Respuesta :
Answer:
- lowest value is: 6
- highest value is: 25.
- Median ([tex]Q_{2}[/tex]) is 16.
- lower quartile ([tex]Q_{1}[/tex]) is: 10.
- third quartile ([tex]Q_{3}[/tex]) is: 20.
Step-by-step explanation:
We are given a set of the data as:
9 22 16 12 16 10 22 16 17 8 20 18 10 20 25 6 14 10 14 20
on arranging this data in ascending order we have:
6 8 9 10 10 10 12 14 14 16 16 16 17 18 20 20 20 22 22 25
Hence, the lowest value is: 6
The highest value is: 25.
Now the data is divided into 3 quartiles.
Median ([tex]Q_{2}[/tex]) is defined as the central tendency of a data i.e. the middle value of the data.
Hence the median here will lie between: 16 and 16.
Hence the median ([tex]Q_{2}[/tex]) is 16.
Now the lower set of data is:
6 8 9 10 10 10 12 14 14
Hence, the lower quartile([tex]Q_1[/tex]) is the median of the lower set of data i.e. the middle term in the following lower set of data.
Hence, the lower quartile ([tex]Q_{1}[/tex]) is: 10
Similarly the upper set of data is given as:
16 17 18 20 20 20 22 22 25
Hence, the third quartile ([tex]Q_3[/tex]) is the median of the lower set of data i.e. the middle term in the following lower set of data.
Hence, the third quartile ([tex]Q_{3}[/tex]) is: 20
