The marks obtained by the students of a class - in an exam which was out of 50 marks is given below - 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- - Find the mean for the ungrouped data-

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Standard X

Mathematics

Finding Mean for Grouped Data When Class Intervals Are Not Given

The marks obt...

Question

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

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s 5 & 1 7 & 2 11 & 2 16 & 3 21 & 5 24 & 6 28 & 3 32 & 5 34 & 8 39 & 6 43 & 4 45 & 2 49 & 3 \end{matrix}$

Find the mean for the ungrouped data.

29.94

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30.5

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Solution

The correct option is A 29.94
$\begin{matrix} x_{i} & f_{i} & f_{i} x_{i} 5 & 1 & 5 7 & 2 & 14 11 & 2 & 22 16 & 3 & 48 21 & 5 & 105 24 & 6 & 144 28 & 3 & 84 32 & 5 & 160 34 & 8 & 272 39 & 6 & 234 43 & 4 & 172 45 & 2 & 90 49 & 3 & 147 \end{matrix}$

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

$∴ M e a n = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{1497}{50}$
$= 29.94$

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Similar questions

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]

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

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s 5 & 1 7 & 2 11 & 2 16 & 3 21 & 5 24 & 6 28 & 3 32 & 5 34 & 8 39 & 6 43 & 4 45 & 2 49 & 3 \end{matrix}$

Find the mean for the ungrouped data.

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

The marks obtained by the sudents of a class, in an exam which was out of 50 marks,is given below.

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

(i)Find mode for the ungrouped data.

(ii) Represent the same as grouped data, with class intervals of width = 10 and find the mode for the grouped data.

Q. The marks obtained by the sudents of a class, in an exam which was out of 50 marks,is 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 mode for the ungrouped data.

(ii) Represent the same as grouped data, with class intervals of width = 10 and find the mode for the grouped data.

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The marks obtained by the students of a class , in an exam which was out of 50 marks is given below : MarksNumber of students5172112163215246283325348396434452493 Find the mean for the ungrouped data.

The correct option is A 29.94xififixi515721411222163482151052461442838432516034827239623443417245290493147 ∑fi=50 and ∑fixi=1497 ∴Mean=∑fixi∑fi =149750 =29.94