Question

what are the minimume, first quartile, median, third quartile, and maximum of the data set? 2 6 12 8 3 9 14 20

Answer 1

To get the indicated values we re-arrange the set of numbers in ascending order:
2 6 12 8 3 9 14 20
rearranging gives us:
2,3,6,8,9,12,14,20
Minimum-2
First quartile-5.25
Median-8.5
Third quartile-12.50
Maximum-20

Answer 2

Given data set is : 2 6 12 8 3 9 14 20

We shall re-arrange the set of numbers in ascending order to get a clear concept:

2 3 6 8 9 12 14 20

1. Minimum: The minimum is the least value of the data set that is 2.

First quartile: The first quartile value is the median for the numbers before the median. 2 3 6 8 the value is
`(2+3+6+8)/(4)= 4.75`

Median: The average of the center two numbers.
`(8+9)/(2)`=8.5

Third quartile: The third quartile is the same as first but take last 4 values, 9 12 14 20 the value is
`(9+12+14+20)/(4)= 13.75`

Maximum: The highest value number in the data set which is 20.