Question 10 The following table shows the cumulative frequency distribution of marks of 800 students in an examination- Nbeginarray c - c Wline Marks - Number of studentsll WlineBelow 10 - 10 1 Below 20 - 50 Below 30 - 130 1Below 40 - 270 Below 50 - 440 Below 60 - 570 1Below 70 - 670 1Below 80 - 740 Below 90 - 780 Below 100 - 800 1Wlinelend array Construct a frequency distribution table for the data above-

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Standard X

Mathematics

Cumulative Frequency

Question 10 T...

Question

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.

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Solution

Here, we observe that 10 students have scored marks below 10 i.e., it lies between class interval 0-10. Similarly, 50 students have scored marks below 20. So, 50-10=40 students lies in the interval 10-20 and so on. The table of a frequency distribution for the given data is
$\begin{matrix} C l a s s i n t e r v a l & N u m b e r o f s t u d e n t s 0 - 10 & 10 10 - 20 & 50 - 10 = 40 20 - 30 & 130 - 50 = 80 30 - 40 & 270 - 130 = 140 40 - 50 & 440 - 270 = 170 50 - 60 & 570 - 440 = 130 60 - 70 & 670 - 570 = 100 70 - 80 & 740 - 670 = 70 80 - 90 & 780 - 740 = 40 90 - 100 & 800 - 780 = 20 \end{matrix}$

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Similar questions

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.

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. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

Construct a frequency distribution table.

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.

The following table gives the frequency distribution of marks obtained by $28$ students.

$\begin{matrix} Marks & 30 & 31 & 32 & 33 Frequency & 5 & 7 & 10 & 6 \end{matrix}$

Construct the cumulative frequency table for the given data.

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