Given the following set of data: {12, 23, 34, 45, 56, 67, 78}. Find the five number summary which includes the minimum, the first quartile (Q1), the median, the third quartile (Q3), and the maximum.
Answer
Step 4: To find the third quartile (Q3), we identify the median of the second half of the data. In this case, it is \(67\).
Step 1 ：Step 1: Identify the minimum and maximum. In this case, the minimum is \(12\) and the maximum is \(78\).
Step 2 ：Step 2: To find the median, we need to arrange the data in increasing order and identify the middle number. Since there are 7 numbers in this case, the median is the fourth number which is \(45\).
Step 3 ：Step 3: To find the first quartile (Q1), we identify the median of the first half of the data. In this case, it is \(23\).
Step 4 ：Step 4: To find the third quartile (Q3), we identify the median of the second half of the data. In this case, it is \(67\).
