Measures of Variation Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items

Question
Given the following dataset, what is the first quartile? Round to the nearest tenth if necessary.
42, 82, 67, 34, 54, 62, 17, 47, 56, 18, 20(1 point)

Answer 1

To find the first quartile (Q1), you need to find the median of the lower half of the dataset.

First, sort the dataset in ascending order:
17, 18, 20, 34, 42, 47, 54, 56, 62, 67, 82

Next, find the median of the lower half of the dataset. Since there are 11 numbers in the dataset, the lower half has 5 numbers. Q1 is the middle number of the lower half, which is the 3rd number when counting from the beginning.

So, Q1 = 20

Therefore, Q1 is 20.