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:
To find the first and third quartiles, we need to find the median of the first half of the prime numbers and the median of the second half of the prime numbers.
First, we write out the first 10 prime numbers in ascending order:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Next, we divide the list into two halves:
First Half: 2, 3, 5, 7, 11
Second Half: 13, 17, 19, 23, 29
Now we find the median of each half:
First Half Median: (5 + 7)/2 = 6
Second Half Median: (17 + 19)/2 = 18
The first quartile is the median of the first half, which is 6.
The third quartile is the median of the second half, which is 18.
Answer:
First Quartile: 6
Third Quartile: 18
To find the first and third quartiles, we first need to arrange the numbers in ascending order:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
To find the first quartile, we need to consider the middle value of the lower half of the data set. Since there are 10 numbers in total, the lower half consists of the first 5 numbers:
2, 3, 5, 7, 11
The first quartile is the middle value of this lower half. Since this set has an odd number of values, the middle value is the third number, which is 5. Therefore, the first quartile is 5.
To find the third quartile, we need to consider the middle value of the upper half of the data set. Again, since there are 10 numbers in total, the upper half consists of the last 5 numbers:
13, 17, 19, 23, 29
The third quartile is the middle value of this upper half. Since this set also has an odd number of values, the middle value is the third number, which is 19. Therefore, the third quartile is 19.
Hence, the first quartile is 5 and the third quartile is 19.