Question

Determine the minimum, maximum, and quartile values.
{-1, -1.35, -0.95, 0.5, 0, -0.75, 0.25}

Answer 1

The minimum value is -1.35, the first quartile is -0.85, the median is 0, the third quartile is 0.375, and the maximum value is 0.5.

Step-by-step explanation:

To find the minimum, maximum, and quartiles for the given data set:

1. Arrange the data in ascending order: {-1.35, -1, -0.95, -0.75, 0, 0.25, 0.5}
2. The minimum value is the smallest value in the data set, which is -1.35.
3. The first quartile is the median of the lower half of the data. Since we have 7 data points, the lower half has 7/2 = 3.5 data points. The first quartile is the average of the 3rd and 4th data points: (-0.95 + -0.75)/2 = -0.85.
4. The median is the middle value of the data set, which is 0.
5. The third quartile is the median of the upper half of the data. The upper half also has 7/2 = 3.5 data points. The third quartile is the average of the 5th and 6th data points: (0.25 + 0.5)/2 = 0.375.
6. The maximum value is the largest value in the data set, which is 0.5.
7. The width of the interquartile range (IQR) is the difference between the third quartile and the first quartile: 0.375 - (-0.85) = 1.225.