Question 14Given 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 frequecy distribution table for the data-

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Standard VIII

Mathematics

Frequency Distribution Table

Question 14Gi...

Question

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.

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Solution

Here, we observe that, 17 students have scored marks below 20 i.e., it lies between class interval 0-20 and 22 students have scored marks below 40, so 22-17 = 5 students lies in the class interval 20-40 continuing in the same manner, we get the complete frequency distribution table for given data.
$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s 0 - 20 & 17 20 - 40 & 22 - 17 = 5 40 - 60 & 29 - 22 = 7 60 - 80 & 37 - 29 = 8 80 - 100 & 50 - 37 = 13 \end{matrix}$

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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. Find the mean marks of the students from the following cumulative frequency distribution:

Marks:	Below 10	Below 20	Below 30	Below 40	Below 50	Below 60	Below 70	Below 80	Below 90	Below 100
Number of students:	5	9	17	29	45	60	70	78	83	85

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 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 gives the marks obtained by the students of a class in an exam out of 50.

$\begin{matrix} Marks & No. of Students B e l o w 10 & 5 B e l o w 20 & 10 B e l o w 30 & 23 B e l o w 40 & 31 B e l o w 50 & 40 \end{matrix}$

(i) Convert the cumulative frequency distribution into a regular frequency distribution.

(ii) Find the mean. [3 MARKS]

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Question 14 Given below is a cumulative frequency distribution showing the marks secured by 50 students of a class MarksBelow 20Below 40Below 60Below 80Below 100Number of students1722293750 Form the frequecy distribution table for the data.