From the frequency distribution of student marks- find the number of students who scored less than 22-5 marks- - Class 12-5 - 17-5 17-5 - 22-5 22-5 - 27-5 27-5 - 32-5 32-5 - 37-5- Frequency 2 22 19 14 13- -

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Standard X

Mathematics

Cumulative Frequency Distribution of Less Than Type

From the freq...

Question

From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks. $\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}$

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Solution

The correct option is D 24
From the grouped frequency table, we can see 2 students got marks between 12.5 to 17.5 and 22 students got marks between 17.5 and 22.5.
Thus the number of people who have got marks less than 22.5 will include both those students who have got marks between 12.5 and 17.5 and those who have got marks between 17.5 and 22.5. This is nothing but 2 + 22 = 24.

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Q. From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks.

\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}

Q. The daily wages in a factory are distributed as follows

:

Daily wages (in Rs.)	$12.5 - 17.5$	$17.5 - 22.5$	$22.5 - 27.5$	$27.5 - 32.5$	$32.5 - 37.5$
Number of workers	$4$	$20$	$22$	$10$	$6$

Draw a frequency polygon for this distribution .

$\begin{matrix} Class mark & 12.5 & 17.5 & 22.5 & 27.5 & 32.5 & 37.5 & 42.5 Frequency & 12 & 17 & 22 & 27 & 30 & 21 & 16 \end{matrix}$

(a) From the distribution, given above, construct a frequency table.

(b) Use the table obtained in part (a) to draw : (i) a histogram, (ii) an ogive.

Represent the given data using a suitable bar graph. [4 MARKS]

$\begin{matrix} F r u i t s & M a n g o & A p p l e & O r a n g e & P a p a y a & B a n a n a Sales on Monday & 17.5 & 7.5 & 27.5 & 22.5 & 32.5 Sales on Tuesday & 22.5 & 10 & 35 & 22.5 & 27.5 \end{matrix}$

From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks?

$\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}$

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From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks. Class12.5−17.517.5−22.522.5−27.527.5−32.532.5−37.5Frequency222191413

From the frequency distribution of student marks, find the number of students who scored less than 22.5 marks. $\begin{matrix} C l a s s & 12.5 - 17.5 & 17.5 - 22.5 & 22.5 - 27.5 & 27.5 - 32.5 & 32.5 - 37.5 F r e q u e n c y & 2 & 22 & 19 & 14 & 13 \end{matrix}$