To find the quartiles for the given dataset, we need to first arrange the data in ascending order:
35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70
There are 13 data points in the dataset, so:
1. The first quartile (Q1) is the median of the lower half of the data set. Since there are 6 data points in the lower half (35, 40, 40, 45, 45, 50), the median of the lower half is the average of the 3rd and 4th data points: (40 + 45) / 2 = 42.5
2. The second quartile, also known as the median, is the middle value of the dataset, which is 50.
3. The third quartile (Q3) is the median of the upper half of the data set. Since there are 6 data points in the upper half (50, 55, 60, 60, 65, 70), the median of the upper half is the average of the 3rd and 4th data points: (60 + 60) / 2 = 60
Therefore, the quartiles for the given dataset are:
Q1 = 42.5
Q2 = 50
Q3 = 60
Find the quartiles for the given dataset.
35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70
Q?Q orthe medium?Q?
1 answer