The marks obtained by the sudents 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- - -4 MARKS-iFind 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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Standard IX

Mathematics

Mode of Raw Data

The marks obt...

Question

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.

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Solution

Concept: 1 Mark
Application: 3 Marks

The mode for the ungrouped data is the most frequent observation, which is 34.

Grouped data:

$\begin{matrix} Class Intervals & Frequency 0 - 10 & 3 10 - 20 & 5 20 - 30 & 14 30 - 40 & 19 40 - 50 & 9 \end{matrix}$

Modal Class is 30-40.

Mode $= I + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$

$= 30 + \frac{19 - 14}{38 - 14 - 9} \times 10 = 33.33$

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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.

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 students of a class , in a exam which was out of 50 mark given below

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Concept: 1 Mark Application: 3 Marks The mode for the ungrouped data is the most frequent observation, which is 34. Grouped data: Class IntervalsFrequency0−10310−20520−301430−401940−509 Modal Class is 30-40. Mode=I+(f1−f02f1−f0−f2)×h =30+19−1438−14−9×10=33.33