T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 7 – Frequency Diagrams, Histograms, Polygon and Ogive is regarded as an important concept to be studied thoroughly by the students. Here, we have provided T.R. Jain and V.K. Ohri Solutions for Class 11.
| Board | CBSE |
| Class | Class 11 |
| Subject | Statistics for economics |
| Chapter | Chapter 7 |
| Chapter Name | Frequency Diagrams, Histograms, Polygon and Ogive |
| Number of questions solved | 05 |
| Category | T.R. Jain and V.K. Ohri |
Chapter 7 – Frequency Diagrams, Histograms, Polygon and Ogive cover below-mentioned concepts
- Ogive or cumulative frequency curve
- Histogram and frequency polygon
- Cumulative frequency table
T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 7 – Frequency Diagrams, Histograms, Polygon and Ogive
Question 1
Make a frequency curve of the following data:
| Age (Years) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| No of Residents | 150 | 300 | 500 | 800 | 1,000 | 900 | 400 | 100 |
Solution
The given data set is first converted into a histogram. The mid-points are marked on the top of the rectangles of the histogram. These points are joined through a freehand smoothed curve as shown in the figure
Question 2
Prepare a histogram and a frequency polygon from the following data:
| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
| No. of Students | 5 | 8 | 15 | 11 | 6 | 4 |
Solution
Question 3
Draw the ‘less than’ and ‘more than’ ogives on the same graph paper from the given data:
| Weekly wages (₹) | No. of workers |
| 0-20
20-40 40-60 60-80 80-100 |
10
20 40 20 10 |
Solution
(i) ‘Less than’ method
| Weekly wages (₹) | C.F |
| Less 20
Less 40 Less 60 Less 80 Less 100 |
10
30 70 90 100 |
(ii) ‘More than’ method
| Weekly wages (₹) | C.F |
| More than 0 – 100
More than 20 – 90 More than 40 – 70 More than 60 – 30 More than 0 – 10 |
10
30 70 90 100 |
Both ‘less than’ and ‘more than’ ogives based on the above data are presented in the following graph.
Question 4
Draw a histogram and a frequency polygon for the following distribution:
| Age (Years) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| No. of Residents | 30 | 40 | 60 | 100 | 70 | 40 | 30 | 20 |
Solution
Number of residents corresponding to different age group
Question 5
Draw a histogram, frequency polygon, and frequency curve of the following data.
| Marks | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
| No. of Students | 40 | 51 | 64 | 38 | 7 |
Solution
Cumulative Frequency table
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