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

Open in App

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.

Suggest Corrections

Similar questions

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. 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

The median class for the following data is
$\begin{matrix} Marks & B e l o w 10 & B e l o w 20 & B e l o w 30 & B e l o w 40 & B e l o w 50 No. of students & 5 & 10 & 23 & 31 & 40 \end{matrix}$

The marks for Computer Science obtained by 40 students out of 60 is given below:
$\begin{matrix} Marks & 43 & 55 & 40 & 30 & 60 No. of students & 7 & 10 & 13 & 8 & 2 \end{matrix}$ .

Find the mode of the above data.

Q. Find the sum of lower limit of the modal class and upper limit of modal class from the following frequency distribution table for the given data:

Class	Frequency
$10 - 20$	$1$
$20 - 30$	$3$
$30 - 40$	$5$
$40 - 50$	$9$
$50 - 60$	$7$
$60 - 70$	$3$

Join BYJU'S Learning Program

Explore more

Cumulative Frequency

Standard X Mathematics

Join BYJU'S Learning Program

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