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: $17, 22, 29, 37, 50$ respectively. Form the frequency distribution table for the data.

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Solution

Forming the frequency distribution table of given data.
Given: Marks and Cumulative frequency
Tip: In the frequency column, Start from the last and subtract the corresponding cumulative frequency with the above cumulative frequency and repeat the process. Also, in first-row frequency will be the same as the cumulative frequency.
Marks Cumulative Frequency Frequency
$0 - 20$ $17$ $17$
$20 - 40$ $22$ $22 - 17 = 5$
$40 - 60$ $29$ $29 - 22 = 7$
$60 - 80$ $37$ $37 - 29 = 8$
$80 - 100$ $50$ $50 - 37 = 13$
Total $= 50$
Hence, the frequency table of the given data is attached above.

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Similar questions

Q. Given below is a cumulative frequency table:

Marks	Number of students
Below 10	17
Below 20	22
Below 30	29
Below 40	37
Below 50	50
Below 60	60

Extract a frequency table from the above.

Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class
$\begin{matrix} M a r k s & B e l o w 20 & B e l o w 40 & B e l o w 60 & B e l o w 80 & B e l o w 100 N u m b e r o f s t u d e n t s & 17 & 22 & 29 & 37 & 50 \end{matrix}$
Form the frequency distribution table for the data.

Q. Question 14
Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class

\begin{matrix} M a r k s & B e l o w 20 & B e l o w 40 & B e l o w 60 & B e l o w 80 & B e l o w 100 N u m b e r o f s t u d e n t s & 17 & 22 & 29 & 37 & 50 \end{matrix}

Form the frequecy distribution table for the data.

Q. Question 10
The following table shows the cumulative frequency distribution of marks of 800 students in an examination.

\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 10 B e l o w 20 & 50 B e l o w 30 & 130 B e l o w 40 & 270 B e l o w 50 & 440 B e l o w 60 & 570 B e l o w 70 & 670 B e l o w 80 & 740 B e l o w 90 & 780 B e l o w 100 & 800 \end{matrix}

Construct a frequency distribution table for the data above.

The following table shows the cumulative frequency distribution of marks of $800$ students in an examination
Marks Number of students
Below $10 - 10$
Below $20 - 50$
Below $30 - 130$
Below $40 - 270$
Below $50 - 440$
Below $60 - 570$
Below $70 - 670$
Below $80 - 740$
Below $90 - 780$
Below $100 - 800$
Construct a frequency distribution table for the data above.

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Marks	Cumulative Frequency	Frequency
$0 - 20$	$17$	$17$
$20 - 40$	$22$	$22 - 17 = 5$
$40 - 60$	$29$	$29 - 22 = 7$
$60 - 80$	$37$	$37 - 29 = 8$
$80 - 100$	$50$	$50 - 37 = 13$
		Total $= 50$

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 respectively. Form the frequency distribution table for the data.

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: $17, 22, 29, 37, 50$ respectively. Form the frequency distribution table for the data.