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# Class 9 RD SHARMA Solutions Maths Chapter 23 - Graphical Representation of Statistical Data

## Graphical Representation of Statistical Data Exercise Ex. 23.1

### Solution 1

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

### Solution 2

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

### Solution 3

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.

### Solution 4

(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

### Solution 9

(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.

### Solution 13

(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.

### Solution 14

(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.

## Graphical Representation of Statistical Data Exercise Ex. 23.2

### Solution 1

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

### Solution 7

(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.

### Solution 11

(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.

### Solution 12

The bar graph of the given bata:

The course where estimated requirement is least is DCE

### Solution 15

The bar graph of the given data:

In 1986-87 the rate of increases in exports is maximum over the precending year.

### Solution 16

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.

## Graphical Representation of Statistical Data Exercise 23.42

### Solution 1

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).

### Solution 2

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

Hence, correct option is (c)

### Solution 3

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).

## Graphical Representation of Statistical Data Exercise 23.43

### Solution 4

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

Hence, correct option is (c).

### Solution 5

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).

### Solution 6

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

Hence, correct option is (b).

### Solution 7

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).

### Solution 8

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).