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 =

1 answer

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