Greater and Less Than Cumulative Frequency Distribution

Q. Calculate the less than cumulative frequency of the last group for the given grouped frequency distribution.

Class intervals	Frequency
0-10	5
10-20	7
20-30	8
30-40	9

1. 5
2. 12
3. 20
4. 29

Q.

Construct a cumulative frequency distribution table from the frequency table given below. $\begin{array}{cccccc}\text{Class Interval}& 0-8& 8-16& 16-24& 24-32& 32-40\\ \text{Frequency}& 9& 13& 12& 7& 15\end{array}$

Q. What is the class interval and frequency of the 4th group for the following distribution table?

Marks Obtained	Less than 5	Less than 10	Less than 15	Less than 20	Less than 25
No. of Students (Cumulative)	4	6	10	13	17

1. Class interval: 20- 25 and Frequency: 13.
2. Class interval: 15- 20 and
   Frequency: 3.
3. Class interval: 21- 25 and
   Frequency : 13.
4. Class interval: 15- 19 and
   Frequency: 3.

Q. Marks of students are given the cumulative frequency distribution table given below.

Marks	Greater than cumulative frequency (No. of students)
1-10	42
11-20	36
20-30	23
30-40	14
40-50	6

What is the frequency of the 3rd group ?

1. 3
2. 9
3. 23
4. 13

Q. Weight of the students in a class is represented in a grouped frequency table.

Weight (Kg)	Frequency (No. of students)
30 - 40	10
40 - 50	7
50 - 60	12
60 - 70	15
70 - 80	9
80 - 90	3
90 - 100	1

What is the Greater than type cumulative frequency of group having 7 frequency?

1. 47
2. 17
3. 7
4. 25

Q. Which of the following is true regarding the cumulative frequency distribution?

1. Greater than cumulative frequency distribution represents lower boundaries of the classes
2. Greater than cumulative frequency distribution represents upper boundaries of the classes
3. Less than cumulative frequency distribution represents lower boundaries of the classes
4. Less than cumulative frequency distribution represents upper boundaries of the classes

Q.

Frequency	Less than Cumulative Frequency
3	p
10	q
6	r

Match the following.

1. 3
2. 13
3. 19

Q.

Class intervals	Frequency
10-20	7
20-30	6
30-40	9

Greater than cumulative frequency of 1st group is.

1. 15
2. 22
3. 9
4. \N

Q.

How do you find the cumulative relative frequency?

Q.

Weekly wages (in ₹ )	Number of workers
0 - 100	40
100-200	39
200-300	34
300-400	30
400-500	45

How many workers have wages under ₹300?

1. 40
2. 79
3. 113
4. 143

Q. Weight (in Kg) of the students of a class is represented in a grouped frequency distribution table.

Weight (Kg)	Frequency (No. of students)
30 - 40	20
40 - 50	5
50 - 60	16
60 - 70	22
70 - 80	19
80 - 90	13
90 - 100	10

What is the greater than type cumulative frequency of group having 16 frequency ?

1. 85
2. 80
3. 41
4. 25

Q. Weight (in Kg) of the students in a class is represented in a grouped frequency.

Weight (Kg)	Frequency (No. of students)
30 - 40	20
40 - 50	5
50 - 60	16
60 - 70	22
70 - 80	19
80 - 90	13
90 - 100	10

What is the less than type cumulative frequency of group having frequency equals to 13?

1. 13
2. 85
3. 95
4. 105

Q. Weight of the students in a class is represented in a grouped frequency.

Weight (Kg)	Frequency (No. of students)
50 - 60	25
60 - 70	21
70 - 80	11

What is the Greater than type cumulative frequency of group having 25 frequency ?

1. 25
2. 11
3. 57
4. 75

Q. What is the cumulative mark for the class interval $12-15$?

class interval	6-9	9-12	12-15	15-18	18-21
mark	2	4	6	8	10

1. $10$
2. $12$
3. $14$
4. $16$

Q. Types of cumulative frequencies are ______.

1. $1$
2. $4$
3. $3$
4. $2$

Q. The progressive sum of frequencies from the last class to the lower boundary of particular class is called __________.

1. Cumulative frequency
2. Greater than Cumulative Frequency
3. Less than cumulative frequency
4. Frequency

Q. The distribution that represents upper boundaries of the classes and their respective less than cumulative frequencies is called _________.

1. Greater than Cumulative Frequency Distribution
2. Less than Cumulative Frequency Distribution
3. Ungrouped Cumulative Frequency Distribution
4. Normal Distribution

Q. cumulative frequency of the fourth class.

1. $100$
2. $70$
3. $80$
4. $90$

Q.

What can be said about the profit of the company (from the following data) which sells tablets?

$$\begin{array}{cccccc}Month& January& February& March& April& May\\ No.oftabletssolds& 1100& 981& 645& 1234& 990\end{array}$$

1. The profit was maximum in April

2. The profit was maximum in March

3. The profit was same in January and April

4. Nothing can be said about the profit