How can I find the three quartiles in the data set of 4, 5, 8, 7, 11, 9, 9?

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To find the three quartiles in the given data set (4, 5, 8, 7, 11, 9, 9), we first need to organize the data in ascending order:

Sorted Data Set:
4, 5, 7, 8, 9, 9, 11

Next, we will determine the quartiles:

  1. First Quartile (Q1): This is the median of the first half of the data set. Since we have 7 observations, the first half consists of the first 3 numbers (4, 5, 7). The median is the middle number:
    • Q1 = 5
  2. Second Quartile (Q2): This is the median of the entire data set. With 7 total numbers, the median is the fourth number:
    • Q2 = 8
  3. Third Quartile (Q3): This is the median of the second half of the data set. The second half consists of the last 3 numbers (8, 9, 11). Again, the median is the middle number:
    • Q3 = 9

Final Quartile Values:
Q1 = 5, Q2 = 8, Q3 = 9

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