Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
4.0k views
in Mathematics by (3.5k points)

The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:

Number of balls 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.]

1 Answer

0 votes
by (5.8k points)
selected by
 
Best answer

It can be observed that the class intervals of the given data are not continuous.

There is a gap of 1 in between them. Therefore, 1/2 = 0.5 has to be added to the upper class limits and 0.5 has to be subtracted from the lower class limits.

Also, class mark of each interval can be found by using the following formula.

Class mark = (Upper class limit + Lower class limit) / 2

Continuous data with class mark of each class interval can be represented as follows.

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

By taking class marks on x-axis and runs scored on y-axis, a frequency polygon can be constructed as follows.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...