For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table.
20
28
22
38
37
26
Minimum
First quartile
Median
Third quartile
17
For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table. 20 28 22 38 37 26 Minimum First quartile Median Third quartile
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To find the median, 1st quartile (Q1), and 3rd quartile (Q3) of the given data set, we first need to sort the data in ascending order:
Sorted Data:
20, 22, 26, 28, 37, 38
1. Median: The median is the middle value of the sorted data. Since there are 6 numbers (an even amount), the median will be the average of the two middle values (26 and 28):
[
text{Median} = frac{26 + 28}{2} = 27
]
2. First Quartile (Q1): This is the median of the first half of the data (20, 22, 26). Since there are 3 numbers, the median (Q1) is the second value:
[
text{Q1} = 22
]
3. Third Quartile (Q3): This is the median of the second half of the data (28, 37, 38). Again, since there are 3 numbers, the median (Q3) is the second value:
[
text{Q3} = 37
]
Final Values to Fill the Table:
– Minimum: 20
– First quartile (Q1): 22
– Median: 27