What is findind a five number summary of each ser of numbers 7,7,5,4,1,9,8,8,8,5,2 and range of the same numbers please
I only see one set of numbers. Why do you refer to "each" set? What five-number summary are you refering to? Mean, median, mode and what else?
The range of the set you have written is from 1 to 9. The mean is 64/11
= 5.82
To find the five-number summary of a set of numbers, you will need to find the minimum, first quartile, median, third quartile, and maximum values.
1. Arrange the numbers in ascending order: 1, 2, 4, 5, 5, 7, 7, 8, 8, 8, 9.
2. Minimum: The smallest number in the set is 1.
3. First Quartile (Q1): Find the median of the lower half of the numbers. Since there are 11 numbers, the median index is located at index 11/2 = 5.5, which corresponds to the average of the 5th and 6th numbers. The first quartile is the median of the lower half, so Q1 = (4 + 5) / 2 = 4.5.
4. Median (Q2): Find the middle number of the set. Since there are 11 numbers, the median is located at index (11 + 1)/2 = 6, which is the 6th number. The median is 7.
5. Third Quartile (Q3): Find the median of the upper half of the numbers. Since there are 11 numbers, the median index is located at index 11/2 = 5.5, which corresponds to the average of the 6th and 7th numbers. The third quartile is the median of the upper half, so Q3 = (7 + 8) / 2 = 7.5.
6. Maximum: The largest number in the set is 9.
Therefore, the five-number summary of the given set is 1, 4.5, 7, 7.5, 9.
The range of the set is the difference between the maximum and minimum values. In this case, the range is 9 - 1 = 8.