In a histogram the class intervals or the group are taken along:
- A$Y-$ axis.
- ✓$X-$ axis.
- CBoth of $X-$ axis and $Y-$ axis.
- DIn between $X$ and $Y $ axis.
Answer: B.
View full solution →Question types
Graphical Representation of Statistical Data question types
52 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
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Sample Questions
Graphical Representation of Statistical Data questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
A frequency polygon is constructed by plotting frequency of the class interval and the:
- AUpper limit of the class.
- BLower limit of the class.
- ✓Mid value of the class.
- DAny values of the class.
Answer: C.
View full solution →In the 'less than' type of ogive the cumulative frequency is plotted against:
- AThe lower limit of the concerned class interval.
- ✓The upper limit of the concerned class interval.
- CThe mid-value of the concerned class interval.
- DAny value of the concerned class interval.
Answer: B.
View full solution →In a histogram the area of each rectangle is proportional to:
- AThe class mark of the corresponding class interval.
- BThe class size of the corresponding class interval.
- ✓Frequency of the corresponding class interval.
- DCumulative frequency of the corresponding class interval.
Answer: C.
View full solution →In a histogram, each class rectangle is constructed with base as:
- AFrequency.
- ✓Class $-$ intervals.
- CRange.
- DSize of the class.
Answer: B.
View full solution →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 |
Read the following bar graph and answer the following questions:
- What is the information given by the bar graph?
- State each of the following whether true or false.
- The number of government companies in 1957 is that of 1982 is 1 : 9.
- The number of government companies has decreased over the year 1957 to 1983.
The following bar graph shows the results of an annual examination in a secondary school.
Read the bar graph and choose the correct alternative in each of the following:
Read the bar graph and choose the correct alternative in each of the following:
- The pair of classes in which the results of boys and girls are inversely proportional are:
- VI, VIII
- VI, IX
- VII, IX
- VIII, X
- The class having the lowest failure rate of girls is:
- VI
- X
- IX
- VIII
- The class having the lowest pass rate of students is:
- VI
- VII
- VIII
- IX
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:
Draw a histogram and a frequency polygon representing the above data.
| 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 |
Read the following bar graph and answer the following questions:
- What information is given by the bar graph?
- In which year the export is minimum?
- In which year the import is maximum?
- In which year the difference of the values of export and import is maximum?
The production of oil (in lakh tonnes) in some of the refineries in India during 1982 was given below:
Construct a bar graph to represent the above data so that the bars are drawn horizontally.
|
Refinery
|
Barauni
|
Koyali
|
Mathura
|
Mumbai
|
Florida
|
|
Production of oil (in lakh tonnes)
|
30
|
70
|
40
|
45
|
25
|
The income and expenditure for 5 years of a family is given in the following data:
Represent the above data by a bar graph.
|
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
|
The following table shows the interest paid by a company (in lakhs):
Draw the bar graph to represent the above information.
|
Year
|
1995–96
|
1996–97
|
1997–98
|
1998–99
|
1999–2000
|
|
Interest (in lakhs of rupees)
|
20
|
25
|
15
|
18
|
30
|
Study the bar graph representing the number of persons in various age groups in a town shown in figure Observe the bar graph and answer the following questions:
- What is the percentage of the youngest age-group persons over those in the oldest age group?
- What is the total population of the town?
- What is the number of persons in the age-group 60–65?
- How many persons are more in the age-group 10–15 than in the age group 30–35?
- What is the age-group of exactly 1200 persons living in the town?
- What is the total number of persons living in the town in the age-group 50–55?
- What is the total number of persons living in the town in the age-groups 10 – 15 and 60 – 65?
- Whether the population in general increases, decreases or remains constant with the increase in the age-group.
Read the following bar graph and answer the following questions:
- What information is given by the bar graph?
- Which state is the largest producer of rice?
- Which state is the largest producer of wheat?
- Which state has total production of rice and wheat at its maximum?
- Which state has total production of wheat and rice at its minimum?
The investments (in ten crores of rupees) of Life Insurance Corporation of India in different sectors is given below:
Represent the above data with the help of a bar graph.
|
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
|
The population of Delhi State in different census years is as given below:
Represent the above information with the help of a bar graph.
|
Census year
|
1961
|
1971
|
1981
|
1991
|
2001
|
|
Population in Lakhs
|
30
|
55
|
70
|
110
|
150
|
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):
Represent the data with the help of a bar graph. Indicate with the help of the bar graph the course where the estimated requirement is least.
|
Qualifications
|
MCA (Masters 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
|
The following bar graph represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions:
- What percentage of the total number of students have their heights more than 149cm?
- How many students in the class are in the range of maximum height of the class?
- The school wants to provide a particular type of tonic to each student below the height of 150cm to improve his height. If the cost of the tonic for each student comes out to be Rs. 55, how much amount of money is required?
- How many students are in the range of shortest height of the class?
- State whether true or false:
- There are 9 students in the class whose heights are in the range of 155-159cm.
- Maximum height (in cm) of a student in the class is 17.
- There are 29 students in the class whose heights are in the range of 145-154cm.
- Minimum height (in cm) of a student is the class is in the range of 140-144cms.
- The number of students in the class having their heights less than 150cm is 12.
- There are 14 students each of whom has height more than 154cm.
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