Question 8 For the following distribution- beginarray c - c WhineMarks - Number of studentslllhlineBelow 10 - 3 Whline Below 20 - 12 1llhline Below 30 - 27Nlhline Below 40 - 57 Nhline Below 50 - 75lllhlineBelow 60 - 80Nllhlinearray the modal class isa 10-20b 20-30c 30-40d 50-60

Name: EXEMP - Grade 10 - Mathematics - Statistics and Probability - Q8
Uploaded: 2022-07-04T10:36:42+05:30
Description: [ Marks amp; Number of students amp; Cumulative frequency; Below 10 amp; 3=3 amp; 3; ...

[ Marks amp; Number of students amp; Cumulative frequency; Below 10 amp; 3=3 amp; 3; ...

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Standard X

Mathematics

Class Interval

Question 8 Fo...

Question

Question 8
For the following distribution,
$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 3 B e l o w 20 & 12 B e l o w 30 & 27 B e l o w 40 & 57 B e l o w 50 & 75 B e l o w 60 & 80 \end{matrix}$
the modal class is
(a) 10 - 20
(b) 20 - 30
(c) 30 - 40
(d) 50 - 60

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Solution

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s & C u m u l a t i v e f r e q u e n c y B e l o w 10 & 3 = 3 & 3 10 - 20 & (12 - 3) = 9 & 12 20 - 30 & (27 - 12) = 15 & 27 30 - 40 & (57 - 27) = 30 & 57 40 - 50 & (75 - 57) = 18 & 75 50 - 60 & (80 - 75) = 5 & 80 \end{matrix}$
Here, we see that the highest frequency is 30. which lies in the interval 30-40.
Therefore the modal class is 30-40.

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Q. Consider the following frequency distribution

Class	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	3	9	15	30	18	5

The modal class is
(a) 10-20
(b) 20-30
(c) 30-40
(d) 50-60

Calculate the median for the following distribution.

$\begin{matrix} M a r k s o b t a i n e d & N u m b e r o f s t u d e n t s B e l o w 10 & 6 B e l o w 20 & 15 B e l o w 30 & 29 B e l o w 40 & 41 B e l o w 50 & 60 B e l o w 60 & 70 \end{matrix}$ [4 MARKS]

Q. For the following distribution:
Below: 10 20 30 40 50 60

Number of students: 3 12 27 57 75 80

the modal class is

(a) 10-20 (b) 20-30 (c) 30-40 (d) 50-60

Q. For the following distribution:

Marks	Below $10$	Below $20$	Below $30$	Below $40$	Below $50$	Below $60$
No. of students	$3$	$12$	$27$	$57$	$75$	$80$

Find the median class.

Find the median class for the below distribution.
$\begin{matrix} C l a s s & C u m u l a t i v e f r e q u e n c y 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$

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Class Interval

Standard X Mathematics

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Question 8 For the following distribution, MarksNumber of studentsBelow 103Below 2012Below 3027Below 4057Below 5075Below 6080 the modal class is (a) 10 - 20 (b) 20 - 30 (c) 30 - 40 (d) 50 - 60

MarksNumber of studentsCumulativefrequencyBelow 103=3310−20(12−3)=91220−30(27−12)=152730−40(57−27)=305740−50(75−57)=187550−60(80−75)=580 Here, we see that the highest frequency is 30. which lies in the interval 30-40. Therefore the modal class is 30-40.

Question 8
For the following distribution,
$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s B e l o w 10 & 3 B e l o w 20 & 12 B e l o w 30 & 27 B e l o w 40 & 57 B e l o w 50 & 75 B e l o w 60 & 80 \end{matrix}$
the modal class is
(a) 10 - 20
(b) 20 - 30
(c) 30 - 40
(d) 50 - 60