How to Find the Median of a Data Set: Example with 6, 5, 14, 8, 11, 13, 8, 7, 3, 8

Learn how to calculate the median for a data set with an even number of values using a simple step-by-step example.

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To find the median of the given sequence (6, 5, 14, 8, 11, 13, 8, 7, 3, 8), first, arrange the numbers in ascending order: 3, 5, 6, 7, 8, 8, 8, 11, 13, 14. Since there are an even number of observations, the median is the average of the 5th and 6th terms. Therefore, the median is (8 + 8) / 2 = 8. The median represents the middle value of this data set, dividing it into two equal parts.

FAQs & Answers

  1. What is the median of a data set? The median is the middle value of a data set when the numbers are arranged in ascending order, dividing the data into two equal halves.
  2. How do you find the median when there is an even number of values? When there is an even number of values, the median is the average of the two middle numbers after arranging the data in order.
  3. Why is the median important in data analysis? The median provides a measure of central tendency that is less affected by extreme values or outliers compared to the mean.

Watch More

For more insights on descriptive statistics, check out our videos on calculating mean, mode, and range to deepen your understanding of data analysis techniques.

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