StatTutor Lesson - Measuring spread: the quartiles
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Questions 1-2
61
Question
1.
True or false: Quartiles split the ordered data into five equally sized data sets
A.
B.
Incorrect. Quartiles split the ordered data into four approximately equally sized data sets.
Correct. Quartiles split the ordered data into four approximately equally sized data sets.
Incorrect. Try again.
2
Question
2.
What does the second quartile correspond to?
A.
B.
Incorrect. Since the second quartile splits the data in half, it is the median.
Correct. Since the second quartile splits the data in half, it is the median.
Incorrect. Try again.
2
Questions 3-5
153
Question
3.
What is the first step in finding the quartiles?
A.
B.
C.
Incorrect. The middle observation is not the median unless the data have already been ordered.
Correct. The middle observation is not the median unless the data have already been ordered.
Incorrect. Try again.
2
Question
4.
When finding Q1 and Q3, if n is odd, what should you do with the median value?
A.
B.
C.
D.
Incorrect. Since the portion of the data used to find Q1 has to be the same size as the portion of data used to find Q3, we leave out the middle observation.
Correct. Since the portion of the data used to find Q1 has to be the same size as the portion of data used to find Q3, we leave out the middle observation.
Incorrect. Try again.
2
Question
5.
What does Q1 correspond to?
A.
B.
C.
D.
Incorrect. Since Q1 splits the lower half of the data in half, it is the median of the lower half of the data.
Correct. Since Q1 splits the lower half of the data in half, it is the median of the lower half of the data.
Incorrect. Try again.
2
Questions 6-7
232
Question
6.
When finding Q1 and Q3, if n is even, what should you do with the median value?
A.
B.
C.
D.
Incorrect. Since the median is not one of the data values, we don't need to do anything with it to get the portion of the data used to find Q1 to be the same size as the portion of data used to find Q3.
Correct. Since the median is not one of the data values, we don't need to do anything with it to get the portion of the data used to find Q1 to be the same size as the portion of data used to find Q3.
Incorrect. Try again.
2
Question
7.
What does Q3 correspond to?
A.
B.
C.
D.
Incorrect. Since Q3 splits the upper half of the data in half, it is the median of the upper half of the data.
Correct. Since Q3 splits the upper half of the data in half, it is the median of the upper half of the data.