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Find the median of first 10 prime numbers. - Mathematics

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Question

Find the median of first 10 prime numbers.

Sum
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Solution

Given: First 10 prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Step-wise calculation: n = 10 (even). For even n, the median is the average of the `(n/2)`th and `(n/2 + 1)`th observations; this is the standard rule for median.

`n/2 = 5`, so take the 5th and 6th primes.

5th prime = 11, 6th prime = 13

Median = `(11 + 13)/2`

= `24/2`

= 12

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Chapter 15: Statistics - Exercise 15C [Page 303]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 15 Statistics
Exercise 15C | Q 19. | Page 303
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