<\/span><\/h2>\nLet’s consider a simple example to calculate the Q3 value. Suppose we have a dataset representing the ages of 20 individuals who recently participated in a survey:<\/p>\n
20, 22, 24, 25, 26, 27, 29, 31, 33, 36, 37, 39, 42, 45, 48, 50, 54, 56, 59, 60.<\/p>\n
By following the steps mentioned earlier, we can determine the Q3 value for this dataset:<\/p>\n
Step 1:<\/b> Arrange the dataset in increasing order:
\n20, 22, 24, 25, 26, 27, 29, 31, 33, 36, 37, 39, 42, 45, 48, 50, 54, 56, 59, 60.<\/p>\n
Step 2:<\/b> Find the median (Q2):
\nThe median of this dataset is the average of the two middle values, 37 and 39, which is 38.<\/p>\n
Step 3:<\/b> Divide the dataset into two halves:
\nLower half (Q1): 20, 22, 24, 25, 26, 27, 29, 31, 33, 36.
\nUpper half: 37, 39, 42, 45, 48, 50, 54, 56, 59, 60.<\/p>\n
Step 4:<\/b> Calculate the median of the upper half (Q3):
\nThe median of the upper half is the average of the two middle values, 48 and 50, which is 49.<\/p>\n
Therefore, the Q3 value for this dataset is 49. This means that 75% of the surveyed individuals’ ages are below 49 years old.<\/p>\n