Question

Determine the minimum, maximum, and quartile values.

{68, 98, 86, 67, 70, 82, 75, 50, 100, 78, 77, 72, 73, 80, 83, 87}

Answer 1

To determine the minimum, maximum, and quartile values of the given data set, arrange the data set in ascending order and find the smallest, largest, first quartile, and third quartile values.

Step-by-step explanation:

To determine the minimum, maximum, and quartile values of the given data set {68, 98, 86, 67, 70, 82, 75, 50, 100, 78, 77, 72, 73, 80, 83, 87}, follow these steps:

1. Arrange the data set in ascending order: {50, 67, 68, 70, 72, 73, 75, 77, 78, 80, 82, 83, 86, 87, 98, 100}.
2. The minimum value is the smallest value in the data set, which is 50.
3. The maximum value is the largest value in the data set, which is 100.
4. The first quartile (Q₁) is the median of the lower half of the data. Since there are 16 values, the median of the lower half will be the average of the 8th and 9th values, which is (75 + 77) / 2 = 76.
5. To find the third quartile (Q3), repeat the process for the upper half of the data. The median of the upper half will be the average of the 8th and 9th values of the upper half, which is (83 + 86) / 2 = 84.5.