Respuesta :
Answer:
Option: A(0.585)
Step-by-step explanation:
After arranging our data in ascending order we get that:
5.16 5.16 5.25 5.33 5.33 5.5 5.66 5.66 5.75 5.75 6 6 6.25
Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively.
- [tex]Q_1[/tex] is the "middle" value in the first half of the rank-ordered data set.
- [tex]Q_2[/tex] is the median value in the set.
- [tex]Q_3[/tex] is the "middle" value in the second half of the rank-ordered data set.
The interquartile range is equal to Q3-Q1.
So, the Median([tex]Q_2[/tex])of data is given by: 5.66
also the lower half is:
5.16 5.16 5.25 5.33 5.33 5.5
Hence, the middle value or median of this lower half of this data lie between 5.25 and 5.33 which is 5.29.
Hence, [tex]Q_1[/tex]=5.29
Similarly the upper half is:
5.66 5.75 5.75 6 6 6.25
Hence, the middle value or median of this upper half of this data lie between 5.75 and 6 which is 5.875
Hence, [tex]Q_3[/tex]=5.875
Hence, the interquartile range=[tex]Q_3-Q_1=5.875-5.29=0.585[/tex]
Hence, option A is correct.
