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Question
for exercises 8 and 9, answer the questions. 8. the numbers of flowers blooming on different plants are: 7, 2, 0, 34, 26, 17. what is the median number of flowers blooming on the plants?
Step1: Order the data
First, we need to order the given data set from smallest to largest. The data set is \(7, 2, 0, 34, 26, 17\). When we order it, we get \(0, 2, 7, 17, 26, 34\).
Step2: Find the median
Since there are \(n = 6\) (an even number) of data points, the median is the average of the two middle numbers. The two middle numbers are the \(\frac{n}{2}\)-th and \((\frac{n}{2}+ 1)\)-th numbers. Here, \(\frac{6}{2}=3\)-rd number and \((\frac{6}{2}+ 1)=4\)-th number. The 3rd number is \(7\) and the 4th number is \(17\). The average of \(7\) and \(17\) is \(\frac{7 + 17}{2}=\frac{24}{2}=12\).
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