A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:
Represent the data of both the teams on the same graph by frequency polygons. [Hint: First make the class intervals continuous.]
Solution:
- It can be observed from the given data that the class intervals of the given data are not continuous. There is a gap of ‘1’ unit between them. So, to make the class intervals continuous, 0.5 has to be added to every upper-class limit and 0.5 has to be subtracted from the lower-class limit:
- The number of balls class mark can also be found as shown below:
Class Mark = (Upper Limit + Lower Limit) / 2
The data table with continuous interval and with class mark is as below:
Number of balls |
Class Mark |
Team A |
Team B |
0.5–6.5 |
3.5 |
2 |
5 |
6.5–12.5 |
9.5 |
1 |
6 |
12.5–18.5 |
15.5 |
8 |
2 |
18.5–24.5 |
21.5 |
9 |
10 |
24.5–30.5 |
27.5 |
4 |
5 |
30.5–36.5 |
33.5 |
5 |
6 |
36.5–42.5 |
39.5 |
6 |
3 |
42.5–48.5 |
45.5 |
10 |
4 |
48.5–54.5 |
51.5 |
6 |
8 |
54.5–60.5 |
57.5 |
2 |
10 |
The frequency polygon for the above data can be constructed by
- Number of balls on x-axis using class mark values.
- Runs scored on y-axis with an approximate scale of “1 unit = 1 run” as the lowest run is 1 and the highest is10.
☛ Check: NCERT Solutions for Class 9 Maths Chapter 14
Video Solution:
The runs scored by two teams A and B on the first 60 balls in a cricket match are given below: Represent the data of both the teams on the same graph by frequency polygons
NCERT Solutions for Class 9 Maths Chapter 14 Exercise 14.3 Question 7
Summary:
The data of runs scored by two teams A and B on the first 60 balls in a cricket match is given. We have made a frequency polygon to represent the data of both teams.
☛ Related Questions:
- Given below are the seats won by different political parties in the polling outcome of a state assembly elections: i) Draw a bar graph to represent the polling results. ii) Which political party won the maximum number of seats?
- The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table: 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 lifetimes of 400 neon lamps: (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 following table gives the distribution of students of two sections according to the marks obtained by them: 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.
Math worksheets and
visual curriculum
visual curriculum