Mathematics
The following distribution represents the height of 160 students of a school.
| Height (in cm) | No. of students |
|---|---|
| 140 - 145 | 12 |
| 145 - 150 | 20 |
| 150 - 155 | 30 |
| 155 - 160 | 38 |
| 160 - 165 | 24 |
| 165 - 170 | 16 |
| 170 - 175 | 12 |
| 175 - 180 | 8 |
Draw an ogive for the given distribution taking 2 cm = 5 cm of height on one axis and 2 cm = 20 students on the other axis. Using the graph, determine :
(i) The median height.
(ii) The inter quartile range.
(iii) The number of students whose height is above 172 cm.
Related Questions
The marks obtained by 100 students in a Mathematics test are given below :
Marks No. of students 0 - 10 3 10 - 20 7 20 - 30 12 30 - 40 17 40 - 50 23 50 - 60 14 60 - 70 9 70 - 80 6 80 - 90 5 90 - 100 4 Draw an ogive on a graph sheet and from it determine the :
(i) median
(ii) lower quartile
(iii) number of students who obtained more than 85% marks in the test
(iv) number of students who did not pass in the test if the pass percentage was 35.
The marks obtained by 120 students in a Mathematics test are given below:
Marks No. of students 0 - 10 5 10 - 20 9 20 - 30 16 30 - 40 22 40 - 50 26 50 - 60 18 60 - 70 11 70 - 80 6 80 - 90 4 90 - 100 3 Draw an ogive for the given distribution on a graph sheet. Use a suitable scale for ogive to estimate the following :
(i) the median
(ii) the number of students who obtained more than 75% marks in the test.
(iii) the number of students who did not pass in the test if the pass percentage was 40.
Study the graph and answer each of the following :
(a) Name the curve plotted
(b) Total number of students
(c) The median marks
(d) Number of students scoring between 50 and 80 marks.
If the classes of a frequency distribution are 1 - 10, 11 - 20, 21 - 30, …., 51 - 60, then the size of each class is
9
10
11
5.5