Advertisements
Advertisements
Question
Draw a histogram of the following distribution:
Heights (in cm) | Number of students |
150 – 153 | 7 |
153 – 156 | 8 |
156 – 159 | 14 |
159 – 162 | 10 |
162 – 165 | 6 |
165 – 168 | 5 |
Solution
Clearly, the given frequency distribution is in exclusive form.
Along the horizontal axis, we represent the class intervals of heights on some suitable scale. The corresponding frequencies of number of students are represented along the vertical axis on a suitable scale.
Since, the given intervals start with 150 – 153. It means that there is some break (vw) is indicated near the origin to signify the graph is drawn with a scale beginning at 150.
A histogram of the given distribution is given below.
APPEARS IN
RELATED QUESTIONS
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 %):-
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 conditions | 4.1 |
6. | Other causes | 22.0 |
- Represent the information given above graphically.
- Which condition is the major cause of women’s ill health and death worldwide?
- 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.
A random survey of the number of children of various age groups playing in a park was found as follows:
Age (in years) | Number of children |
1 - 2 | 5 |
2 - 3 | 3 |
3 - 5 | 6 |
5 - 7 | 12 |
7 - 10 | 9 |
10 - 15 | 10 |
15 - 17 | 4 |
Draw a histogram to represent the data above.
The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:
Year | 1992 | 1993 | 1994 | 1995 | 1996 |
Loan (in crores of rupees) |
28 | 33 | 55 | 55 | 80 |
(i) Represent the above data with the help of a bar graph.
(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.
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 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.
A histogram is a pictorial representation of the grouped data in which class intervals and frequency are respectively taken along
The following table shows the market position of different brands of tea-leaves.
Brand | A | B | C | D | others |
% of Buyers | 35 | 20 | 20 | 15 | 10 |
Draw it-pie-chart to represent the above information.
The number of students (boys and girls) of class IX participating in different activities during their annual day function is given below:
Activities | Dance | Speech | Singing | Quiz | Drama | Anchoring |
Boys | 12 | 5 | 4 | 4 | 10 | 2 |
Girls | 10 | 8 | 6 | 3 | 9 | 1 |
Draw a double bar graph for the above data.
Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.
In the following figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency distribution table.