The marks obtained by the students of a class- in a exam which was out of 50 mark given belowof Whline IIVhline -n2a Whline 0 0 INhline 1-2 x2 11 -4n Whline IextMarks 5 - 1 7 - 2 11 - 2 16 - 3 21 - 5 24 - 6 28 - 3 32 - 5 34 - 8 39 - 6 43 - 4 45 - 2 49 - 3 IWhline Whline INhline Whline INhline 2 IWhline IWhline Whline lend array i Find the mean for the ungrouped data-ii Represent the same data as grouped data- with class interval of width - 10 -4 MARKS-

Concept: 1 Mark Application: 2 Marks Table: 1 Mark [ x_i amp; f_i amp; f_i x_i; 5 amp; 1 amp; 5; 7 amp; 2 ...

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Standard X

Mathematics

Mean of Ungrouped Data

The marks obt...

Question

The marks obtained by the students of a class , in a exam which was out of 50 mark given below

$\begin{matrix} Marks & Number of students 5 & 1 7 & 2 11 & 2 16 & 3 21 & 5 24 & 6 28 & 3 32 & 5 34 & 8 39 & 6 43 & 4 45 & 2 49 & 3 \end{matrix}$

(i) Find the mean for the ungrouped data.

(ii) Represent the same data as grouped data, with class interval of width = 10 [4 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks
Table: 1 Mark

$\begin{matrix} x_{i} & f_{i} & f_{i} x_{i} 5 & 1 & 5 7 & 2 & 14 11 & 2 & 22 16 & 3 & 48 21 & 5 & 105 24 & 6 & 144 28 & 3 & 84 32 & 5 & 160 34 & 8 & 272 39 & 6 & 234 43 & 4 & 172 45 & 2 & 90 49 & 3 & 147 \end{matrix}$

$\sum f_{i} = 50$ $\sum f_{i} x_{i} = 1497$

Mean
$= \frac{1497}{50}$

$= 29.94$
$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s 0 - 10 & 3 10 - 20 & 5 20 - 30 & 14 30 - 40 & 19 40 - 50 & 9 \end{matrix}$

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The marks obtained by the students of a class , in a exam which was out of 50 mark given below Marks Number of students5172112163215246283325348396434452493 (i) Find the mean for the ungrouped data. (ii) Represent the same data as grouped data, with class interval of width = 10 [4 MARKS]

Concept: 1 Mark Application: 2 Marks Table: 1 Mark xififixi515721411222163482151052461442838432516034827239623443417245290493147 ∑fi=50 ∑fixi=1497 Mean =149750 =29.94 MarksNumber of students0−10310−20520−301430−401940−509