The Solution:'
The given data is:
[tex]0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,4,5,9[/tex]
We are required to find the minimum, maximum, first quartile, third quartile, and median.
Step 1:
The total number of data is 25.
[tex]N=25[/tex]
The minimum = 0
The maximum = 9
The first Quartile is
[tex]Q_1=(\frac{N+1}{4})\text{th}=(\frac{25+1}{4})th=\frac{26}{4}th=6.5th\Rightarrow0[/tex]
6.5th means the number in the 6.5th position when the data is arranged in ascending order.
The third Quartile is
[tex]Q_1=\frac{3}{4}(N+1)\text{th}=\frac{3}{4}(25+1)th=\frac{3\times26}{4}th=19.5th\Rightarrow3[/tex]
The median is
[tex]Q_1=(\frac{N+1}{2})\text{th}=(\frac{25+1}{2})th=\frac{26}{2}th=13th\Rightarrow2[/tex]
Therefore, the correct answers:
min=0,max=9, first Quartile=0, third Quartile=3, median=2.
