Q2 of 40 Page 82

Prepare the frequency distribution table for the given set of scores:

39, 16, 30, 37, 53, 15, 16, 60, 58, 26, 28, 19, 20, 12, 14, 24, 59,


21, 57, 38, 25, 36, 34, 15, 25, 41, 52, 45, 60, 63, 18, 26, 43, 36,


18, 27, 59, 63, 46, 48, 25, 33, 46, 27, 46, 42, 48, 35, 64, 24.


Take class intervals as (10-20), (20-30), ... and answer the following:


(i) What does the frequency corresponding to the third class interval mean?


(ii) What is the size of each class interval? Find the midpoint of the class interval 30-40.


(iii) What is the range of the given set of scores?

Theory.


The number of times a particular observation occurs in data is called frequency.


Showing data in tabular form with showing frequency of each distribution. This representation is called Frequency distribution table.



(i) Third interval is 30-40


The frequency of the Third interval is 10


(ii) Class size = upper limit – lower limit


In class interval 30-40


Upper limit of interval is 40


Lower limit of interval is 30


Class size = 40 – 30 = 10


Midpoint =


= = = 35


(iii) Range = highest – lowest


Highest Score is 64


Lowest Score is 12


Range = 64 – 12 = 52


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