Question

The dot plot represents the number of students obtaining different scores in an exam. Each dot represents 5 students.


(i) The score $83$ is obtained by $3$ students.
(ii) There are $10$ unique scores obtained by the students in the class.
(iii) The highest score is obtained by $15$ students.
(iv) The score $79$ is obtained by $20$ students.
Which of the given statements is/are true?

• A. (i)
  
• B. (iii)
• C. Both (ii) and (iv)
  
• D. Both (i) and (iii)

Answer 1

The correct option is C Both (ii) and (iv)


There are $3$ dots corresponding to the score $83$.
So, the score $83$ is obtained by
$3\times 5=15$ students.
So (i) is not true.
There are $10$ unique scores obtained by the students in the class.
So (ii) is true.
The highest score is $88$ corresponding to which are $2$ dots. So the number of students scoring the highest is$2\times 5=10$ students.
So (iii) is not true.
There are $4$ dots corresponding to the score $79$.
So, the score $79$ is obtained by $4\times 5=20$ students.
So (iv) is true.
Hence, both options (ii) and (iv) are correct.