Mathematics
Marks obtained by 200 students in an examination are given below:
| Marks | Number of students |
|---|---|
| 0 - 10 | 5 |
| 10 - 20 | 11 |
| 20 - 30 | 10 |
| 30 - 40 | 20 |
| 40 - 50 | 28 |
| 50 - 60 | 37 |
| 60 - 70 | 40 |
| 70 - 80 | 29 |
| 80 - 90 | 14 |
| 90 - 100 | 6 |
Draw an ogive for the given distribution taking 1 cm = 10 marks on one axis and 2 cm = 20 students on other axis.
Using the graph, determine :
(i) The median marks
(ii) The number of students who failed, if minimum marks required to pass is 40.
(iii) If scoring 85 and more marks is considered as grade one, find the number of students who secured grade one in the examination.
Related Questions
From the following frequency distribution find :
(i) Median
(ii) Lower quartile (Q1)
(iii) Upper quartile (Q3)
(iv) Interquartile range
Variate Frequency 26 6 25 4 18 8 16 9 30 5 28 11 20 13 23 4 The following table shows the weights (in gm) of a sample of 100 apples, taken from a large consignment:
Weight (in gm) Number of apples 50 - 60 8 60 - 70 10 70 - 80 12 80 - 90 16 90 - 100 18 100 - 110 14 110 - 120 12 120 - 130 10 (i) Construct the cumulative frequency table
(ii) Draw the cumulative frequency curve on a graph paper and from it, determine the median weight of the apples.
Marks obtained by 200 students in an examination are given below:
Marks Number of students 0 - 10 5 10 - 20 10 20 - 30 14 30 - 40 21 40 - 50 25 50 - 60 34 60 - 70 36 70 - 80 27 80 - 90 16 90 - 100 12 Draw an ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on other axis. From the graph, find:
(i) the median
(ii) the upper-quartile
(iii) number of students scoring more than 65 marks
(iv) if 10 students qualify for merit-scholarship, find the minimum marks required to qualify.
The table below shows the distribution of the scores obtained by 120 shooters in shooting competition. Using a graph sheet, draw an ogive for the distribution.
Scores obtained Number of shooters 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 Use your ogive to estimate :
(i) the median
(ii) the inter-quartile range
(iii) the number of shooters who obtained more than 75% score.