250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is a below lbegin array -1- WlineMarks secured - Number of students IWhline 0 -20 - 20 Whline20-40 - 35 whline40-60 - 65 Whline60-80 - 60 Whline80-100 - 70 Whlineend array Find the modal vlaue of the above data- -2 MARKS-

Concept: 1 Mark Application: 1 Mark Modal Class is 80 100 Mode = l+ (f_1 f_0/2f_1 f_0 f_2) × h =80+70 60/140 60× 20 = 82.5 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Best Suited Measure of Central Tendency in Different Cases and the Empirical Relationship between Them

250 students ...

Question

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is a below

$\begin{matrix} M a r k s s e c u r e d & N u m b e r o f s t u d e n t s 0 - 20 & 20 20 - 40 & 35 40 - 60 & 65 60 - 80 & 60 80 - 100 & 70 \end{matrix}$

Find the modal vlaue of the above data. [2 MARKS]

Open in App

Solution

Concept: 1 Mark
Application: 1 Mark

Modal Class is 80-100

$M o d e = l + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$

$= 80 + \frac{70 - 60}{140 - 60} \times 20$

$= 82.5$

Suggest Corrections

Similar questions

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below.

$\begin{matrix} M a r k s S e c u r e d & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 N u m b e r o f s t u d e n t s & 20 & 35 & 65 & 60 & 70 \end{matrix}$

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below.
$\begin{matrix} Marks secured & 0 - 20 & 21 - 40 & 41 - 60 & 61 - 80 & 81 - 100 Number of students & 20 & 35 & 65 & 60 & 70 \end{matrix}$

Find the probability of selecting at random, a student who scored

(i) not more than 40
(ii) more than 60
(iii) more than 80 [ 2 MARKS ]

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is as below. $\begin{matrix} M a r k s s e c u r e d & 0 - 20 & 21 - 40 & 41 - 60 & 61 - 80 & 81 - 100 N u m b e r o f s t u d e n t s & 20 & 35 & 65 & 60 & 70 \end{matrix}$

Find the probability of selecting at random, a student who scored

(i) not more than 40
(ii) more than 60
(iii) more than 80 [ 2 MARKS ]

Find the probability of selecting at random, a student who scored

(i) not more than 40
(ii) more than 60
(iii) more than 80 [ 2 MARKS ]

Q. Marks secured by

60

students of a class in a test are given below. Draw histogram for the given data.

Marks	0-10	10-20	20-30	30-40	40-50	50-60
No. of Students	7	10	14	20	6	3

Join BYJU'S Learning Program

250 students of class X of a school appeared in a test of 100 marks and the data about the marks secured is a below Marks securedNumber of students0−202020−403540−606560−806080−10070 Find the modal vlaue of the above data. [2 MARKS]

Concept: 1 Mark Application: 1 Mark Modal Class is 80-100 Mode=l+(f1−f02f1−f0−f2)×h =80+70−60140−60×20 =82.5

Concept: 1 Mark
Application: 1 Mark

Modal Class is 80-100

$M o d e = l + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$

$= 80 + \frac{70 - 60}{140 - 60} \times 20$

$= 82.5$