The marks of 30 students in a test is shown as follows: 12, 16, 22, 24, 11, 7, 9, 11, 13, 14, 17, 19, 18, 21, 22, 23, 8, 9, 17, 16, 14, 23, 24, 24, 23, 17, 18, 16, 11, 9 Which Tally table represent the correct data of the marks of the students. (A) Interval of marks Tally marks of students 0-5 0 5-10 |||| 10-15 |||| || 15-20 |||| |||| 20-25 |||| |||| (B) Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| ||| 15-20 |||| |||| 20-25 |||| || (C) Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| || 15-20 |||| |||| 20-25 |||| || (D) Interval of marks Tally marks of students 0-5 0 5-10 |||| 10-15 |||| || 15-20 |||| ||| 20-25 |||| ||||
The marks of 30 students in a test is shown as follows: 12, 16, 22, 24, 11, 7, 9, 11, 13, 14, 17, 19, 18, 21, 22, 23, 8, 9, 17, 16, 14, 23, 24, 24, 23, 17, 18, 16, 11, 9 Which Tally table represent the correct data of the marks of the students. (A) Interval of marks Tally marks of students 0-5 0 5-10 |||| 10-15 |||| || 15-20 |||| |||| 20-25 |||| |||| (B) Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| ||| 15-20 |||| |||| 20-25 |||| || (C) Interval of marks Tally marks of students 0-5 0 5-10 |||| | 10-15 |||| || 15-20 |||| |||| 20-25 |||| || (D) Interval of marks Tally marks of students 0-5 0 5-10 |||| 10-15 |||| || 15-20 |||| ||| 20-25 |||| |||| Correct Answer (A)
Concept used:
In the tally, | → 1, || → 2, ||| → 3, |||| → 4 and |||| → 5
Calculation:
The number of students in marks interval of 0 to 5 = 0
The number of students in marks interval of 5 to 10 = 5 i.e(7, 9, 8, 9, 9)
The number of students in marks interval of 10 to 15 = 7 i.e(12, 11, 11, 13, 14, 14, 11)
The number of students in marks interval of 15 to 20 = 9 i.e(16, 17, 19, 18, 17, 16, 17, 18, 16)
The number of students in marks interval of 20 to 25 = 9 i.e(22, 24, 21, 22, 23, 23, 24, 24, 23)
From this observation, The correct tally table is
∴ A correct answer is an option (A)