The five number summary data for the data-set is:
<h3>What is the five number summary of a data-set?</h3>
The five number summary of a data-set is composed by:
- The smallest and the greatest value.
- The first quartile, which is the median of the bottom 50%.
- The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.
- The third quartile, which is the median of the upper 50%.
For this problem, we have that:
- The smallest value is of 0.
- The greatest value is of 11.
The data-set has 10 elements, which is an even cardinality, hence the median is the <u>mean of the 5th and the 6th elements</u>, hence:
Me = (5 + 5)/2 = 5.
The first half of the data-set is:
0, 2, 2, 4.
Hence the first quartile is:
Q1 = (2 + 2)/2 = 2.
The second half of the data-set is:
5,5,7,11.
Hence the third quartile is:
Q3 = (5 + 7)/2 = 6.
More can be learned about the five number summary data of a data-set at brainly.com/question/17110151
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