Question

The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. What are the first and third quartiles?(1 point)
First Quartile:

Third Quartile:

Answer 1

To find the first and third quartiles, we need to divide the list of prime numbers into four equal parts.

First, we need to find the median of the given prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Since this list has an even number of terms, the median is the average of the middle two terms: (7 + 11) / 2 = 18 / 2 = 9.

Next, we divide the list into two halves: one from the beginning up to the median, and the other from the median to the end:

First half: 2, 3, 5, 7
Second half: 13, 17, 19, 23, 29

Now, let's find the median of each half:

First half: 2, 3, 5, 7
Median = (3 + 5) / 2 = 8 / 2 = 4

Second half: 13, 17, 19, 23, 29
Median = 17

The first quartile is the median of the first half, which is 4, and the third quartile is the median of the second half, which is 17.

First Quartile: 4
Third Quartile: 17