Mathematics
The following table gives the distribution of students of two sections according to the marks obtained by them:
Section A
| Marks | Frequency |
|---|---|
| 0 - 10 | 3 |
| 10 - 20 | 9 |
| 20 - 30 | 17 |
| 30 - 40 | 12 |
| 40 - 50 | 9 |
Section B
| Marks | Frequency |
|---|---|
| 0 - 10 | 5 |
| 10 - 20 | 19 |
| 20 - 30 | 15 |
| 30 - 40 | 10 |
| 40 - 50 | 1 |
Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.
Related Questions
The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table :
Length (in mm) Number of leaves 118 - 126 3 127 - 135 5 136 - 144 9 145 - 153 12 154 - 162 5 163 - 171 4 172 - 180 2 (i) Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
(ii) Is there any other suitable graphical representation for the same data?
(iii) Is it correct to conclude that the maximum number of leaves are 153 mm long? Why?
The following table gives the life times of 400 neon lamps:
Life time (in hours) Number of lamps 300 - 400 14 400 - 500 56 500 - 600 60 600 - 700 86 700 - 800 74 800 - 900 62 900 - 1000 48 (i) Represent the given information with the help of a histogram.
(ii) How many lamps have a life time of more than 700 hours?
The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:
Number of ball Team A Team B 1 - 6 2 5 7 - 12 1 6 13 - 18 8 2 19 - 24 9 10 25 - 30 4 5 31 - 36 5 6 37 - 42 6 3 43 - 48 10 4 49 - 54 6 8 55 - 60 2 10 Represent the data of both the teams on the same graph by frequency polygons. [Hint : First make the class intervals continuous.]
A random survey of the number of children of various age groups playing in a park was found as follows:
Age (in years) Number of children 1 - 2 5 2 - 3 3 3 - 5 6 5 - 7 12 7 - 10 9 10 - 15 10 15 - 17 4 Draw a histogram to represent the data above.