The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. What are the first and third quartiles? (yay)
To find the first and third quartiles of the list of prime numbers, we can arrange the numbers in ascending order:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
The first quartile (Q1) is the median of the lower half of the data set. Since there are an even number of data points, we calculate Q1 as the average of the two middle values in the lower half:
Q1 = (5 + 7) / 2
Q1 = 6
The third quartile (Q3) is the median of the upper half of the data set. Again, we calculate Q3 as the average of the two middle values in the upper half:
Q3 = (17 + 19) / 2
Q3 = 18
Therefore, the first quartile is 6 and the third quartile is 18 for the list of prime numbers provided.