Q7 of 26 Page 258

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


7 - 12


13 - 18


19 - 24


25 - 30


31 - 36


37 - 42


43 - 48


49 - 54


55 - 60



2


1


8


9


4


5


6


10


6


2



5


6


2


10


5


6


3


4


8


10



Represent the data of both the teams on the same graph by frequency polygons.


[Hint: First make the class intervals continuous.]

The data is represented in a discontinuous class interval. So, at first, we will make it continuous.


The difference is 1.


Hence, we subtract μ = 0.5 from the lower limit and add 0.5 to the upper limit.






























































NUMBER OF BALLS




TEAM A




TEAM B




0.5-6.5




2




5




6.5-12.5




1




6




12.5-18.5




8




2




18.5-24.5




9




10




24.5-30.5




4




5




30.5-36.5




5




6




36.5-42.5




6




3




42.5-48.5




10




4




48.5-54.5




6




8




54.5-60.5




2




10



Now,


We will draw frequency polygon for the given data:



 

More from this chapter

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5

The following table gives the life times of 400 neon lamps:











Life time (in hours)



Number of lamps



300 - 400


400 - 500


500 - 600


600 - 700


700 – 800


800 – 900


900 - 1000



14


56


60


86


74


62


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?

 6

The following table gives the distribution of students of two sections according to the marks obtained by them:



















Section A



Section B



Marks



Frequency



Marks



Frequency



0 - 10


10 - 20


20 - 30


30 - 40


40 - 50



3


9


17
12


9



0 – 10


10 20


20 - 30


30 - 40


40 - 50



5


19


15


10


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.

 8

A random survey of the number of children of various age groups playing in a parkwas found as follows:











Age (in years)



Number of children



1 - 2


2 - 3


3 - 5


5 – 7


7 - 10


10 - 15


15 - 17



5


3


6


12


9


10


4



Draw a histogram to represent the data above.

 9

100 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:











10. Number of letters



11. Number of surnames



12. 1 – 4


13. 4 - 6


14. 6 - 8


15. 8 - 12


16. 12 - 20



17. 6


18. 30


19. 44


20. 16


21. 4



(i) Draw a histogram to depict the given information.


(ii) Write the class interval in which the maximum number of surname lie