To find the quartiles, we first need to arrange the dataset in ascending order:
35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70
Next, we can find the median (Q2) of the dataset.
Q2: The median is the middle value of the dataset, which would be the 7th value when arranged in ascending order.
Therefore, Q2 = 50.
To find Q1 and Q3, we divide the dataset into two halves at the median:
First half: 35, 40, 40, 45, 45
Second half: 55, 60, 60, 65, 70
Now, we can find the median for each half.
Q1: The median of the first half would be the middle value, which is the 3rd value when arranged in ascending order.
Therefore, Q1 = 40.
Q3: The median of the second half would be the middle value, which is the 3rd value when arranged in ascending order.
Therefore, Q3 = 60.
So, the quartiles for the given dataset are:
Q1 = 40
Q2 or the median = 50
Q3 = 60
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:
1 answer