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Math  /  Data & Statistics

QuestionWhat is the median of this data set? 225668911\begin{array}{llllllll} 2 & 2 & 5 & 6 & 6 & 8 & 9 & 11 \end{array} 5 6 8 7

Studdy Solution

STEP 1

1. The data set contains eight data points: 2,2,5,6,6,8,9,11 2, 2, 5, 6, 6, 8, 9, 11 .
2. The median of a set with an even number of elements is the average of the two middle values.

STEP 2

1. Confirm the data points are ordered.
2. Identify the two middle values.
3. Calculate the median by averaging the two middle values.

STEP 3

Confirm the data points are ordered:
2,2,5,6,6,8,9,11 2, 2, 5, 6, 6, 8, 9, 11

STEP 4

Identify the two middle values. Since there are 8 data points, the middle values are the 4th and 5th values:
6 and 6 6 \text{ and } 6

STEP 5

Calculate the median by averaging the two middle values:
Median=6+62=122=6\text{Median} = \frac{6 + 6}{2} = \frac{12}{2} = 6
The median is:
6 \boxed{6}

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