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Find the quartiles for the given dataset. 35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70 (2 points) Q1: ; Q2 or the median: ; Q3:
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To find the quartiles for the given dataset, we first need to arrange the numbers in ascending order:
35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70
The median (Q2) is the middle value of the dataset, which is the 7th value in this case as there are 13 values. In this case, the median is 50.
To find Q1 and Q3, we need to find the median of the lower and upper halves of the dataset respectively:
Lower half: 35, 40, 40, 45, 45, 50
Upper half: 55, 60, 60, 65, 70
Q1 is the median of the lower half, so it will be the middle value of the lower half which is the 4th value in this case. Q1 is 45.
Q3 is the median of the upper half, so it will be the middle value of the upper half which is the 3rd value in this case. Q3 is 60.
Therefore, the quartiles for the given dataset are:
Q1: 45
Q2 or the median: 50
Q3: 60
Q
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