Identify the third quartile in the following dataset:
53.3, 46.9, 48.1, 49.7, 52.1, 47.5, 47.2, 45.5(1 point)
Responses
50.9
50.9
47.05
47.05
53.3
53.3
47.8
47.8
To identify the third quartile in a dataset, we need to first arrange the data in ascending order.
45.5, 46.9, 47.2, 47.5, 48.1, 49.7, 52.1, 53.3
Next, we divide the data into four equal parts, also known as quartiles.
Q1: the first quartile is the median of the lower half of the data. In this case, Q1 = 47.2
Q2: the second quartile is the median of the entire data set, also known as the median. In this case, Q2 = 48.6
Q3: the third quartile is the median of the upper half of the data. In this case, Q3 = 50.9
Q4: the fourth quartile is the maximum value in the data set. In this case, Q4 = 53.3
Therefore, the third quartile in the given data set is 50.9.