In the data set below, what are the lower quartile, the median, and the upper quartile?2345577779lower quartile = median = upper quartile =
Question
In the data set below, what are the lower quartile, the median, and the upper quartile?
Data Set: 2345577779
- Lower Quartile =
- Median =
- Upper Quartile =
Solution
The data set you provided is: 2, 3, 4, 5, 5, 7, 7, 7, 7, 9.
First, we need to sort the data set in ascending order, but it's already sorted.
Next, we find the median (middle value). Since there are 10 numbers, the median is the average of the 5th and 6th numbers, which are both 5. So, the median is 5.
The lower quartile (Q1) is the median of the lower half of the data. Since the median is the 5th and 6th numbers, the lower half of the data is 2, 3, 4, 5, 5. The median of this set is 4.
The upper quartile (Q3) is the median of the upper half of the data. The upper half of the data is 7, 7, 7, 7, 9. The median of this set is 7.
So, the lower quartile is 4, the median is 5, and the upper quartile is 7.
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