For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table.
26
38
37
20
Question & Answer
For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table
1 Answer
Verified archiveTo find the median, 1st quartile (Q1), and 3rd quartile (Q3) for the data set: 26, 38, 37, 20, follow these steps:
1. Sort the Data: Arrange the numbers in ascending order:
– 20, 26, 37, 38
2. Find the Median: The median is the middle value. For a set of four numbers:
– Median = (26 + 37) / 2 = 26.5
3. Find the 1st Quartile (Q1): This is the median of the first half of the data. The first half is 20 and 26:
– Q1 = (20 + 26) / 2 = 23
4. Find the 3rd Quartile (Q3): This is the median of the second half of the data. The second half is 37 and 38:
– Q3 = (37 + 38) / 2 = 37.5
### Summary of Results:
– Median: 26.5
– 1st Quartile (Q1): 23
– 3rd Quartile (Q3): 37.5
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