Problem

Determine the mean, median, mode, and midrange of the set of data.
\[
1,7,10,27,34,15,11,9,1 \text { 만 }
\]

What is the mean?
12.8 (Round to the nearest tenth as needed.)

What is the median?
10 (Type an integer or a decimal.)
What is/are the mode(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The mode is 1 . (Use a comma to separate answers as needed.)
B. There is no mode.

What is the midrange?
(Round to the nearest tenth as needed.)

Answer

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Answer

Final Answer: The mean of the data set is \(\boxed{12.8}\), the median is \(\boxed{10}\), the mode is \(\boxed{1}\), and the midrange is \(\boxed{17.5}\).

Steps

Step 1 :First, we need to sort the data set in ascending order. The sorted data set is \[1, 1, 7, 9, 10, 11, 15, 27, 34\].

Step 2 :To find the mean, we add up all the numbers in the data set and divide by the number of items in the data set. The mean is \(\frac{1+1+7+9+10+11+15+27+34}{9} \approx 12.8\).

Step 3 :The median is the middle number in a sorted data set. Since our data set has 9 items, the median is the 5th item, which is 10.

Step 4 :The mode is the number that appears most frequently in the data set. In our data set, the number 1 appears twice, more than any other number, so the mode is 1.

Step 5 :The midrange is the average of the smallest and largest numbers in the data set. The midrange is \(\frac{1+34}{2} = 17.5\).

Step 6 :Final Answer: The mean of the data set is \(\boxed{12.8}\), the median is \(\boxed{10}\), the mode is \(\boxed{1}\), and the midrange is \(\boxed{17.5}\).

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