What are the quartiles for the given dataset?

115,117, 120, 122, 125, 127, 128, 131, 132, 136, 136, 140

1 answer

To find the quartiles for this dataset, we first need to order the numbers from smallest to largest:

115, 117, 120, 122, 125, 127, 128, 131, 132, 136, 136, 140

There are 12 numbers in the dataset, so the first quartile (Q1) will be the median of the first half of the numbers.

Q1 = (120 + 122) / 2 = 121

The third quartile (Q3) will be the median of the second half of the numbers.

Q3 = (131 + 132) / 2 = 131.5

Therefore, the quartiles for the dataset are:
Q1 = 121
Q3 = 131.5