The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. What are the first and third quartiles?

Answer 1

To find the first and third quartiles, we need to first find the median of the data set.

The median of the first five prime numbers (2, 3, 5, 7, and 11) is 5.

The median of the first ten prime numbers is the average of the fifth and sixth primes (11 and 13), which is 12.

To find the first quartile, we need to find the median of the first five prime numbers (2, 3, 5, 7, and 11). The median of this subgroup is 5.

To find the third quartile, we need to find the median of the second subgroup of five prime numbers (13, 17, 19, 23, and 29). The median of this subgroup is 19.

Therefore, the first quartile is 5 and the third quartile is 19.