In the data set below, what are the lower quartile, the median, and the upper quartile?
2344577799
lower quartile =
median =
upper quartile =
Questions
To find the lower quartile, median, and upper quartile from the data set 2344577799, we first need to sort the numbers in ascending order:
2, 3, 4, 4, 5, 7, 7, 9, 9
Now, we can calculate the quartiles:
Lower quartile (Q1):
- There are 9 numbers in the data set, so Q1 is the median of the first half of the data set.
- The first half of the data set is 2, 3, 4, 4, 5. The median of this subset is 4.
- Therefore, the lower quartile (Q1) is 4.
Median:
- The median is the middle value of the data set when it is ordered.
- Since there are 9 numbers, the median is the middle number, which is 5.
Upper quartile (Q3):
- Also known as the third quartile, Q3 is the median of the second half of the data set.
- The second half of the data set is 7, 7, 9, 9. The median of this subset is 8.
- Therefore, the upper quartile (Q3) is 8.
In summary:
Lower quartile (Q1) = 4
Median = 5
Upper quartile (Q3) = 8