The 5 number summary calculator is used to calculate the five-number summary, which consists of five different calculations. In addition to the basic five calculations, it also gives IQR, graph, and descending order.
| Inter Quartile: | 2 |
| Third Quartile: | |
| Ascending: | 2 x 100 |
| Descending: | ,2 |
The 5 number summary calculator is used to calculate the five-number summary, which consists of five different calculations. In addition to the basic five calculations, it also gives IQR, graph, and descending order.
What is a Five-number summary?
A five-number summary is a statistical summary of a dataset that includes five key values: the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. The five-number summary provides a concise way to describe the distribution of a dataset and is often used in statistical analysis and data visualization.
The minimum value is the smallest value in the dataset, while the maximum value is the largest value. The median is the middle value when the dataset is ordered from smallest to largest. The first quartile is the value that separates the lowest 25% of the dataset from the highest 75%, while the third quartile is the value that separates the lowest 75% of the dataset from the highest 25%.
Together, the five-number summary provides a complete picture of the central tendency, spread, and skewness of a dataset. By comparing the quartiles and median, one can determine if a dataset is symmetric or skewed, while the range between the minimum and maximum value provides information about the spread of the data.
What are the steps to find 5 number summary?
To find the five-number summary of a dataset, you need to follow these steps:
- Sort the dataset in ascending order.
- Find the minimum value, which is the smallest value in the dataset.
- Find the maximum value, which is the largest value in the dataset.
- Find the median, which is the middle value when the dataset is ordered from smallest to largest.
- Find the first quartile (Q1), which is the median of the lower half of the dataset. To do this, find the median of the values below the median (excluding the median itself).
- Find the third quartile (Q3), which is the median of the upper half of the dataset. To do this, find the median of the values above the median (excluding the median itself).
Once you have found these five values, you have the five-number summary of the dataset. The five-number summary can be used to create a box plot, which is a graphical representation of the dataset that shows the five-number summary and any outliers.
Example:
Let’s calculate 5 number summary using an example to understand the process properly.
Calculate the five number summary in data set 5, 2, 19, 6, 7, 1, 18, 9, 12, 15, 27.
Solution:
Step 1: Arrange the data set in ascending order.
2,32,22,43,10
Step 2: Get the minimum and maximum values in the data set.
Minimum value = 2
Maximum value = 43
Step 3: Find the median from these values.
Median =22
Step 4: Wrap the parenthesis around the values which are on the left and right sides of the median.
(2, 10), 22, (32, 43)