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The following data gives the demand estimates of the Government of India, Department of Electronics for the personnel in the Computer sector during the Eighth Plan period (1990-95):

Qualifications: MCA
(Master in
Computer
applications)
DCA
(Diploma in Computer Applications)
DCE
(Diploma in Computer Engineering)
CL
(Certificate Level Course)
ST
(Short-term Course)
Personnel Required 40600 181600 18600 670600 1802900

Represent the data with the help of a bar graph. Indicate with the help of the bar graph the course where estimated requirement is least.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The income and expenditure for 5 years of a family is given in the following data:

Years 1995-96 1996-97 1997-98 1998-99 1999-2000
Income
(Rs. inthousands)
100 140 150 170 210
Expenditure
(Rs. in thousands)
80 130 145 160 190

Represent the above data by a gar graph.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

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The investment (in ten crores of rupees) of Life Insurance Corporation of India in different sectors are given below:

Sectors Investment
(in ten crores of rupees)
Central Government Securities
State Government Securities
Securities guaranteed by the Government
Private Sectors
Socially oriented sectors (Plans)
Socially oriented sectors (Non-Plan)
45
11
23
18
46
11

Represent the above data with the help of bar graph.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The following data gives the value (in crores of rupees) of the Indian export of cotton textiles for different years:

Years 1982 1983-1984 1984-1985 1985-1986 1986-1987
Value of Export
of Cotton Textiles
(in crores of rupees)
300 325 475 450 550

Represent the above data with the help of a bar graph. Indicate with the help of a bar graph the year in which the rate of increase in exports is maximum over the preceding year.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The following tables gives the quantity of goods (in crore tonnes)

Year 1950-51 1960-61 1965-66 1970-71 1980-81 1982-83
Quantity of Goods
(in crore tonnes)
9   16 20 20 22 26
Represent this information with the help of a bar graph.
Explain through the bar graph if the quantity of goods carried by the Indian Railways in 1965-66 is more than double the quantity of goods carried in the year 1950-51.
[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The production of oil (in lakh tonnes) in some of the refineries in India during 1982 was given below:

Refinery: Barauni Koyali Mathura Mumbai Florida
Production of oil
(in lakh tonnes)
30 70 40 45 25

Construct a bar graph to represent the above data so that the bars are drawn horizontally.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The expenditure (in 10 crores of rupees) on health by the Government of India during the various five year plans is shown below:

Plans: I II III IV V VI
Expenditure on health
(in 10 crores of rupees)
7 14 23 34 76 182

Construct a bar graph to represent the above data.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

Construct a histogram for the following data:

Monthly School
fee (in Rs):
30-60 60-90 90-120 120-150 150-180 180-210 210-240
No of Schools 5 12 14 18 10 9 4
[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

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

Height (in cm): 124
to
128
128
to
132
132
to
136
136
to
140
140
to
144
144
to
148
148
to
152
152
to
156
156
to
160
160
to
164
No. of Children: 5 8 17 24 16 12 6 4 3 1
[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

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.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

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:

Cost of living
index:
440-460 460-480 480-500 500-520 520-540 540-560 560-580 580-600
No. of months: 2 4 3 5 3 2 1 4
[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The following is the distribution of total household expenditure (in Rs.) of manual worker in a city:

Expenditure
(in Rs):
100-150 150-200 200-250 250-300 300-350 350-400 400-450 450-500
No. of manual workers: 25 40 33 28 30 22 16 8

Draw a histogram and a frequency polygon representing the above data.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The following table gives the distribution of IQ's (intelligence quotients) of 60 pupils of class V in a school:

IQ's: 125.5
to
13.25
118.5
to
125.5
111.5
to
118.5
104.5
to
111.5
97.5
to
104.5
90.5
to
97.5
83.5
to
90.5
76.5
to
83.5
69.5
to
76.5
62.5
to
69.5
No.
of pupils:
1 3 4 6 10 12 15 5 3 1

Draw a frequency polygon for the above data.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

Draw a histogram for the daily earnings of 30 drug stores in the following table:
 

Daily earning
(in Rs):
450-500 500-550 550-600 600-650 650-700
Number of Stores: 16 10 7 3 1
[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop: 0-50 50-100 100-50 150-200 200-250 250-300
No. shops: 12 18 27 20 17 6

Draw a histogram for the data and show the frequency polygon for it.

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

Which one of the following is not the graphical representation of statistical data:

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

In a frequency distribution, ogives are graphical representation of

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

A frequency polygon is constructed by plotting frequency of the class interval and the

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

In a histogram the area of each rectangle is proportional to

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined

In the 'less than' type of ogive the cumulative frequency is plotted against

[12] Statistics
Chapter: [12] Statistics
Concept: undefined >> undefined
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