Understanding the 5 Number Summary: A Comprehensive Guide to Summarize and Analyze Datasets

5 number summary

The 5 number summary is a set of five values that summarize the distribution of a dataset

The 5 number summary is a set of five values that summarize the distribution of a dataset. It consists of the minimum value, the first quartile (Q1), the median (Q2 or the second quartile), the third quartile (Q3), and the maximum value.

1. Minimum value: This is the smallest value in the dataset, representing the lower limit of the data.

2. First quartile (Q1): This is the median of the lower half of the dataset. It divides the data into two equal parts, with 25% of the values below and 75% of the values above it. Q1 can be found by taking the median of the lower half of the sorted dataset.

3. Median (Q2): This is the middle value in the dataset when it is sorted in ascending order. It divides the data into two equal parts, with 50% of the values below and 50% above it. If the number of data points is odd, the median is the middle value. If the number of data points is even, the median is the average of the two middle values.

4. Third quartile (Q3): This is the median of the upper half of the dataset. It divides the data into two equal parts, with 75% of the values below and 25% of the values above it. Q3 can be found by taking the median of the upper half of the sorted dataset.

5. Maximum value: This is the largest value in the dataset, representing the upper limit of the data.

The 5 number summary provides a concise and informative summary of the overall distribution of a dataset. It is particularly useful for comparing multiple data sets and identifying patterns, outliers, and the range of values within the data.

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