Graphical Representation of Statistical Data MATHS - Graphical Representation of Statistical Data

In a histogram the class intervals or the group are taken along:

1. Y-axis.
2. X-axis.
3. Both of X-axis and Y-axis.
4. In between X and Y axis.

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

1. Upper limit of the class.
2. Lower limit of the class.
3. Mid value of the class.
4. Any values of the class.

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

1. The lower limit of the concerned class interval.
2. The upper limit of the concerned class interval.
3. The mid-value of the concerned class interval.
4. Any value of the concerned class interval.

A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along:

1. Vertical axis and horizontal axis.
2. Vertical axis only.
3. Horizontal axis only.
4. Horizontal axis and vertical axis.

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

1. Bar graph.
2. Histogram.
3. Frequency polygon.
4. Cumulative frequency distribution.

The distribution of height (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 tom 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

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

Daily earning (in ₹):	450-500	500-550	550-600	600-650	650-700
Number of stores:	16	10	7	3	1

Construct a histogram for the following data:

Monthly School fee (in ₹):	30-60	60-90	90-120	120-150	150-180	180-210	210-240
No of schools	5	12	14	18	10	9	4

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

Expenditure (in ₹):	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.

Read the following bar graph and answer the following questions:

1. What is the information given by the bar graph?
2. State each of the following whether true or false.

1. The number of government companies in 1957 is that of 1982 is 1 : 9.
2. The number of government companies has decreased over the year 1957 to 1983.

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

Sectors	Investment (in ten crores of rupess)
Central government securities	45
State government securities	11
Securities guaranteed by the government	23
Private sectors	18
Socially oriented sectors (plan)	46
Socially oriented sectors (Non–plan)	11

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

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

Census year	1961	1971	1981	1991	2001
Population in Lakhs	30	55	70	110	150

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

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.

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

Years	1982–83	1983–84	1984–85	1985–86	1986–87
Value of exports 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.

The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:

Year	1992	1993	1994	1995	1996	1997
Manure (in thousand tonnes)	15	35	45	30	40	20

1. Represent the above data with the help of a bar graph.
2. Indicate with the help of the bar graph the year in which the amount of manufactured by the company was maximum.
3. Choose the correct alternative:

The consecutive years during which there was the maximum decrease in manure production are:

1. 1994 and 1995
2. 1992 and 1993
3. 1996 and 1997
4. 1995 and 1996

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

Day	Mon	Tue	Wed	Thurs	Fri	Sat	Sun
Number of T.V. Sets	300	400	150	250	100	350	200

Represent the above information by a pictograph.

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.

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. In thousands)	100	140	150	170	210
Expenditure (Rs. in thousands)	80	130	145	160	190

Represent the above data by a bar graph.

The following table shows the interest paid by a company (in lakhs):

Year	1995–96	1996–97	1997–98	1998–99	1999–2000
Interest (in lakhs of rupees)	20	25	15	18	30

Draw the bar graph to represent the above information.

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

Year	1960-61	1970-71	1980-81	1990-91	2000-2001
Route lenght (in thousand Km)	56	60	61	74	98

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