Below is the distribution of "more than" type of marks obtained by $50$ students in a $100$ marks examination. Prepare the grouped frequency distribution from that.
Obtained marks No. of Students $0$ or more than $0$ $50$ $20$ or more than $20$ $48$ $40$ or more than $40$ $40$ $60$ or more than $60$ $31$ $80$ or more than $80$ $10$
| Obtained marks | No. of Students |
| $0$ or more than $0$ | $50$ |
| $20$ or more than $20$ | $48$ |
| $40$ or more than $40$ | $40$ |
| $60$ or more than $60$ | $31$ |
| $80$ or more than $80$ | $10$ |
To prepare the grouped frequency distribution,we calculate the frequency for each class interval by subtracting the number of students in the higher range from the lower range.
$1$. For $0-20$: $50 - 48 = 2$
$2$. For $20-40$: $48 - 40 = 8$
$3$. For $40-60$: $40 - 31 = 9$
$4$. For $60-80$: $31 - 10 = 21$
$5$. For $80-100$: Since there are $10$ students who scored $80$ or more,and the total is $50$,the frequency for $80-100$ is $10$.
$1$. For $0-20$: $50 - 48 = 2$
$2$. For $20-40$: $48 - 40 = 8$
$3$. For $40-60$: $40 - 31 = 9$
$4$. For $60-80$: $31 - 10 = 21$
$5$. For $80-100$: Since there are $10$ students who scored $80$ or more,and the total is $50$,the frequency for $80-100$ is $10$.
| Marks obtained (Class) | $0-20$ | $20-40$ | $40-60$ | $60-80$ | $80-100$ |
| No. of students (Frequency) | $2$ | $8$ | $9$ | $21$ | $10$ |
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