NCERT Class 9 Solutions: Statistics (Chapter 14) Exercise 14.3-Part 1

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Q-1 A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 − 44 (in years) worldwide, found the following figures (in %):

Cause of illness and death among women
Table describing the various causes of illness and fatality rates

S. No.

Causes

Female fatality rate (%)

1.

Reproductive health conditions

31.8

2.

Neuropsychiatric conditions

25.4

3.

Injuries

12.4

4.

Cardiovascular Conditions

4.3

5.

Respiratory condition

4.1

6.

Other causes

22.0

  1. Represent the information given above graphically.

  2. Which condition is the major cause of women’s ill health and death worldwide?

  3. Try to find out, with the help of your teacher, any two factors which play a major role in the cause in (ii) above being the major cause.

Solution (i):

Let us,

  • Represent cause on x-axis and fatality on y-axis

  • Choose appropriate scale let us choose ( 1unit=5%foryaxis ).

  • With these specifications following graph can be drawn.

{"chart":{"plotBackgroundColor":null,"plotShadow":true,"backgroundColor":"transparent","width":600},"title":{"text":"Causes Vs Female fatality rate"},"tooltip":{"pointFormat":"{series.name}: {point.y}"},"credits":{"enabled":false},"xAxis":{"categories":["Reproductive health conditions","Neuropsychiatric conditions","Injuries","Cardiovascular Conditions","Respiratory condition","Other causes"],"title":{"text":"Causes"}},"yAxis":{"type":"linear","title":{"text":"Female fatality rate (%)"}},"plotOptions":{"series":{"allowPointSelect":true,"cursor":"pointer"}},"legend":{"floating":false,"backgroundColor":"white","borderColor":"silver","borderWidth":1,"shadow":true,"align":"right"},"series":[{"type":"column","name":"Causes Vs Female fatality rate (%)","data":[31.8,25.4,12.4,4.3,4.1,22],"colors":[{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#7cb5ec"],[1,"rgb(48,105,160)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#434348"],[1,"rgb(0,0,0)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#90ed7d"],[1,"rgb(68,161,49)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f7a35c"],[1,"rgb(171,87,16)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#8085e9"],[1,"rgb(52,57,157)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f15c80"],[1,"rgb(165,16,52)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#e4d354"],[1,"rgb(152,135,8)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#2b908f"],[1,"rgb(0,68,67)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f45b5b"],[1,"rgb(168,15,15)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#91e8e1"],[1,"rgb(69,156,149)"]]}],"_colorIndex":0}]}
Created with Highcharts 4.2.5CausesFemale fatality rate (%)Causes Vs Female fatality rateCauses Vs Female fatality rate (%)ReproductivehealthconditionsReproductive health conditionsNeuropsychia…Neuropsychiatric conditionsInjuriesCardiovascularConditionsCardiovascular ConditionsRespiratoryconditionRespiratory conditionOther causes010203040Reproductive health conditionsCauses Vs Female fatality rate (%): 31.8

Solution (ii):

  • Reproductive health conditions are the major cause of women’s ill health and death worldwide and 31.8% of women are affected by it.

Solution (iii)

It is unfortunate that in 21st centuary we still are not able to bring the health of women at par with men. With all the medial developments at disposal to our age, women still suffer the brunt of health problems only because they are biologically responsible for child birth. Some important factors are:

  • Lack of medical facilities, especially in remote and backward areas.

  • Lack of education among the rural poor, this ignorance forces them to still use age old methods of treatments.

  • Unequal social status of women, which leads to improper care and negligence on part of family members.

Q-2 The following data on the number of girls (to the nearest ten) per thousand boys in

Different sections of Indian society are given below.

Social strata and girl child ratio
Number of girls per 1000 boys for various sections of society

Section

Number of girls per thousand boys

Scheduled caste(SC)

940

Scheduled tribe(ST)

970

Non SC/ST

920

Backward districts

950

Non-backward districts

920

Rural

930

Urban

910

  1. Represent the information above by a bar graph.

  2. In the classroom discuss what conclusions can be arrived at from the graph.

Solution (i):

Below chart shows the number each of the various categories.

