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What is the median of the data? 2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,6,6,6

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To find the median of a data set, you need to follow these steps:

  1. Order the data: The data you provided is already ordered: \(2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6\)

  2. Count the number of data points: There are 25 values in this data set.

  3. Locate the median position: Since there are 25 values (an odd number), the median will be the value at the \((n+1)/2\) position, where \(n\) is the number of data points. \[ \frac{25 + 1}{2} = 13 \] So the median is the 13th value in the ordered list.

  4. Find the 13th value: Counting through the list:

    • 1st: 2
    • 2nd: 2
    • 3rd: 2
    • 4th: 2
    • 5th: 3
    • 6th: 3
    • 7th: 3
    • 8th: 3
    • 9th: 3
    • 10th: 4
    • 11th: 4
    • 12th: 4
    • 13th: 4

Thus, the 13th value is \(4\).

Therefore, the median of the data set is 4.