Question

What is the five number summary for the data 0,2,2,4,5,5,5,5,7,11

Answer 1

The five number summary data for the data-set is:

• Smallest value: 0.

• First quartile: 2.

• Median: 5.

• Third quartile: 6.

• Greatest value: 11.

What is the five number summary of a data-set?

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 mean of the 5th and the 6th elements, 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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