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Directions (1 - 4): The marks obtained by 273 examinees are shown by the frequency polygon. Given that mean marks is 59.5. Study the frequency polygon and answer the given questions.
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1
The number of examinees getting more than average marks is:
Discuss
Answer & Solution
Number of examinees getting more than the average marks
= 72 + 48 + 24 + 8
= 152
2
If 40 is the pass marks, percentage of students failed is-
Discuss
Answer & Solution
Number of students who got 40% or less marks
= 2 + 4 + 12 + 26
= 44
∴ Required percentage
$$\eqalign{ & = \frac{44}{273} \times 100 \cr & = 16.11\% \cr} $$
3
Percentage of the students who get above 80% marks is-
Discuss
Answer & Solution
Number of students who got above 80% marks
= 24 + 8
= 32
∴ Required percentage
$$\eqalign{ & = \frac{32}{273} \times 100 \cr & = 11.72\% \cr}$$
4
Percentage of the students who got marks above 60% and below 80% is-
Discuss
Answer & Solution
Number of students who got marks above 60% and below 80%
= 72 + 48
= 120
∴ Required percentage
$$\eqalign{ & = \frac{120 \times 100}{273} \cr & = 43.95\% \cr} $$