Using it's concepts, it is found that:
- The first quartile is of 29.
- The third quartile is of 46.
- The interquartile range is of 17.
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.
- The interquartile range is the difference of the quartiles.
In this problem, the ordered data-set is:
24, 28, 30, 33, 36, 39, 41, 44, 48, 53
Even cardinality, hence the median is the mean of the two middle elements, 36 and 39, hence it is of 37.5.
The first quartile is the median of 24, 28, 30, 33, which is of 29.
The third quartile is the median of 41, 44, 48, 53, which is of 46.
Hence, the interquartile range is of 46 - 29 = 17.
More can be learned about the median at https://brainly.com/question/25215461
