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Mode of Continuous Series

classes 0-...

Question

classes 0-5 5-10 10-15 15-20 20-25 frequency 10 15 12 20 9 Find the sum of lower limit of the median class and modal class

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Solution

Dear student

classes Frequency(f) Cumulative frequency(cf)

0-5 10 10

5-10 15 25

10-15 12 37

15-20 20 57

20-25 9 66

$N = \sum_{} f_{i} = 66$

$H e r e N = 66 t h e r e f o r e, \frac{N}{2} = \frac{66}{2} = 33 S o, t h e m e d i a n c l a s s i s 10 - 15 L o w e r l i m i t o f m e d i a n c l a s s i s 10 M o d a l c l a s s i s 15 - 20 L o w e r l i m i t o f t h e m o d a l c l a s s i s 15 T h u s, t h e s u m o f l o w e r l i m i t o f m e d i a n c l a s s a n d m o d a l c l a s s = (10 + 15) = 25$
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Q. For the following distribution:

Class	0-5	5-10	10-15	15-20	20-25
Frequency	10	15	12	20	9

The sum of the lower limits of the median class and the modal class is
(a) 15
(b) 25
(c) 30
(d) 35

Q. For the following distribution :

Class: 0-5 5-10 10-15 15-20 20-25

Frequency: 10 15 12 20 9

the sum of the lower limits of the median and modal class is
(a) 15 (b) 25 (c) 30 (d) 35

Q. Question 6
For the following distribution,

\begin{matrix} C l a s s & 0 - 5 & 5 - 10 & 10 - 15 & 15 - 20 & 20 - 25 F r e q u e n c y & 10 & 15 & 12 & 20 & 9 \end{matrix}

the sum of lower limits of the median class and modal class is
(a) 15
(b) 25
(c) 30
(d) 35

Q. The lower limit of the modal class of the following data is:

Class interval	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$	$25 - 30$	$30 - 35$
Frequency	$5$	$15$	$6$	$10$	$14$	$9$

Q. Find the mode of

Class	$0 - 5$	$5 - 10$	$10 - 15$	$15 - 20$	$20 - 25$
Frequency	$2$	$3$	$10$	$1$	$4$

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