# RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data

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## RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.1

**The given information can be represented through a pictograph as follows:**

**The given information can be represent through a pictograph as follows: **

**To represent the data by a bar graph, draw horizontal and vertical axes. Mark census year on the horizontal axis and the population on the vertical axis.**

**(i) The given bar graph represents the number of tickets of different state lotteries sold by an agent on a day. **** (ii) The number of tickets of Assam state lottery sold by the agent is 40.**** (iii) Haryana**** (iv) The minimum number of tickets sold = 20**** The maximum number of tickets sold = 100**** **** So, the given statement is false. **** (v) Rajasthan**

**(i) It gives information regarding rice and wheat production in various states of India. **

(ii) W.B is the largest produer of rice.

(iii) U.P is the largest producer of wheat.

(iv) The total production of rice and wheat is maximum in U.P.

(v) The total production of rice and wheat is minimum in Maharashtra.

**(i) Total number of newspapers published in Hindi, English, Urdu, Punjabi and Bengali = 3700 + 3400 + 700 + 200 + 1100 = 9100.**** (ii) The number of newspapers published in Hindi = 3700. **** Total numbers of newspapers are published = 700 + 400 + 1000 + 200 + 1400 + 1400 + 3700 + 1100 + 3400 + 1100 = 14400**** The percentage of Hindi newspapers = **** **

**= 25.69**

**= 25.7% (approx)**

** (iii) The excess of the number of newspapers published in English over those published in Urdu = 3400 700**** = 2700. **** (iv) Bengali, Gujrati and Marathi, Malayalam are the two pairs of languages which publish the same number of newspapers. **** (v) Punjabi is the language in which the smallest number of newspapers are published. **** (vi) Hindi is the language in which the largest number of newspapers are published. **** (vii) English is the language in which the number of newspapers published in between 2500 and 3500. **** (viii) **** (a) Total number of newspapers published in Malayalam and Marathi = 1400 + 1400 = 2800**** Number of newspapers published in English = 3400. **** The number of newspapers published in Malayalam and Marathi together is less than those published in English. **** So, the given statement is true.**

**(b) Number of newspapers published in Telgu = 400**

**Number of newspapers published in Tamil = 1000**

** The number of newspapers published in Telgu is less than those published in Tamil. **

**So, the given statement is false.**

**(i) It gives information regarding the production of rice crop in India in different years. ****(ii) The crop-production of rice in 1970-71 = 42.5 lakh tonnes. ****(iii) The difference between the maximum and minimum production of rice = 55 - 22 = 33 lakh tonnes.**

**(i) It gives the information about the public expenditure on education by various state subcontinents. ****(ii) In Africa the expenditure on edcation is maximum in 1980.****(iii) In East Africa the expenditure has gone by from 1980 to 1990.****(iv) In Africa the gap between 1980 and 1990 is maximum.**

## RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.2

**The first step in reading a bar graph is to know what it represents or what is the information given by it. For this, we read the captions which are generally written just below the horizontal line (x-axis) and adjacent to vertical line (y-axis). After knowing that what does a bar graph represent, we read the scale so that we can know the precise values in the given data.**** After reading a bar graph one must be able to draw certain condusions from it. Drawing some condusions from a given bar graph means interpretation of the bar graph.**

**(i) (b) VI, IX****(ii) (a) VII****(iii) (b) VII**

**(i) Bar graph for the given data is as follows:**

**(ii) In 1995, the amount of loan is not increased over that of the preceeding year.**

**(i)****(ii) It is seen that the height of bar corresponding to year 1994 is the highest. Hence, the amount of manure manufactured by the company was maximum in 1994.****(iii) It is seen that the manure production decreased in the year 1995 and 1997.**

