Calculate the 5-number summary of the skewed dataset 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 14, 16. Which of the following choices is quartile 3?(1
To calculate the 5-number summary, we need to find the minimum, maximum, median, and quartiles of the dataset.
1. Minimum: 5
2. Maximum: 16
3. Median (Q2): (8th value + 9th value) / 2 = (8 + 8) / 2 = 8
4. Quartile 1 (Q1): (4th value + 5th value) / 2 = (7 + 7) / 2 = 7
5. Quartile 3 (Q3): (10th value + 11th value) / 2 = (9 + 9) / 2 = 9
Therefore, quartile 3 is 9.