# Selina solutions for Concise Mathematics Class 9 ICSE chapter 18 - Statistics [Latest edition]

#### Chapters ## Chapter 18: Statistics

Exercise 18 (A)Exercise 18 (B)
Exercise 18 (A) [Pages 227 - 228]

### Selina solutions for Concise Mathematics Class 9 ICSE Chapter 18 Statistics Exercise 18 (A) [Pages 227 - 228]

Exercise 18 (A) | Q 1.1 | Page 227

State, the following variable is continuous or discrete:
number of children in your class.

• Continuous variable.

• Discrete variable.

Exercise 18 (A) | Q 1.2 | Page 227

State, the following variable is continuous or discrete:
Distance travelled by car.

• Continuous variable.

• Discrete variable.

Exercise 18 (A) | Q 1.3 | Page 227

State, the following variable is continuous or discrete:
Sizes of shoes.

• Continuous variable.

• Discrete variable.

Exercise 18 (A) | Q 1.4 | Page 227

State, the following variable is continuous or discrete: Time.

• Continuous variable.

• Discrete variable.

Exercise 18 (A) | Q 1.5 | Page 227

State, the following variable is continuous or discrete: Number of patients in a hospital.

• Continuous variable.

• Discrete variable.

Exercise 18 (A) | Q 2 | Page 227

Given below are the marks obtained by 30 students in an examination:

 08 17 33 41 47 23 20 34 09 18 42 14 30 19 29 11 36 48 40 24 22 02 16 21 15 32 47 44 33 01

Taking class intervals 1 - 10, 11 - 20, ....., 41 - 50;
make a frequency table for the above distribution.

Exercise 18 (A) | Q 3 | Page 227

The marks of 24 candidates in the subject mathematics are given below:

 45 48 15 23 30 35 40 11 29 0 3 12 48 50 18 30 15 30 11 42 23 2 3 44

The maximum marks are 50. Make a frequency distribution taking class intervals 0 - 10, 10-20, .......

Exercise 18 (A) | Q 4.1 | Page 227

Fill in the blank :
A quantity which can very from one individual to another is called a .............

Exercise 18 (A) | Q 4.2 | Page 227

Fill in the blank :
Sizes of shoes are ........... variables.

Exercise 18 (A) | Q 4.3 | Page 227

Fill in the blank :
Daily temperatures is ........... variable.

Exercise 18 (A) | Q 4.4 | Page 227

Fill in the blank :
The range of data 7, 13, 6, 25, 18, 20, 16 is ............

Exercise 18 (A) | Q 4.5 | Page 227

Fill in the blank :
In the class interval 35 - 46; the lower limit is .......... and the upper limit is .........

Exercise 18 (A) | Q 4.6 | Page 227

Fill in the blank :
The class mark of class interval 22 - 29 is ...........

Exercise 18 (A) | Q 5 | Page 228

Find the actual lower class limits, upper-class limits and the mid-values of the classes:
10 - 19, 20 - 29, 30 - 39 and 40 - 49.

Exercise 18 (A) | Q 6 | Page 228

Find the actual lower and upper-class limits and also the class marks of the classes:
1.1 - 2.0, 2.1 -3.0 and 3.1 - 4.0.

Exercise 18 (A) | Q 7 | Page 228

Use the table given below to find:
(a) The actual class limits of the fourth class.
(b) The class boundaries of the sixth class.
(c) The class mark of the third class.
(d) The upper and lower limits of the fifth class.
(e) The size of the third class.

