Question

Determine the minimum, maximum, and quartile values.

{2.25, 1.25, 3.75, 3.5, 2.5, 4, 3, 2, 1.75}

Answer 1

The minimum value is 1.75, the first quartile is 1.875, the median is 2.75, the third quartile is 3.25, and the maximum value is 4.

Step-by-step explanation:

The minimum value in the given data set is 1.75. To find the first quartile, we need to find the median of the lower half of the data, which includes {1.75, 1.25, 2, 2.25}. The median of this lower half is (1.75 + 2) / 2 = 1.875. To find the third quartile, we need to find the median of the upper half of the data, which includes {2.5, 3, 3.5, 3.75, 4}. The median of this upper half is (3 + 3.5) / 2 = 3.25.

The minimum value is 1.75, the first quartile is 1.875, the median is 2.75, the third quartile is 3.25, and the maximum value is 4.

Keywords: minimum value, first quartile, median, third quartile, maximum value