Mathematics
The distribution of marks of students of a class in a test is shown in the table below.
| Marks | Number of students |
|---|---|
| 0 - 15 | 12 |
| 15 - 30 | 19 |
| 30 - 45 | 8 |
| 45 - 60 | 4 |
Which of the following statements are correct?
(i) We can definitely say that no one scored 60 marks.
(ii) The number of students who got at least 30 marks is 12.
only (i)
only (ii)
both (i) and (ii)
none of these
Answer
(i) We know that given table is in exclusive form. So in exclusive form generally the upper limit of class is excluded from that group and moved to next one.
However, last class interval of the given table is 45 - 60.
So, we can strongly say that no one scored 60 marks.
∴ Statement (i) is correct.
(ii) The number of students who got at least 30 marks are
30 – 45 ⟶ 8 students
45 – 60 ⟶ 4 students
Total = 8 + 4 = 12.
∴ Statement (ii) is Correct.
Hence, option 3 is the correct option.
Related Questions
Age of teachers of a school varies from 24 years to 72 years. Rishabh has to make a grouped frequency distribution table of age of teachers. Which among the following class intervals of age will be most appropriate to make meaningful conclusion in less time and effort?
24 - 26, 26 - 28, 28 - 30, and so on
24 - 30, 30 - 36, 36 - 42, and so on
24 - 48, 48 - 72
none of these
Range of 14, 12, 17, 18, 16 and p is 20. If p>0, then p= ?
10
26
32
35
The class mark of a class-interval is 'a'. If its lower limit is a-b, then its upper limit is :
a + b
ab
b-a
2b