Q18 of 26 Page 14

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.]

To Find: Frequency polygon for the data

Given: Data of runs scored by two teams A and B on first 60 balls in a match.


Concept Used: In a frequency polygon, the number of observations is marked with a single point at the midpoint of an interval. A straight line then connects each set of points.


Explanation:


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.



Now,


We will draw frequency polygon for the given data:



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(i) Represent the given information with the help of a histogram.


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16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20


(a) Construct a frequency distribution for these data, using a class interval of 10 seconds.


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Find the mean of the following data: