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
For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table
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To 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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