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 numbers 6, 8, 10, 12, 13 and x are arranged in an ascending order. If the mean of the observations is equal to the median, find the value of x.
The mean of numbers 45, 52, 60, x, 69, 70, 26, 81 and 94 is 68. Find the value of x. Hence, estimate the median for the resulting data.
The marks of 10 students of a class in an examination arranged in ascending order is as follows :
13, 35, 43, 46, x, x + 4, 55, 61, 71, 80.
If the median marks is 48, find the value of x. Hence, find the mode of the given data.
The histogram below represents the scores obtained by 25 students in a Mathematics mental test. Use the data to :
(i) Frame a frequency distribution table.
(ii) To calculate mean.
(iii) To determine the modal class.
