Question

Find the minimum, first quartile, median, third quartile, and maximum of the data set helow.4.63.25.75.35.55.45.83.912.3

Answer 1

Ok, so we have a set of data and we need to find several things. First we shoul order this set from the lowest to the greatest value:

`3.2,3.9,4.6,5.3,5.4,5.5,5.7,5.8,12.3`

The median of this set is the middle value. In this case since we have 9 elements the median would be the element in the 5th place because it has 4 lower elements and 4 greater elements. So the median is 5.4.

The first quartile is the middle element between the lowest and the median so:

`3.2,3.9,(4.6),5.3,5.4`

Then the first quartile is 4.6.

The third quartile is the middle element between the median and the greatest element:

`5.4,5.5,(5.7),5.8,12.3`

So the third quartile is 5.7.

Finally, the minimum and maximum of the set are the lowest and the greatest values respectively so the minimum is 3.2 and the maximum is 12.3.