Question

Determine the minimum, maximum, and quartile values?
{2, 3, 7, 1, 4, 5, 6, 10, 9, 4, 6, 7}

Answer 1

To determine the minimum, maximum, and quartile values of the given data set, we sort the data set in ascending order and find the relevant values. The minimum value is 1, the first quartile is 3, the median is 5, the third quartile is 7, and the maximum value is 10.

Step-by-step explanation:

To determine the minimum, maximum, and quartile values of the given data set {2, 3, 7, 1, 4, 5, 6, 10, 9, 4, 6, 7}, we need to calculate the following:

1. Minimum value: The smallest value in the data set is 1.
2. First quartile: To find the first quartile, we need to sort the data set in ascending order. The first quartile represents the median of the lower half of the data. Looking at the sorted data set, the lower half is {1, 2, 3, 4, 4}. Since we have an odd number of values in the lower half, the first quartile is the middle value, which is 3.
3. Median: To find the median, we again sort the data set and find the middle value. The sorted data set is {1, 2, 3, 4, 4, 5, 6, 6, 7, 7, 9, 10, 10}. The middle value is 5, so the median is 5.
4. Third quartile: Similar to the first quartile calculation, we find the median of the upper half of the data. The upper half is {5, 6, 6, 7, 7, 9, 10, 10}. We also have an odd number of values in the upper half, and the middle value is 7. Therefore, the third quartile is 7.
5. Maximum value: The largest value in the data set is 10.