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Standard X

Mathematics

Finding Mode for Grouped Data When Class Intervals Are Given

What is the m...

Question

What is the modal class for the following table given below $?$
Fruits
$100 - 90$
$90 - 80$
$80 - 70$
$70 - 60$
$60 - - 50$
$50 - 40$
$40 - 30$
Boxes
$12$
$34$
$56$
$78$
$98$
$65$
$70$

100 - 90

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40 - 30

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80 - 70

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60 - 50

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Solution

The correct option is C $60 - 50$
Modal class is the class which has the highest frequency.

The highest frequency is $98$ which is associated with the class $60 - 50$
Therefore, the modal class is $60 - 50$

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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

Construct a frequency distribution table.

Q. Identify the median class from the given data

:

Fruits	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Boxes	$1$	$3$	$6$	$7$	$8$	$5$	$7$

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 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

Q. Find variance for following data:

Class interval	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
Frequency	$3$	$7$	$12$	$15$	$8$	$3$	$2$

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Fruits	$100 - 90$	$90 - 80$	$80 - 70$	$70 - 60$	$60 - - 50$	$50 - 40$	$40 - 30$
Boxes	$12$	$34$	$56$	$78$	$98$	$65$	$70$

What is the modal class for the following table given below?Fruits100−9090−8080−7070−6060−−5050−4040−30Boxes12345678986570

The correct option is C 60−50Modal class is the class which has the highest frequency.The highest frequency is 98 which is associated with the class 60−50Therefore, the modal class is 60−50

What is the modal class for the following table given below $?$
Fruits
$100 - 90$
$90 - 80$
$80 - 70$
$70 - 60$
$60 - - 50$
$50 - 40$
$40 - 30$
Boxes
$12$
$34$
$56$
$78$
$98$
$65$
$70$

The correct option is C $60 - 50$
Modal class is the class which has the highest frequency.

The highest frequency is $98$ which is associated with the class $60 - 50$
Therefore, the modal class is $60 - 50$