Question

question 11 of 11, step 1 of 1
find the median of the following set of data. round your answer to the nearest hundredth, if necessary.
19, 9, 80, 16, 35, 83, 43
answer
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Explanation:

Step1: Order the data

First, we need to sort the given data set \(19, 9, 80, 16, 35, 43\) (wait, the data seems a bit unclear, maybe it's \(9, 16, 19, 35, 43, 80\)? Wait, let's check the numbers: 19, 9, 80, 16, 35, 43. Let's sort them in ascending order. So arranging from smallest to largest: \(9, 16, 19, 35, 43, 80\). Wait, but the number of data points: let's count. The numbers are 19, 9, 80, 16, 35, 43 – that's 6 numbers? Wait, maybe a typo? Wait, the original problem: "19,9,80,16,35,43" – so 6 data points. Wait, median for even number of data points is the average of the two middle numbers. Wait, let's confirm the sorted list: 9, 16, 19, 35, 43, 80. The middle positions are the 3rd and 4th terms. So the 3rd term is 19, the 4th term is 35. Then the median is the average of these two: \(\frac{19 + 35}{2}\).

Step2: Calculate the median

Calculate \(\frac{19 + 35}{2}=\frac{54}{2} = 27\). Wait, but let's check again. Wait, the data set: 9, 16, 19, 35, 43, 80. Number of observations \(n = 6\), which is even. So median is the average of the \(\frac{n}{2}\)-th and \((\frac{n}{2}+1)\)-th terms. \(\frac{6}{2}=3\), so 3rd term is 19, 4th term is 35. So median is \(\frac{19 + 35}{2}=27\). Wait, but maybe I misread the data. Wait, the original problem: "19,9,80,16,35,43" – yes, 6 numbers. So sorted: 9,16,19,35,43,80. Middle two are 19 and 35. Average is 27.

Answer:

27