Question - Understanding Quartiles and Median
Solution:
To solve for the lower quartile, median, and upper quartile, we need to understand that these are measures of central tendency and dispersion within a dataset.1. **Lower quartile (Q1)**: This is the median of the first half of the dataset. Since there are five data points, we divide the dataset into two parts, with the median being the third number. For the first half (2, 6, 6), the lower quartile is the median of these, which is 6.2. **Median**: This is the middle value of the dataset when it is ordered. Since the dataset (2, 6, 6, 7, 9) is already ordered and has an odd number of data points, the median is the middle number, which is 6.3. **Upper quartile (Q3)**: This is the median of the second half of the dataset. For the second half (6, 7, 9), the upper quartile is the median of these, which is 7.So, your answers are:Lower quartile (Q1) = 6Median = 6Upper quartile (Q3) = 7
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