Give the Five-Number Summary for this data set. Round your answers
to the nearest tenth.
18, 22, 36, 36, 36, 44, 185, 304, 24
Which of the Five-Number Summary don't you understand?
Check this site.
http://illuminations.nctm.org/Lessons/States/FiveNumSum.htm
thanks :) that helped
To find the five-number summary for a data set, you need to determine the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. Here's how you can find each value:
Step 1: Arrange the data set in ascending order:
18, 22, 24, 36, 36, 36, 44, 185, 304
Step 2: Find the minimum value, which is the smallest number in the data set:
Minimum value = 18
Step 3: Find Q1, which is the median of the lower half of the data. To do this, calculate the median of the numbers to the left of the median:
Q1 = Median of {18, 22, 24} = (22 + 24) / 2 = 23
Step 4: Find Q2, which is the median of the entire data set:
Q2 = Median of {18, 22, 24, 36, 36, 36, 44, 185, 304} = 36
Step 5: Find Q3, which is the median of the upper half of the data. To do this, calculate the median of the numbers to the right of the median:
Q3 = Median of {44, 185, 304} = (44 + 185) / 2 = 114.5
Step 6: Find the maximum value, which is the largest number in the data set:
Maximum value = 304
The five-number summary for the data set is:
Minimum value = 18
Q1 = 23
Q2 (Median) = 36
Q3 = 114.5
Maximum value = 304