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Sagot :
The five number summary and interquartile range for the data-set is given by:
- Minimum: 48
- Lower quartile: 54.
- Median: 63.5.
- Upper quartile: 74
- Maximum: 80.
- Interquartile range: 20
What are the median and the quartiles of a data-set?
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
In this problem, we have that:
- The minimum value is the smallest value, of 48.
- The maximum value is the smallest value, of 80.
- The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.
- The first quartile is the median of the five elements of the first half, hence it is of 54.
- The third quartile is the median of the five elements of the second half, hence it is of 74.
- The IQR is the difference between the quartiles, hence 74 - 54 = 20.
More can be learned about five number summaries at brainly.com/question/17110151
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