Question

In the data set below, what are the lower quartile, the median, and the upper quartile?
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lower quartile =


median =


upper quartile =

Answer 1

To find the lower quartile, median, and upper quartile of the data set provided (2, 4, 5, 6, 7, 9), we first need to order the numbers from least to greatest: 2, 4, 5, 6, 7, 9.

1. Lower Quartile (Q1):
- Halfway between the smallest number (2) and the median (6) is (2 + 6) / 2 = 4. Therefore, the lower quartile is 4.

2. Median:
- The median of the data set is the middle number, which is 5 in this case.

3. Upper Quartile (Q3):
- Halfway between the median (5) and the largest number (9) is (5 + 9) / 2 = 7. Therefore, the upper quartile is 7.

In summary:
- Lower Quartile = 4
- Median = 5
- Upper Quartile = 7