{"chart":{"plotBackgroundColor":null,"plotShadow":true,"backgroundColor":"transparent","width":600},"title":{"text":"Section Vs Number of girls per thousand boys"},"tooltip":{"pointFormat":"{series.name}: {point.y}"},"credits":{"enabled":false},"xAxis":{"categories":["Scheduled caste(SC)","Scheduled tribe(ST)","Non SC/ST","Backward districts","Non-backward districts","Rural","Urban"],"title":{"text":"Section"}},"yAxis":{"type":"linear","title":{"text":"Number of girls per thousand boys"},"stackLabels":{"enabled":true,"style":{"fontWeight":"bold","color":"gray"}}},"plotOptions":{"series":{"allowPointSelect":true,"cursor":"pointer"}},"legend":{"floating":false,"backgroundColor":"white","borderColor":"silver","borderWidth":1,"shadow":true,"align":"right"},"series":[{"type":"column","name":"Section Vs Number of girls per thousand boys","data":[940,970,920,950,920,930,910],"colors":[{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f7a35c"],[1,"rgb(171,87,16)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#8085e9"],[1,"rgb(52,57,157)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f15c80"],[1,"rgb(165,16,52)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#e4d354"],[1,"rgb(152,135,8)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#2b908f"],[1,"rgb(0,68,67)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f45b5b"],[1,"rgb(168,15,15)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#91e8e1"],[1,"rgb(69,156,149)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#7cb5ec"],[1,"rgb(48,105,160)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#434348"],[1,"rgb(0,0,0)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#90ed7d"],[1,"rgb(68,161,49)"]]}],"_colorIndex":0}]}
Created with Highcharts 4.2.5SectionNumber of girls per thousand boysSection Vs Number of girls per thousand boys940970920950920930910940970920950920930910Section Vs Number of girls per thousand boysScheduled caste(SC)Scheduled tribe(ST)Non SC/STBackward districtsNon-backward districtsRuralUrban050010001500Scheduled caste(SC)Section Vs Number of girls per thousand boys: 940

Solution (ii):

Two things are very clear from the above

  1. The number of girls per 1000 children clearly reflects the preference for boys in the Indian society. We would have thought that urban areas would be better than rural areas, but number of girls per thousand boys is less in urban areas than rural areas.

  2. In fact, the numbers of girls to per thousand boys is maximum in scheduled tribes and minimum in urban section of the society.

  3. Again non SC/ST section of society does worse than SC/ST section in terms of girl child ratio.

Q-3 Given below are the seats won by different political parties in the polling outcome of a State assembly elections:

Political parties vs. Seats
The seats won by different political parties in the polling outcome of state assembly elections

Political Party

A

B

C

D

E

F

Seats Won

75

55

37

29

10

37

  1. Draw a bar graph to represent the polling results.

  2. Which political party won the maximum number of seats?

Solution (I):

Let’s choose the following:

  • On X-axis we categorize the political parties and on y-axis depict the seats won

  • Our scale is ( 1unit=10 seats for y-axis)

  • Below is the graph for the above data

{"chart":{"plotBackgroundColor":null,"plotShadow":true,"backgroundColor":"transparent","width":600},"title":{"text":"Political party Vs Seats won"},"tooltip":{"pointFormat":"{series.name}: {point.y}"},"credits":{"enabled":false},"xAxis":{"categories":["A","B","C","D","E","F"],"title":{"text":"Political party "}},"yAxis":{"type":"linear","title":{"text":"Seats Won"},"stackLabels":{"enabled":true,"style":{"fontWeight":"bold","color":"gray"}}},"plotOptions":{"series":{"allowPointSelect":true,"cursor":"pointer"}},"legend":{"floating":false,"backgroundColor":"white","borderColor":"silver","borderWidth":1,"shadow":true,"align":"right"},"series":[{"type":"column","name":"Political party Vs Seats won","data":[75,55,37,29,10,37],"colors":[{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#7cb5ec"],[1,"rgb(48,105,160)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#434348"],[1,"rgb(0,0,0)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#90ed7d"],[1,"rgb(68,161,49)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f7a35c"],[1,"rgb(171,87,16)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#8085e9"],[1,"rgb(52,57,157)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f15c80"],[1,"rgb(165,16,52)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#e4d354"],[1,"rgb(152,135,8)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#2b908f"],[1,"rgb(0,68,67)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#f45b5b"],[1,"rgb(168,15,15)"]]},{"linearGradient":{"x1":0,"y1":0,"x2":0,"y2":1},"stops":[[0,"#91e8e1"],[1,"rgb(69,156,149)"]]}],"dataLabels":{"enabled":true,"style":{"color":"black"},"connectorColor":"silver"},"stacking":"normal","stack":"0"}]}
Created with Highcharts 4.2.5Political partySeats WonPolitical party Vs Seats won755537291037755537291037Political party Vs Seats wonABCDEF0255075100FPolitical party Vs Seats won: 37

Solution (II):

  • Clearly, political party ‘A’ won maximum number of seats.

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