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The median of 4, 4, 5, 7, 6, 7, 7, 12, 3 is:
Question

The median of 4, 4, 5, 7, 6, 7, 7, 12, 3 is:

A.

4

B.

7

C.

5

D.

6

Correct option is D

Given:

We have a set of numbers:
4, 4, 5, 7, 6, 7, 7, 12, 3

Formula Used:

To find the median of a set of numbers, we need to:
1. Arrange the numbers in ascending order.
2. If the number of values n is odd, the median is the middle value in the ordered list.
3. If n is even, the median is the average of the two middle values.

Solution:

Arrange the numbers in ascending order:
3, 4, 4, 5, 6, 7, 7, 7, 12

The set has 9 values, which is an odd number. Therefore, the median is the middle value:

Middle position = 9+12=5 \frac{9 + 1}{2} = 5​​

The 5th value in the ordered list is 6.

Thus, the median of the set is 6.

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