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Standard X

Mathematics

Frequency Polygon

A student dra...

Question

A student draws a cumulative frequency curve for the marks obtained by 40 students of a class as shown below. Find the median marks obtained by the students of the class.

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Solution

Here, N = 40

So,
Draw a line parallel to x-axis from the point (0, 20), intersecting the graph at point P.

Now, draw PM from P on the x-axis. The x-coordinate of M gives us the median.

∴ Median = 50

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Similar questions

Q. A student draws a cumulative frequency curve for the marks obtained by

40

students of a class as shown below. Find the median marks obtained by the students of the class

The marks obtained by 100 students of a class in an examination are given below:

$\begin{matrix} M a r k s & N u m b e r o f s t u d e n t s 0 - 5 & 2 5 - 10 & 5 10 - 15 & 6 15 - 20 & 8 20 - 25 & 10 25 - 30 & 25 30 - 35 & 20 35 - 40 & 18 40 - 45 & 4 45 - 50 & 2 \end{matrix}$

Draw cumulative frequency curves by using (i) 'less than's series and (ii) 'more than' series.

Hence,find the median.

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80,

90, 50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

How many students obtained marks below

40

The data is given for 62 students in a certain class regarding their mathematics marks out of 100. Take the classes 0-10, 10-20.. and prepare frequency distribution table and cumulative frequency table more than or equal to type.

55, 60, 81, 90, 45, 65, 45, 52, 30, 85, 20, 10, 75, 95, 09, 20, 25, 39, 45, 50, 78, 70, 46, 64, 42, 58, 31, 82, 27, 11, 78, 97, 07, 22, 2 36, 35, 40, 75, 80, 47, 69, 48, 59, 32, 83, 23, 17, 77, 45, 05, 23, 37, 38, 35, 25, 46, 57, 68, 45, 47, 49.

From the prepared table, answer the following questions :

(i) How many students obtained marks 40 or above 40 ?

(ii) How many students obtained marks 90 or above 90 ?

(iii) How many students obtained marks 60 or above 60 ?

(iv) What is the cumulative frequency of equal to or more than type of the class 0-10?

Q. The marks obtained by 40 students of a class are given below :

80, 10, 30, 70, 60, 50, 50, 40, 40, 20, 40, 90, 50, 30, 70, 10, 60, 50, 20, 70, 70, 30, 80, 40, 20, 80, 90,

50, 80, 60, 70, 40, 50, 60, 90, 60, 40, 40, 60

, and

60

Construct a frequency distribution table.

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A student draws a cumulative frequency curve for the marks obtained by 40 students of a class as shown below. Find the median marks obtained by the students of the class.

Here, N = 40 So, Draw a line parallel to x-axis from the point (0, 20), intersecting the graph at point P. Now, draw PM from P on the x-axis. The x-coordinate of M gives us the median. ∴ Median = 50

Here, N = 40

So,
Draw a line parallel to x-axis from the point (0, 20), intersecting the graph at point P.

Now, draw PM from P on the x-axis. The x-coordinate of M gives us the median.

∴ Median = 50