Change the following into continuous series and convert the series into 'less than' and 'more than' cumulative series :

Marks (mid-values) 5 15 25 35 45 55

No.of students 8 12 15 9 4 2

Open in App

Solution

Mid Value Class Interval Number of Students
(f)

5
15
25
35
45
55 0 − 10
10 − 20
20 − 30
30 − 40
40 − 50
50 − 60 8
12
15
9
4
2

Ʃf = 50

Cumulative Series

Less Than More Than

Marks Number of Students Marks Number of Students

Less than 10
Less than 20
Less than 30
Less than 40
Less than 50
Less than 60 8
8 + 12 = 20
20 + 15 = 35
35 + 9 = 44
44 + 4 = 48
48 + 2 = 50 More than 0
More than 10
More than 20
More than 30
More than 40
More than 50 50
50 − 8 = 42
42 − 12 = 30
30 − 15 = 15
15 − 9 = 6
6 − 4 = 2

Suggest Corrections

Similar questions

Convert the following 'less than' cumulative frequency series into 'more than' cumulative frequency series:

$\begin{matrix} Marks less than & 5 & 10 & 15 & 20 Cumulative Frequency & 12 & 25 & 35 & 55 \end{matrix}$

Q. Convert the following cumulative frequency series into simple frequency series

Marks	No. of Students
Less than 20	10
Less than 40	18
Less than 60	25
Less than 80	45
Less than 100	55

Q. Convert the following table into more than cumulative frequency table.

score	2-4	4-6	6-8	8-10	10-12	12-14
students	12	10	15	14	16	22

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. Convert the following 'more than' cumulative frequency distribution into a 'less than' cumulative frequency distribution

Class-Interval (More than)	10	20	30	40	50	60	70	80
Frequency	124	119	107	84	55	31	12	2

Join BYJU'S Learning Program

Less Than		More Than
Marks	Number of Students	Marks	Number of Students
Less than 10 Less than 20 Less than 30 Less than 40 Less than 50 Less than 60	8 8 + 12 = 20 20 + 15 = 35 35 + 9 = 44 44 + 4 = 48 48 + 2 = 50	More than 0 More than 10 More than 20 More than 30 More than 40 More than 50	50 50 − 8 = 42 42 − 12 = 30 30 − 15 = 15 15 − 9 = 6 6 − 4 = 2

Mid Value	Class Interval	Number of Students (f)
5 15 25 35 45 55	0 − 10 10 − 20 20 − 30 30 − 40 40 − 50 50 − 60	8 12 15 9 4 2
		Ʃf = 50

Change the following into continuous series and convert the series into 'less than' and 'more than' cumulative series : Marks (mid-values) 5 15 25 35 45 55 No.of students 8 12 15 9 4 2

Change the following into continuous series and convert the series into 'less than' and 'more than' cumulative series :

Marks (mid-values) 5 15 25 35 45 55

No.of students 8 12 15 9 4 2