Give the five number summary of the numbers 26, 30, 38, 67, 59, 21, 17, 85, 22, 22
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http://illuminations.nctm.org/lessons/states/fivenumsum.htm
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thank u, that helped a lot
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To find the five-number summary of a set of numbers, you need to determine the minimum, first quartile, median (second quartile), third quartile, and maximum.
Step 1: Sort the numbers in ascending order:
17, 21, 22, 22, 26, 30, 38, 59, 67, 85
Step 2: Determine the minimum and maximum values:
Minimum: 17
Maximum: 85
Step 3: Calculate the median (second quartile):
To find the median, we need to find the value that separates the lower half from the upper half of the data set. Since we have 10 numbers, the median falls between the 5th and 6th numbers in the sorted list.
Median: (26 + 30) / 2 = 28
Step 4: Calculate the first quartile:
The first quartile is the median of the lower half of the data set, or the median of the numbers from the minimum to the median.
First Quartile: (17 + 21) / 2 = 19
Step 5: Calculate the third quartile:
The third quartile is the median of the upper half of the data set, or the median of the numbers from the median to the maximum.
Third Quartile: (59 + 67) / 2 = 63
The five-number summary for the given set of numbers is:
Minimum: 17
First Quartile: 19
Median: 28
Third Quartile: 63
Maximum: 85