Q. 24.3( 48 Votes )

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Answer :

According to the question,


At first,


We will draw the frequency table of the given data.


Hence,




(i) Now,


Clearly, The highest number among the given data is 9


(ii) Clearly, The lowest number among the given data is 1


(iii)


We know that,


Range = Highest value – Lowest value


Hence,


Range of the given data can be calculated as follows:


Range = highest number – lowest number


= 9 – 1


= 8


(iv) Here,


We have to find the arithmetic mean of the given data


Now,


At first,


We’ll find the sum of all the observations


Thus,


Sum of all the observations = 4 + 6 + 7 + 5 + 3 + 5 + 4 + 5 + 2 + 6 + 2 + 5 + 1 + 9 + 6 + 5 + 8 + 4 + 6 + 7 = 100


Now,


Total number of observations = 20


Hence,


Arithmetic mean =


=


= 5

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