For the data set shown, find the median, the 1st quartile, and the 3rd quartile. Drag the correct values into the table.
Minimum
First quartile
Median
Third quartile
60
49
37
61
46
35
33
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To find the median, 1st quartile (Q1), and 3rd quartile (Q3) of the provided data set, we’ll first organize the numbers in ascending order:
Sorted Data Set: 33, 35, 37, 46, 49, 60, 61
Step 1: Find the Median.
The median is the middle value in a sorted list. Since there are 7 values (an odd number), the median is the 4th value.
– Median = 46
Step 2: Find the 1st Quartile (Q1).
Q1 is the median of the first half of the data (the first half contains the first 3 numbers: 33, 35, 37).
– Q1 = 35 (the second value of the first half).
Step 3: Find the 3rd Quartile (Q3).
Q3 is the median of the second half of the data (the second half contains the last 3 numbers: 49, 60, 61).
– Q3 = 60 (the second value of the second half).
Now we can fill in the table:
– Minimum: 33
– First Quartile (Q1): 35
– Median: 46
– Third Quartile (Q3): 60
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