How to Calculate the Median of the First 20 Prime Numbers

Discover how to find the median of the first 20 prime numbers with step-by-step instructions.

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The median of the first 20 prime numbers, which are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, and 71, is found by identifying the middle number(s). Since there are 20 numbers, the median will be the average of the 10th and 11th numbers. So, the median is (29 + 31) / 2 = 30. Therefore, the median of the first 20 prime numbers is 30.

FAQs & Answers

  1. What are the first 20 prime numbers? The first 20 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, and 71.
  2. How is the median calculated? To calculate the median, you need to arrange the numbers in order and find the middle value. If there is an even number of values, the median is the average of the two middle numbers.
  3. What is the significance of prime numbers? Prime numbers are significant in number theory because they are the building blocks of natural numbers, meaning every number can be expressed as a product of primes.
  4. Why is the median important in statistics? The median is a crucial measure of central tendency that provides a better representation of a dataset than the average in skewed distributions, as it is less affected by outliers.