Give the five-number summary of each set of numbers 77541988852
To find the five-number summary of a set of numbers, we need to calculate the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.
Step 1: Sort the numbers in ascending order:
7, 5, 4, 1, 9, 8, 8, 8, 5, 2
Step 2: Find the minimum and maximum values:
The minimum value is 1, and the maximum value is 9.
Step 3: Find the median (Q2):
The median is the value that separates the higher half and the lower half of the data. Since we have 10 numbers, the median will be the average of the two middle terms when the data is sorted.
Median = (4 + 8) / 2 = 6
Step 4: Find the first quartile (Q1):
The first quartile is the median of the lower half of the data. In this case, the lower half has five numbers.
Q1 = (4 + 5) / 2 = 4.5
Step 5: Find the third quartile (Q3):
The third quartile is the median of the upper half of the data. In this case, the upper half has five numbers.
Q3 = (8 + 8) / 2 = 8
The five-number summary for the set of numbers 7, 5, 4, 1, 9, 8, 8, 8, 5, 2 is:
Minimum: 1
First Quartile (Q1): 4.5
Median (Q2): 6
Third Quartile (Q3): 8
Maximum: 9