Question
What are the medians of the two datasets listed? Dataset 1: (5,19,14,3,8,14,25,0,3,5,1)(5,19,14,3,8,14,25,0,3,5,1) Dataset 2: (5,19,14,3,8,14,25,0,3,5,1,7)
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GPT-4o mini
To find the median of each dataset, we first need to sort the data points in each dataset and then find the middle value.
**Dataset 1:**
(5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1)
1. Sort the data:
(0, 1, 3, 3, 5, 5, 8, 14, 14, 19, 25)
2. The number of data points (n) is 11 (an odd number), so the median is the middle value:
Median = 5 (the 6th number in the sorted list).
**Dataset 2:**
(5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7)
1. Sort the data:
(0, 1, 3, 3, 5, 5, 7, 8, 14, 14, 19, 25)
2. The number of data points (n) is 12 (an even number), so the median is the average of the two middle values:
Median = (5 + 7) / 2 = 6.
**Summary:**
- Median of Dataset 1: 5
- Median of Dataset 2: 6
**Dataset 1:**
(5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1)
1. Sort the data:
(0, 1, 3, 3, 5, 5, 8, 14, 14, 19, 25)
2. The number of data points (n) is 11 (an odd number), so the median is the middle value:
Median = 5 (the 6th number in the sorted list).
**Dataset 2:**
(5, 19, 14, 3, 8, 14, 25, 0, 3, 5, 1, 7)
1. Sort the data:
(0, 1, 3, 3, 5, 5, 7, 8, 14, 14, 19, 25)
2. The number of data points (n) is 12 (an even number), so the median is the average of the two middle values:
Median = (5 + 7) / 2 = 6.
**Summary:**
- Median of Dataset 1: 5
- Median of Dataset 2: 6
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