Q. 64.4( 44 Votes )

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Answer :

Here,


According to the question,


At first,


We will arrange the data in the ascending order


Thus,


The marks obtained by the group of students in a science test can be arranged in an ascending order as follows:


39, 48, 56, 75, 76, 81, 85, 85, 90, 95


(i) Now,


As per the question,


Here,


We have to find the following two things,


The highest marks obtained in Science


And,


The lowest marks obtained in Science


Hence,


We can observe that,


Highest marks = 95


Lowest marks = 39


(ii) Now,


We have to find the range of the given data.


And,


We know that,


Range = Highest value – Lowest value


Hence,


Range of the given data can be calculated as follows:


Range = highest number – lowest number


= 95 – 39


= 56


(iii) 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 = 85 + 76 + 90 + 85 + 39 + 48 + 56 + 95 + 81 + 75


= 730


Now,


Total number of observations = 10


Hence,


Arithmetic mean =


=


= 73


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