# Frequency Distribution Class-9 RS Aggarwal ICSE Maths Goyal Brothers

**Frequency Distribution Class-9 RS** Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-15. We provide step by step Solutions of Exercise / lesson-15 **Frequency Distribution **( Statistics )for ICSE** Class-9 RS** Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-15 to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

Board | ICSE |

Publications | Goyal brothers Prakshan |

Subject | Maths |

Class | 9th |

Chapter-15 | Frequency Distribution |

Writer | RS Aggrawal |

Book Name | Foundation |

Topics | Solution of Exe-15, to develop skill and confidence |

Academic Session | 2021-2022 |

**Frequency Distribution Class-9 RS** Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-15 (Statistics)

– : Select Topics : –

**Notes on Frequency Distribution**

**Notes on Frequency Distribution**

A frequency distribution is a tabular arrangement of data whereby the data is grouped into different intervals, and then the number of observations that belong to each interval is determined. Data that is presented in this manner are known as grouped data.

**Data**

- Facts /figures numerical or otherwise collected for a definite purpose is called as data.
- data collected first-hand data:- Primary
- Secondary data: Data collected from a source that already had data stored

**Frequency**

– The number of times a particular instance occurs is called frequency in statistics

**Ungrouped data**

Ungrouped data is data in its original or raw form. The observations are not classified in groups.

**Grouped data**

In grouped data, observations are organized in groups

**Class Interval**

- The size of the class into which a particular data is divided.
- divisions on a histogram or bar graph.
**Class width**= upper class limit – lower class limit

**Regular and Irregular class interval**

- Regular class interval: When the class intervals are equal or of the same sizes.
- E.g 0-10, 10-20, …………
- Irregular class interval: When the class intervals are of varying sizes.
- E.g 0-15, 15-45, 45-75, ……….

**Ungrouped frequency table**

– When the frequency of each class interval is not arranged or organised in any manner.

**Grouped frequency table**

– The frequencies of the corresponding class intervals are organised or arranged in a particular manner, either ascending or descending.

**Frequency table**

– A frequency table or distribution shows the occurrence of a particular variable in a tabular form.

**lower class limit**

The smallest value that can belong to a given interval is called the lower class limit,

#### upper class limit.

the largest value that can belong to the interval is called the upper class limit.

#### class width

The difference between the upper class limit and the lower class limit is defined to be the class width.

#### cumulative frequency

The cumulative frequency distribution is obtained by computing the cumulative frequency, defined as the total frequency of all values less than the upper class limit of a particular interval, for all intervals. From a frequency distribution, this can be done by simply adding together the frequencies of the interval and all other preceding intervals

**Exe-15 ****Frequency Distribution Class-9 RS** Aggarwal ICSE Maths Goyal Brothers Prakashan Chapter-15 (Statistics)

Page 188-190

Question 1:

Define statistics as a subject.

Answer :

It is a science which dals with the collection, presentations, analysis and interpretation of numerical data.

Question 2:

What are the primary data and ……………………………. and why?

Answer :

**(i) Primary data : **The data collected by the investigator himself with a definite plan in mind are known as primary data.

**(ii) Secondary data : **The data collected by someone, other than the investigator are known as secondry data.

Question 3:

Fill in the blanks :

(i)……………..

(ii)……………..

(iii)……………..

(iv)……………..

(v)……………..

(vi)……………..

(vii)……………..

Answer :

(i) Range

(ii) Frequency

(iii) class – mark

(iv) 24

(v) 20

(vi) (20 + 30) /2 = 50/2 = 25

(vii) 29/2 = 14.5

Question 4:

Find the range of data :

(i)……..

(ii)……..

Answer :

(i) Highest value = 21

minimum value = 11

so range is 21 – 5 = 16

(ii)

Highest value = 19

minimum value = 11

so range is 19 – 5 = 8

Question 5:

The class size ……………………… intervals.

Answer :

Class – size = 34 – 28 = 6

first class interval will be 25 – 31

similar other class interval will be

31 – 37, 37 – 43, 43 – 49, and 49 – 55 .

Question 6:

State which of the following …………………….. are discrete:

(i)……………..

(ii)……………..

(iii)……………..

(iv)……………..

(v)……………..

(vi)……………..

(vii)……………..

(viii) …………….

(ix) ……………

Answer :

(i) Discrete

(ii) continuous

(iii) continuous

(iv) continuous

(v) continuous

(vi) continuous

(vii) continuous

(viii) Discrete

(ix) Discrete

Question 7:

Define the following term :

(i) Variable :

(ii)Class Interval

(iii) Class- size

(iv) Class-mark

(v) Class-limits

(vi) True class-limits

(vii) Frequency of a class

(viii) Cumulative frequency of class

Answer :

**(i) Variable :** A quantity which can take different value is called a variable.

(ii)** Class Interval :** Data can be grouped into class intervals such that all observations in that range belong to that class.

Class width = upper class limit – lower class limit

**(iii) Class- size** : The difference of true upper limits and true lover limit is called class size

(**iv) Class-mark** : 1/2 (lower + upper limit ) is called class marks.

**(v) Class-limits :** Each class interval is bounded by two figure, called limits.

**(vi) True class-limits :** Is continuous interval, the limits of the class is called true class limits.

**(vii) Frequency of a class :** The number of times an observation in a class, occurs is called its frequency.,

**(viii) Cumulative frequency of class** : The sum of the frequency of all the previous classes and that particular class, is called cumulative frequency of the class.

Question 9:

The marks obtained by ……………………….. (15 not included).

…………………

Question 10:

Construct a ………………… is not included……………………..

Question 11:

……………………..

……………………….

…………………………..

Question 16:

Construct a ………………….. following data :

……………………….

Question 17:

Convert the following …………………….. exclusive form :

…………………….

…………………….

…………………….

–: End of **Frequency Distribution Class-9 RS** Aggarwal Solutions :–

Return to – **RS Aggarwal Solutions for ICSE Class-9 Goyal Brothers Prakashan**

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