1.Find the five-number summary of the following set of numbers.0.16, 0.08, 0.27, 0.20, 0.22, 0.32, 0.25, 0.18, 0.28, 0.27
Is this what you are after?
http://en.wikipedia.org/wiki/Five-number_summary
Thank you! :-)
Yes, you're on the right track! The five-number summary is a statistical summary of a dataset that provides information about its central tendency and spread. It includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.
To find the five-number summary for the given dataset, you can follow these steps:
1. Sort the dataset in ascending order: 0.08, 0.16, 0.18, 0.20, 0.22, 0.25, 0.27, 0.27, 0.28, 0.32.
2. Find the minimum value, which is the smallest number in the dataset: 0.08.
3. Find Q1, which is the median of the lower half of the dataset. To do this, divide the dataset into two halves. Since there are 10 numbers, the lower half will contain the first 5 numbers. The median of these numbers is the average of the middle two values: (0.18 + 0.20) / 2 = 0.19.
4. Find Q2, which is the median of the entire dataset. Since there are 10 numbers, the middle two values are 0.22 and 0.25. Their average is (0.22 + 0.25) / 2 = 0.235.
5. Find Q3, which is the median of the upper half of the dataset. The upper half contains the last 5 numbers. The median of these numbers is the average of the middle two values: (0.27 + 0.28) / 2 = 0.275.
6. Find the maximum value, which is the largest number in the dataset: 0.32.
So, the five-number summary for the given dataset is:
Minimum: 0.08
Q1: 0.19
Q2: 0.235 (median)
Q3: 0.275
Maximum: 0.32