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Standard X

Mathematics

Finding Median for Grouped Data When Class Intervals Are Given

The marks sco...

Question

The marks scored by $20$ students in exam are given below $:$ Find the median.
Marks
$50$
$60$
$70$
$80$
Students
$1$
$2$
$3$
$4$

70

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80

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90

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60

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Solution

The correct option is A $70$
Marks
Students(f)
Cumulative frequency(cf)
$50$
$1$
$1$
$60$
$2$
$1 + 2 = 3$
$70$
$3$
$3 + 3 = 6$
$80$
$4$
$6 + 4 = 10$

$n = Σ f = 10$
$\frac{n}{2} = \frac{10}{2} = 5$
$\frac{n}{2} = \frac{10}{2} = 5$
Therefore, the corresponding value of marks for $5$ is $70$ .

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Similar questions

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

Q. Find the median for the grouped data given below

:

Marks	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Students	$3$	$4$	$8$	$5$

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.

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 numbers are less than

35

The marks scored by 20 students in a test are given below: 54,42,68,56,62,71,78,51,72,53,44,58,47,64,41,57,89,53,84,57 Complete the following frequency table:

$\begin{matrix} Marks in class intervals & Tally marks & Frequency (No.of children) 40 - 50 50 - 60 60 - 70 70 - 80 80 - 90 \end{matrix}$

What is the class interval in which the greatest frequency occurs?

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Marks	Students(f)	Cumulative frequency(cf)
$50$	$1$	$1$
$60$	$2$	$1 + 2 = 3$
$70$	$3$	$3 + 3 = 6$
$80$	$4$	$6 + 4 = 10$
	$n = Σ f = 10$ $\frac{n}{2} = \frac{10}{2} = 5$

The marks scored by 20 students in exam are given below: Find the median.Marks50607080Students1234

The correct option is A 70MarksStudents(f)Cumulative frequency(cf)50116021+2=37033+3=68046+4=10n=Σf=10n2=102=5n2=102=5Therefore, the corresponding value of marks for 5 is 70.

The marks scored by $20$ students in exam are given below $:$ Find the median.
Marks
$50$
$60$
$70$
$80$
Students
$1$
$2$
$3$
$4$

The correct option is A $70$
Marks
Students(f)
Cumulative frequency(cf)
$50$
$1$
$1$
$60$
$2$
$1 + 2 = 3$
$70$
$3$
$3 + 3 = 6$
$80$
$4$
$6 + 4 = 10$

$n = Σ f = 10$
$\frac{n}{2} = \frac{10}{2} = 5$
$\frac{n}{2} = \frac{10}{2} = 5$
Therefore, the corresponding value of marks for $5$ is $70$ .