I do not understand how to Give the five-number summary of each set of numbers. Can someone please help me?
7, 7, 5, 4, 1, 9, 8, 8, 8, 5, 2
http://en.wikipedia.org/wiki/Five-number_summary
start by putting the numbers in order.
1,2,4,5,5,7,7,8,8,8,9
The minimum and maximum are obvious.
The median is the sixth number (11 items, five above, and five below).
The lower quartile is 4, the upper quartile is 8
http://www.statcan.ca/english/edu/power/ch12/range.htm#quartiles
how do i divide
To give the five-number summary of a set of numbers, follow these steps:
1. Put the numbers in order from least to greatest: 1, 2, 4, 5, 5, 7, 7, 8, 8, 8, 9.
2. The minimum value is the smallest number in the set, which is 1.
3. The maximum value is the largest number in the set, which is 9.
4. The median is the middle value of the set. In this case, since there are 11 numbers, we count 5 numbers from each end and find the number in the middle. So the median is 5.
5. The lower quartile, also known as the 25th percentile, is the median of the lower half of the set. In our case, the lower half is 1, 2, 4, 5, 5. Since there are 5 numbers in the lower half, the lower quartile is the middle value, which is 4.
6. The upper quartile, also known as the 75th percentile, is the median of the upper half of the set. In our case, the upper half is 7, 7, 8, 8, 8, 9. Again, there are 5 numbers in the upper half, so the upper quartile is the middle value, which is 8.
Therefore, the five-number summary for the given set of numbers is: 1, 4, 5, 8, 9.