Question

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

Explanation:

List the given data set

We are given the following data set:

$$ 12, 9, 16, 1, 6, 5, 84 $$

The total number of values in this set is \(n = 7\).

Arrange the data in ascending order

To find the median, we first arrange the numbers from least to greatest:

$$ 1, 5, 6, 9, 12, 16, 84 $$

Identify the middle value

Since the number of values \(n = 7\) is odd, the median is the middle value at position:

$$ \frac{n + 1}{2} = \frac{7 + 1}{2} = 4\text{th position} $$

Looking at our ordered list:

1. First: \(1\)
2. Second: \(5\)
3. Third: \(6\)
4. Fourth: \(9\)
5. Fifth: \(12\)
6. Sixth: \(16\)
7. Seventh: \(84\)

The value at the 4th position is \(9\).

Answer:

• 1
• 9 (Correct answer)
• 19
• 83