I am supposed to find the 1st and 3rd quartiles of the following.And they are multipul choice:
0.08,0.16,0.18,0.20,0.22,0.25,0.27,0.27,0.28,0.32
Q1; 0.16+0.18=0.34÷2=0.17
Q3; 0.27+0.28=0.55÷2=0.275(.28)
A. 0.18;0.27
B. 0.18; 0.28
C. 0.16; 0.28
D. 0.16; 0.27
What have I done wrong?
The data set is even, so the median is the average of #5 and #6. Median is .23
Then the first quartile is the middle value of the lower set, .18
The third quartile stops at the middle of the upper half, or .27
Answer A.
Now I have to warn you, various texts define the quartiles differently, there is no uniform agreement on this. Go with your text.
The data set is even, so the median is the average of #5 and #6. Median is .23
Then the first quartile is the middle value of the lower set, .18
The third quartile stops at the middle of the upper half, or .27
Answer A.
Now I have to warn you, various texts define the quartiles differently, there is no uniform agreement on this. Go with your text.
Based on your calculation, it seems like you made an error when calculating the first quartile. The correct calculation for the first quartile in an even-size data set is to take the average of the two middle values of the lower set. In this case, the two middle values are 0.16 and 0.18. Thus, the correct calculation is (0.16 + 0.18) / 2 = 0.17. So the correct answer should be:
A. 0.17; 0.27
In terms of defining quartiles, you mentioned that different texts may have different definitions. It's important to follow the definition or method used in your specific textbook or course material to ensure consistency in your calculations.