1. What is Five Number Summary?

The five-number summary is a set of descriptive statistics that provides information about a dataset. It consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of the dataset.

2. How the Calculator Works

The calculator computes the five-number summary using the following steps:

Where:

• Min - The smallest value in the dataset
• Q1 - The 25th percentile (value below which 25% of the data falls)
• Median - The middle value (50th percentile)
• Q3 - The 75th percentile (value below which 75% of the data falls)
• Max - The largest value in the dataset

3. Interpreting the Results

Details: The five-number summary gives a quick overview of the distribution of your data. The difference between Q3 and Q1 is the interquartile range (IQR), which shows where the middle 50% of values lie.

4. Using the Calculator

Tips: Enter your numerical data separated by commas. The calculator will sort the data and compute all five values. Example: 1, 2, 3, 4, 5, 6, 7, 8, 9

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between median and mean?
A: The median is the middle value, while the mean is the average. The median is less affected by outliers.

Q2: How is Q1 calculated?
A: Q1 is the median of the lower half of the data (not including the overall median if the number of data points is odd).

Q3: What if I have non-numeric values in my data?
A: The calculator automatically filters out non-numeric values before calculations.

Q4: Can I use this for large datasets?
A: Yes, the calculator can handle large datasets, though very large datasets might take slightly longer to process.

Q5: How accurate are the results?
A: The calculator uses precise mathematical methods to ensure accurate percentile calculations.