**The bar graph of the given bata:The course where estimated requirement is least is DCE**

**The bar graph of the given data:****In 1986-87 the rate of increases in exports is maximum over the precending year.**

**It is seen from the graph that the quantity of goods carried in the years 1950-51 and 1965-66 are 20 crores tones and 9 crores tones. Clearly 20 is more than twice of 9. Hence, the statement is true.**

## RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.3

**The following table is useful to make the frequency polygon:**

Class Intervals |
Class Limits |
Frequency |

55.5 62.5 |
59 |
0 |

62.5 69.5 |
66 |
1 |

69.5 76.5 |
73 |
3 |

76.5 83.5 |
80 |
5 |

83.5 90.5 |
87 |
15 |

90.5 97.5 |
94 |
12 |

97.5 104.5 |
101 |
10 |

104.5 111.5 |
108 |
6 |

111.5 118.5 |
115 |
4 |

118.5 125.5 |
122 |
3 |

125.5 132.5 |
129 |
1 |

132.5 139.5 |
136 |
0 |

## RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.42

Bar graphs, Histogram, Frequency polygon are methods of graphical representation of statistical data.

A Bar graph is a pictorial representation of the numerical Data. while Histogram is a graphical representation

of a Frequency distribution in the form of rectangles.

A Frequency polygon of a given Frequency distribution is another method of representing frequency distribution graphically.

But a cumulative frequency distribution is a table in which cumulative frequencies are distributed over various classes.

Thus, Cumulative frequency distribution is not a method of graphical representation.

Hence, correct option is (d).

A curve that Represents the cumulative Frequency distribution of grouped data is called an ogive or cumulative frequency curve.

Hence, correct option is (c)

A Frequency Polygon is drawn by joining the mid-points of first and last class intervals to the mid-points of the imagined classes adjacent to them.

Hence, correct option is (c).

## RD Sharma Solution for Class 9 Mathematics Chapter 23 - Graphical Representation of Statistical Data Page/Excercise 23.43

In a Histogram, the area of each rectangle is proportional to the Frequency of the corresponding class-interval.

Hence, correct option is (c).

In a less than type ogive, the cumulative frequency is plotted against the upper limit of the concerned class interval.

Hence, correct option is (b).

In a Histogram, the class-intervals are represented or taken along X-axis, and frequency on Y-axis.

Hence, correct option is (b).

In a Histogram, the class-intervals are represented or taken along Horizontal axis (X-axis) and frequency on Vertical axis (Y-axis).

Hence, correct option is (d).

In a Histogram, each class rectangle is constructed with base as (a - b) i.e. a class intervals from a to b ..... b to c etc.

Hence, correct option is (b).

## R. D. Sharma Mathematics IX Class 9 Chapter Solutions

- Chapter 1 - Number Systems
- Chapter 2 - Exponents of Real Numbers
- Chapter 3 - Rationalisation
- Chapter 4 - Algebraic Identities
- Chapter 5 - Factorisation of Algebraic Expressions
- Chapter 6 - Factorisation of Polynomials
- Chapter 7 - Linear Equations in Two Variables
- Chapter 8 - Co-ordinate Geometry
- Chapter 9 - Introduction to Euclid's Geometry
- Chapter 10 - Lines and Angles
- Chapter 11 - Triangle and its Angles
- Chapter 12 - Congruent Triangles
- Chapter 13 - Quadrilaterals
- Chapter 14 - Areas of Parallelograms and Triangles
- Chapter 15 - Circles
- Chapter 16 - Constructions
- Chapter 17 - Heron's Formula
- Chapter 18 - Surface Areas and Volume of a Cuboid and Cube
- Chapter 19 - Surface Areas and Volume of a Circular Cylinder
- Chapter 20 - Surface Areas and Volume of A Right Circular Cone
- Chapter 21 - Surface Areas and Volume of a Sphere
- Chapter 22 - Tabular Representation of Statistical Data
- Chapter 23 - Graphical Representation of Statistical Data
- Chapter 24 - Measures of Central Tendency
- Chapter 25 - Probability

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