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 secured Number of students- 0-20 20- 20-40 35- 40-60 65- 60-80 60- 80-100 70- -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 ...

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Standard X

Mathematics

Finding Mode for Grouped Data Wen Class Intervals Are Not Given

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]

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Solution

Concept: 1 Mark
Application: 1 Mark

Modal Class is 80-100

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

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

$= 82.5$

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

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

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(ii) more than 60
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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
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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

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

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

$= 82.5$