Chapter 22 Tabular Representation of Statistical Data RD Sharma Solutions Exercise 22.2 Class 9 Maths
Chapter Name  RD Sharma Chapter 22 Tabular Representation of Statistical Data Exercise 22.2 
Book Name  RD Sharma Mathematics for Class 10 
Other Exercises 

Related Study  NCERT Solutions for Class 10 Maths 
Exercise 22.2 Solutions
1. Define cumulative frequency distribution.
Solution
Cumulative frequency distribution: A table which displays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequencies (or) cumulative frequencies distribution table.
2. Explain the difference between a frequency distribution and a cumulative frequency distribution.
Solution
Frequencies table or frequency distribution is a method to represent raw data in the form from which one can easily understand the information contained in a raw data , where as a table which plays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution.
3. The marks scored 55 students in a test are given below:
Marks 
0 – 5 
5 – 10 
10 – 15 
15 – 20 
20 – 25 
25 – 30 
30 – 35 
No. of students 
2 
6 
13 
17 
11 
4 
2 
Age (in years): 
10 – 20 
20 – 30 
30 – 40 
40 – 50 
50 – 60 
60 – 70 
No. of Patients : 
90 
50 
60 
80 
50 
30 
Maximum bill is Rs 95.
Range = Maximum bill  minimum bill
Given class in terval is 70  79, So class size
∴ Number of classes = Range/class size = 71/9 = 7.88
∴ Number of classes = 8
The cumulative frequency distribution table is as
Range = maximum B.S  Minimum B.S
Given class interval = 45  49. So class size
= 49  45 = 4
∴ Number of classes = Range/Class size = 29/4 = 7.25
⇒ Number of classes = 8.
The cumulative frequencies distribution is as
Weight (in kg) 
No. of students 
Below 25 
0 
Below 30 
24 
Below 35 
78 
Below 40 
183 
Below 45 
294 
Below 50 
408 
Below 55 
543 
Below 60 
621 
Below 65 
674 
Below 70 
685 
Consumption(in kW) 
No. of Factories 
Below 240 
1 
Below 270 
4 
Below 300 
8 
Below 360 
24 
Below 390 
38 
Below 420 
40 
Ace in years 
No. of persons 
Above 108 
0 
Above 96 
1 
Above 84 
3 
Above 72 
5 
Above 60 
20 
Above 48 
158 
Above 36 
427 
Above 24 
809 
Above 12 
1026 
Above 0 
1124 