 Class Interval Frequency 30 - 34 7 35 - 39 10 40 - 44 12 45 - 49 13 50 - 54 8 55 - 59 4
Exercise 18 (A) | Q 8.1 | Page 228

Construct a cumulative frequency distribution table from the frequency table given below:

 Class Interval Frequency 0 -8 9 8 - 16 13 16 - 24 12 24 - 32 7 32 - 40 15
Exercise 18 (A) | Q 8.2 | Page 228

Construct a cumulative frequency distribution table from the frequency table given below:

 Class Interval Frequency 1 - 10 12 11 - 20 18 21 - 30 23 31 - 40 15 41 - 50 10
Exercise 18 (A) | Q 9.1 | Page 228

Construct a frequency distribution table from the following cumulative frequency distribution:

 Class Interval Cumulative Frequency 10 - 19 8 20 - 29 19 30- 39 23 40- 49 30
Exercise 18 (A) | Q 9.2 | Page 228

Construct a frequency distribution table from the following cumulative frequency distribution:

 C.I C.F 5 - 10 18 10 - 15 30 15 - 20 46 20 - 25 73 25 - 30 90
Exercise 18 (A) | Q 10 | Page 228

Construct a frequency table from the following data:

 Marks No. of students less than 10 6 less than 20 15 less than 30 30 less than 40 39 less than 50 53 less than 60 70
Exercise 18 (A) | Q 11 | Page 228

Construct the frequency distribution table from the following cumulative frequency table:

 Ages No. of students Below 4 0 Below 7 85 Below 10 140 Below 13 243 Below 16 300

(i) State the number of students in the age group 10 - 13.
(ii) State the age-group which has the least number of students.

Exercise 18 (A) | Q 12 | Page 228

Fill in the blank in the following table:

 Class interval Frequency Cumulative Frequency 25 - 34 ...... 15 35 - 44 ...... 28 45 - 54 21 ...... 55 - 64 16 ...... 65 - 74 ...... 73 75 - 84 12 ......
Exercise 18 (A) | Q 13 | Page 228

The value of π up to 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?

Exercise 18 (B) [Page 233]

### Selina solutions for Concise Mathematics Class 9 ICSE Chapter 18 Statistics Exercise 18 (B) [Page 233]

Exercise 18 (B) | Q 1 | Page 233

Construct a frequency polygon for the following distribution:

 Class-intervals 0-4 4 - 8 8 - 12 12 - 16 16 - 20 20 - 24 Frequency 4 7 10 15 11 6
Exercise 18 (B) | Q 2 | Page 233

Construct a combined histogram and frequency polygon for the following frequency distribution:

 Class-Intervals 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 Frequency 3 5 6 4 2
Exercise 18 (B) | Q 3 | Page 233

Construct a frequency polygon for the following data:

 Class-Intervals 10 - 14 15 - 19 20 - 24 25 - 29 30 - 34 Frequency 5 8 12 9 4
Exercise 18 (B) | Q 4 | Page 233

The daily wages in a factory are distributed as follows:

 Daily wages (in Rs.) 125 - 175 175 - 225 225 - 275 275 - 325 325 - 375 Number of workers 4 20 22 10 6

Draw a frequency polygon for this distribution.

Exercise 18 (B) | Q 5.1 | Page 233

Draw frequency polygons for each of the following frequency distribution:

(a) using histogram

(b) without using histogram

 C.I 10 - 30 30 - 50 50 - 70 70 - 90 90 - 110 110 - 130 130 - 150 ƒ 4 7 5 9 5 6 4
Exercise 18 (B) | Q 5.2 | Page 233

Draw frequency polygons for each of the following frequency distribution:
(a) using histogram
(b) without using histogram

 C.I 5 -15 15 -25 25 -35 35 - 45 45-55 55-65 ƒ 8 16 18 14 8 2

## Chapter 18: Statistics

Exercise 18 (A)Exercise 18 (B) ## Selina solutions for Concise Mathematics Class 9 ICSE chapter 18 - Statistics

Selina solutions for Concise Mathematics Class 9 ICSE chapter 18 (Statistics) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CISCE Concise Mathematics Class 9 ICSE solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Concise Mathematics Class 9 ICSE chapter 18 Statistics are Variable, Tabulation of Data, Frequency, Frequency Distribution Table, Class Intervals and Class Limits, Cumulative Frequency Table, Graphical Representation of Data, Concepts of Statistics, Frequency Distribution Table, Graphical Representation of Continuous Frequency Distribution.

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