RD Sharma Solutions Class 9 Maths Chapter 23 Graphical Representation of Statistical Data

RD Sharma Solutions Class 9 Maths Chapter 23: RD Sharma Solutions for Class 9 Maths Chapter 23, Graphical Representation of Statistical Data, provides comprehensive guidance on representing statistical data graphically.

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RD Sharma Solutions Class 9 Maths Chapter 23 Graphical Representation of Statistical Data PDF

RD Sharma Solutions Class 9 Maths Chapter 23 PDF

RD Sharma Solutions Class 9 Maths Chapter 23 Graphical Representation of Statistical Data

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RD Sharma Solutions Class 9 Maths Chapter 23 Graphical Representation of Statistical Data Exercise 23.1 Page No: 23.7

Question 1: The following table shows the daily production of T.V. sets in an industry for 7 days of a week.

Represent the above information by a pictograph.

Solution:

Question 2: The following table shows the number of Maruti cars sold by five dealers in a particular month:

Represent the above information by a pictograph.

Solution:

Question 3: The population of Delhi State in different census years is as given below:

Represent the above information with the help of a bar graph.

Solutions:

Question 4: Read the bar graph shown below and answer the following questions:

(i) What is the information given by the bar graph?

(ii) How many tickets from Assam State Lottery were sold by the agent?

(iii) Of which state was the maximum number of tickets sold?

(iv) State whether true or false.

The maximum number of tickets sold is three times the minimum number of tickets sold.

(v) Of which state was the minimum number of tickets sold?

Solution:

Question 5: Study the bar graph representing the number of persons in various age groups in a town shown in the figure. Observe the bar graph and answer the following questions:

(i) What is the percentage of the youngest age-group persons over those in the oldest age group?

(ii) What is the total population of the town?

(iii) What is the number of persons in the age-group 60-65?

(iv) How many persons are more in the age-group 10-15 than in the age group 30-35?

(v) What is the age-group of exactly 1200 persons living in the town?

(vi) What is the total number of persons living in the town in the age-group 50-55?

(vii) What is the total number of persons living in the town in the age-groups 10-15 and 60-65?

(vii) Whether the population in general increases, decreases or remains constant with the increase in the age-group.

Solution:

RD Sharma Solutions Class 9 Maths Chapter 23 Graphical Representation of Statistical Data Exercise 23.2 Page No: 23.23

Question 1: Explain the reading and interpretation of bar graphs.

Solution: A bar graph consists of a sequence of vertical or horizontal bar lines or rectangles. Bar lines may be either horizontal or vertical. We can easily collect the information and conclude various observations from a given bar graph which is referred to as the interpretation of the bar graph.

Question 2: Read the following bar graph and answer the following questions:

(i) What information is given by the bar graph?

(ii) In which year is the export minimum?

(iii) In which year is the import maximum?

(iv) In which year the difference between the values of export and import is maximum?

Solution:

(i) The bar graph represents the import and export (in 100 Crores of rupees) from 1982-83 to 1986-87.

(ii) 1982-83

(iii) 1986-87

(iv) 1986-87

Question 3: The following bar graph shows the results of an annual examination in a secondary school. Read the bar graph given below, and choose the correct alternative in each of the following:

(i)The pair of classes in which the results of boys and girls are inversely proportional are:

(a) VI, VIII (b) VI, IX (c) VII, IX (d) VIII, X

(ii) The class having the lowest failure rate of girls is:

(a) VI (b) X (c) IX (d) VIII

(iii) The class having the lowest pass rate of students is:

(a) VI (b) VII (c) VIII (d) IX

Solution:

(i) Option (b) is correct.

(ii) Option (a) is correct.

(iii) Option (b) is correct.

Question 4: The following data gives the number (in thousands) of applicants registered with an Employment Exchange during 1995-2000:

Construct a bar graph to represent the above data.

Solution:

Question 5: The production of saleable steel in some of the steel plants of our country during 1999 is given below:

Construct a bar graph to represent the above data on a graph paper by using the scale 1 big division = 20 thousand tonnes.

Solution :

Question 6: The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:

Represent the above data with the help of a bar graph.

Solution:

RD Sharma Solutions Class 9 Maths Chapter 23 Graphical Representation of Statistical Data Exercise 23.3 Page No: 23.41

Question 1: Construct a histogram for the following data:

Solution:

Question 2: The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.

Solution:

Question 3: The time taken in seconds to solve a problem by each of 25 pupils is as follows:

16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20

(a) Construct a frequency distribution for these data using a class interval of 10 seconds.

(b) Draw a histogram to represent the frequency distribution.

Solution:

(a) Frequency distribution for the given data, using a class interval of 10 seconds.

(b)

Question 4: Draw, in the same diagram, a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years:

Solution: