Answer:
least value=-8, Q1=-0.5, median=3, Q3=5, greatest value=10
Explanation:
To find the least and greatest values, we simply look at the numbers in the data set and see that the least is -8 and the greatest is 10.
To find the first quartile, median, and third quartile, we need to put the data in order from least to greatest:
-8, -5, -1, 0, 0, 1, 2, 4, 4, 5, 5, 7, 9, 10
There are 14 numbers in the data set, so the median is the average of the 7th and 8th numbers, which is:
(median) = (2+4)/2 = 3
To find the first quartile, we need to find the median of the lower half of the data set. The lower half includes the first 7 numbers:
-8, -5, -1, 0, 0, 1, 2
The median of this lower half is the average of the 3rd and 4th numbers:
(first quartile) = (-1+0)/2 = -0.5
To find the third quartile, we need to find the median of the upper half of the data set. The upper half includes the last 7 numbers:
2, 4, 4, 5, 5, 7, 9, 10
The median of this upper half is the average of the 4th and 5th numbers:
(third quartile) = (5+5)/2 = 5
So the least value is -8, the first quartile is -0.5, the median is 3, the third quartile is 5, and the greatest value is 10.