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Question
question 4 of 10
what is the median of the following values?
45, 32, 21, 12, 9, 33, 69, 71, 28, 5
a. 28
b. 30
c. 33
d. 32
Step1: Arrange values in ascending order
5, 9, 12, 21, 28, 32, 33, 45, 69, 71
Step2: Determine position for median
There are \(n = 10\) values. Since \(n\) is even, the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+ 1)\)th ordered - values. \(\frac{n}{2}=\frac{10}{2}=5\) and \(\frac{n}{2}+1 = 6\).
Step3: Calculate the median
The 5th value is 28 and the 6th value is 32. Median\(=\frac{28 + 32}{2}=\frac{60}{2}=30\).
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B. 30