What is the third quartile Q3 for data2, 5, 5, 9, 11, 12, 13, 16, 17, 19, 22, 23, 24, 25,
28 ?
First, we need to put the data in order:
2, 5, 5, 9, 11, 12, 13, 16, 17, 19, 22, 23, 24, 25, 28
Next, we need to find the median (second quartile) of the upper half of the data. The upper half of the data is:
13, 16, 17, 19, 22, 23, 24, 25, 28
The median of this upper half is:
Q3 = 22
Therefore, the third quartile Q3 for this data set is 22.
To find the third quartile (Q3), first, we need to arrange the data in ascending order:
2, 5, 5, 9, 11, 12, 13, 16, 17, 19, 22, 23, 24, 25, 28
Next, we need to determine the position of Q3. Since we have 15 data points, the position of Q3 would be (3/4) * (15+1) = 12.
The 12th data point in our sorted list is 23.
Therefore, the third quartile (Q3) for the given data is 23.