Question

Find the lower quartile for the data. {2, 2, 1, 4, 2, 3, 2, 2, 3, 2, 2, 2, 3, 2, 5, 3, 3)

A. 1
B. 1.5
C. 2
D. 2.5

Answer 1

Explanation:

To find the lower quartile, we need to first order the data set from smallest to largest:

{1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 5}

The lower quartile is the median of the lower half of the data set. Since there are an even number of data points, we take the average of the middle two values:

Lower quartile = (2+2)/2 = 2

Therefore, the lower quartile for this data set is C. 2.