1 ：Given the data set is [2, 6, 10, 25, 35, 15, 11, 9, 2].
Step 2 ：First, we calculate the mean of the data set. The mean is the sum of all numbers divided by the count of numbers. So, the mean is \((2+6+10+25+35+15+11+9+2) / 9 = 12.78\).
Step 3 ：Next, we find the median of the data set. The median is the middle number in a sorted list. If the list has an even number of observations, the median will be the average of the two middle numbers. In this case, the median is 10.
Step 4 ：Then, we determine the mode of the data set. The mode is the number that appears most frequently. In this case, the mode is 2.
Step 5 ：Finally, we calculate the midrange of the data set. The midrange is the average of the maximum and minimum values in the data set. So, the midrange is \((35+2) / 2 = 18.5\).
Step 6 ：So, the mean of the data set is approximately \(\boxed{12.78}\), the median is \(\boxed{10}\), the mode is \(\boxed{2}\), and the midrange is \(\boxed{18.5}\).
