Chapter 15 - Statistics

Exercise - 29

  1. The number of hour spent by a school boy on various activities on a working day are given below:
    Activity
    Sleep
    School
    Home work
    Play
    Others
    Number of Hours
    7
    8
    4
    3
    2
    Represent the above information by a pie-chart.
  • The following data shows the expenditure of person on different items during a month. Represent the data by a pie-chart:
    Item of Expenditure
    Rent
    Education
    Food
    Clothing
    Others
    Amount (in Rupees)
    2,700
    1,800
    2,400
    1,500
    2,400
  • The data about annual production of an Indian state is given below:
    Commodity
    Wheat
    Suger
    Rice
    Maize
    Grams
    Annual production (in tonnes)
    2750
    2500
    1500
    1000
    1250
    Draw a pie-chart to represent the above data.
  • The percentage of various categories of workers in a state are given in the following table. Represent the information in the form of a pie-chart.
    Category of Workers
    Cultivators
    Aoricutural Larbourers
    Industrial workers
    Commercial workers
    %
    40
    25
    20
    15
  • The following data relates to the cost of construction of a house in Delhi Represent the data in the form of a pie-chart.
    Items
    Cement
    Bricks
    Labour
    Timber
    Misc.
    Expence (in %)
    20
    10
    25
    15
    30
  • The pie-chart, as shown in the figure, represents the amount spent on different sports by a sports club in a year. If the total money spent by the club on sports is Rs. 1,08,000, find the amount spent on each sport.
  • Pie-chart in the given figure represents the number of votes polled by four candidates in an election. The votes polled by paramjit kaur were 160. Read the pie-chart and answer the following question:
    (i) What is the total number of votes polled?
    (ii) What is the maximum number of votes polled by a candidate?
    (iii) By how many votes did the winner defeat the nearest contestant.
  • The pie-chart along-side shows the monthly expenditure of a family. Read the pie-chart carefully and answer the following question:

    (i) What is the central angle for savings?
    (ii) What is the ratio of expenditure on food to that on rent?
    (iii) If the family spends Rs. 945 on clothing, then what is the total monthly income?
    (iv) What percentage of the total montly income does the family save?
    (v) What is the difference in rupees on amount spend on food and clothing?
  • Total expenditure was Rs. 5,40,000. Pie diagram is given below:
    Find the expenditure in the following sectors
    whose central angles are given:
    (i) Power and irrigation (1000)
    (ii) Communication (700)
    (iii) Agriculture (1400)
    (iv) Chemical industries (350)
    (v) Miscellaneous (150)
  • The given pie-chart represents the number of valid votes obtained by 4 students who contested for school leadership. The total number of valid votes polled was 720. Read the pie-chart and answer the following questions;

    (i) Who has won the election
    (ii) What is the minimum number of votes obtained by any candidate?
    (iii) By how many votes did the winner defeat the nearest constestant?
    (iv) What percentage of valid voles polled was obtained by the winning candidate?
  • The adjoining pie-chart shows the number of students of a school using different modes of travel to school. If 360 students come to school on bicycle, answer the question given below:

    (i) How many students are there in the school?
    (ii) How many students come to the school by school bus?
    (iii) How many students travel by taxi to reach the school?
    (iv) What is the ratio of students coming by school bus to those who come on foot?
  • Answers

    1.

    2.

    3.

    4.

    5.

    6. Hockey = Rs. 30,000, Cricket = Rs. 45,000, Foot ball = Rs. 18,000,  Tennis = Rs. 15,000

    7. 720 votes, 120 votes, 40 votes

    8. 600, 7 : 6, Rs. 9,720; Rs. 1,890

    9. Rs. 1,50,000; Rs. 1,05,000; Rs. 2, 10,000; Rs. 52,500; Rs. 22,500

    10. Shanti; 120(Reena); 40votes;

    11. 900; 280; 120; 2 : 1

     

    Maths by Mr. M. P. Keshari
    Subjects Maths (Part-1) by Mr. M. P. Keshari
    Chapter 9 Circle
    Chapter 10 Tangents to a circle
    Chapter 11 Geometrical Construction
    Chapter 12 Troigonometry
    Chapter 13 Height and Distance
    Chapter 14 Mensuration
    Chapter 15 Statistics
    Chapter 16 Probability
    Chapter 17 Co-ordinate Geometry