Given below is a cumulative frequency distribution showing the marks secured by $50$ students of a class:
Marks Below $20$ Below $40$ Below $60$ Below $80$ Below $100$
Number of students $17$ $22$ $29$ $37$ $50$

Form the frequency distribution table for the data.

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(N/A) To convert the cumulative frequency distribution into a frequency distribution,we subtract the cumulative frequency of the preceding class from the cumulative frequency of the current class.
$1$. For the interval $0-20$,the frequency is $17$.
$2$. For the interval $20-40$,the frequency is $22 - 17 = 5$.
$3$. For the interval $40-60$,the frequency is $29 - 22 = 7$.
$4$. For the interval $60-80$,the frequency is $37 - 29 = 8$.
$5$. For the interval $80-100$,the frequency is $50 - 37 = 13$.
The resulting frequency distribution table is:
Marks Number of students
$0-20$ $17$
$20-40$ $5$
$40-60$ $7$
$60-80$ $8$
$80-100$ $13$

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Find the mean,median,and mode of the following frequency distribution:
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