Question

Find the median of first 15 prime numbers ​

Answer 1

The median of first 15 prime numbers is 19

Given :

First 15 prime numbers

To find :

The median of first 15 prime numbers

Concept :

Median

Median is the middle most value of a set of observations when the samples are arranged in order of magnitudes ( Either in ascending or in descending)

Solution :

Step 1 of 2 :

Write down the first 15 prime numbers

First 15 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Step 2 of 2 :

Find the median

The numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 are ascending order

Number of observations = 15

Hence the required median

$\displaystyle \sf{ } = \frac{15 + 1}{2} \: th \: observation$

$\displaystyle \sf{ } = \frac{16}{2} \: th \: observation$

$\displaystyle \sf{ } = 8 \: th \: observation$

$\displaystyle \sf{ } = 19$

Answer 2

Answer:

19

Step-by-step explanation:

The first prime number is:-

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47

Now,

n=15(odd)

formula of odd is:-n+1/2

so,

15+1/2

16/2

8™ observation

=19

hope this answer can be help you!