Given below are the marks obtained by 27 students in a test:

Given below are the marks obtained by 27 students in a test:
21, 3, 28, 38, 6, 40, 20, 26, 9, 8, 14, 18, 20, 16, 17, 10, 8, 5, 22, 27, 34, 2, 35, 31, 16, 28, 37.
(i) Using the class intervals 1-10, 11-20 etc. construct a frequency table.
(ii) State the range of these marks.
(iii) State the class mark of the third class of your frequency table.

Solution:

(i) The frequency table :

Class Tally marks Frequency
1-10 IIII II 7
11-20 IIII III 8
21-30 IIII I 6
31-40 IIII I 6

(ii) Range of these marks is 38.
(iii) The class mark of the third class of your frequency table = (21 + 30)/ 2 = 25.5

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