The first 10 even numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. What are the first and third quartiles?
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
*
6 and 16
8 and14
2 and 20
8 and 16
To find the quartiles, we need to arrange the numbers in order from smallest to largest: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
The first quartile (Q1) is the median of the lower half of the data. So, we need to find the median of the numbers 2, 4, 6, 8, 10. The middle two numbers are 6 and 8, so the median is (6 + 8) / 2 = 7.
The third quartile (Q3) is the median of the upper half of the data. So, we need to find the median of the numbers 12, 14, 16, 18, 20. The middle two numbers are 14 and 16, so the median is (14 + 16) / 2 = 15.
Therefore, the first quartile (Q1) is 7 and the third quartile (Q3) is 15.
these are the options: 6 and 16
8 and14
2 and 20
8 and 16
The correct options for the first and third quartiles of the given data are:
First quartile (Q1): 6
Third quartile (Q3): 16
So, the correct option is: 6 and 16.