Questions: 12,9,16,1,6,5,84 What is the median of the data set shown? 1 9 19 83

12,9,16,1,6,5,84 What is the median of the data set shown? 1 9 19 83
Transcript text: ACCUPLACER Quantitative Reasoning, Algebra, and Statistics - Question 13 of 20 Instructions Choose the best answer. If necessary, use the paper you were given. Question $12,9,16,1,6,5,84$ What is the median of the data set shown? 1 9 19 83
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Solution

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Solution Steps

Step 1: Arrange the Data Set in Ascending Order

First, we need to arrange the given data set in ascending order. The data set is:
\[ 12, 9, 16, 1, 6, 5, 84 \]

Arranging these numbers in ascending order gives:
\[ 1, 5, 6, 9, 12, 16, 84 \]

Step 2: Determine the Number of Data Points

Count the number of data points in the ordered data set.
There are 7 data points.

Step 3: Find the Median

Since there are 7 data points (an odd number), the median is the middle number in the ordered list.
The middle number is the 4th number in the list:
\[ 1, 5, 6, \boxed{9}, 12, 16, 84 \]

Final Answer

The median of the data set is \(\boxed{9}\).

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