For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table.
17 18 22 24 26 30 33 37 39 44
26
38
37
20
Minimum
17
For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table. 17 18 22 24 26 30 33 37 39 44 26 38 37 20 Minimum 17
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To find the median, 1st quartile (Q1), and 3rd quartile (Q3) of the data set (17, 18, 22, 24, 26, 30, 33, 37, 39, 44), follow these steps:
1. Arrange the data: The data is already arranged in ascending order.
2. Find the median:
– The median is the middle value. For 10 data points, the median will be the average of the 5th and 6th values.
– 5th value = 26, 6th value = 30.
– Median = ((26 + 30) / 2 = 28).
3. Find the 1st quartile (Q1):
– Q1 is the median of the first half of the data (17, 18, 22, 24, 26).
– The 1st quartile is the 3rd value, which is 22.
4. Find the 3rd quartile (Q3):
– Q3 is the median of the second half of the data (30, 33, 37, 39, 44).
– The 3rd quartile is the 3rd value again, which is 37.
So in summary:
– Median: 28
– 1st