Final answer:
To find the minimum, maximum, and quartiles of the given set {0.01, 0.09, 0.9, 0.03, 0.025, 0.85, 0.04, 0.4}, arrange the numbers in ascending order. The minimum value is the smallest number. The maximum value is the largest number. The quartiles divide the data set into four equal parts.
Step-by-step explanation:
To find the minimum, maximum, and quartiles of the given set {0.01, 0.09, 0.9, 0.03, 0.025, 0.85, 0.04, 0.4}, we need to arrange the numbers in ascending order first:
{0.01, 0.025, 0.03, 0.04, 0.09, 0.4, 0.85, 0.9}
The minimum value is the smallest number, which is 0.01.
The maximum value is the largest number, which is 0.9.
To find the quartiles, we divide the data set into four equal parts. Since we have 8 numbers, the second quartile (median) will be the average of the 4th and 5th numbers: (0.04 + 0.09) / 2 = 0.065.
The first quartile is the median of the lower half of the data, which is the average of the 2nd and 3rd numbers: (0.025 + 0.03) / 2 = 0.0275.
The third quartile is the median of the upper half of the data, which is the average of the 6th and 7th numbers: (0.4 + 0.85) / 2 = 0.625.