Let's solve the given problem step-by-step:
Heights of the 10 students in class 9 are:
[tex]\[ 110 \, \text{cm}, 120 \, \text{cm}, 105 \, \text{cm}, 98 \, \text{cm}, 115 \, \text{cm}, 130 \, \text{cm}, 112 \, \text{cm}, 125 \, \text{cm}, 118 \, \text{cm}, 119 \, \text{cm} \][/tex]
(i) Height of the Tallest Student:
To find the height of the tallest student, we look for the maximum value in the list of heights.
From the list, the tallest student's height is:
[tex]\[ 130 \, \text{cm} \][/tex]
(ii) Height of the Shortest Student:
To find the height of the shortest student, we look for the minimum value in the list of heights.
From the list, the shortest student's height is:
[tex]\[ 98 \, \text{cm} \][/tex]
(iii) Range of the Heights:
The range of the heights can be found by subtracting the height of the shortest student from the height of the tallest student.
[tex]\[ \text{Range of heights} = \text{Height of the tallest student} - \text{Height of the shortest student} \][/tex]
So, the range of the heights is:
[tex]\[ 130 \, \text{cm} - 98 \, \text{cm} = 32 \, \text{cm} \][/tex]
### Summary:
1. Height of the tallest student: [tex]\( 130 \, \text{cm} \)[/tex]
2. Height of the shortest student: [tex]\( 98 \, \text{cm} \)[/tex]
3. Range of heights: [tex]\( 32 \, \text{cm} \)[/tex]
