Find the mode for the following data $:$
$X_{i}$ $20$ $30$ $40$ $50$ $60$ $70$ $80$ $90$
Frequency $0$ $1$ $1$ $0.5$ $0.75$ $0.15$ $1$ $0$

30

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40

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80

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All the above

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Solution

The correct option is D All the above
Mode for the discrete series is the variable which has the highest frequency.
From the given distribution table, the highest frequency is $1$ which is associated with the variables $30, 40$ and $80$
Therefore, the mode is $30, 40$ and $80$

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Similar questions

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

60

Class interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Frequency	$4$	$6$	$8$	$10$	$12$	$14$	$7$	$5$

:

X	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
F	$20$	$10$	$10$	$10$	$40$	$30$

Class	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80
frequency	5	8	7	12	28	20	10	10

Marks	No of Students
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100	4 9 14 25 18 6 2 1 1 0

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$X_{i}$	$20$	$30$	$40$	$50$	$60$	$70$	$80$	$90$
Frequency	$0$	$1$	$1$	$0.5$	$0.75$	$0.15$	$1$	$0$