T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 7 – Frequency Diagrams, Histograms, Polygons, and Ogive is a crucial principle that students can study thoroughly. T.R. Jain and V.K. Ohri Solutions for Class 11 are available here.
| 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 |
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
Frequency Curve
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 |
| 0-2020-4040-6060-8080-100 | 1020402010 |
Solution
(i) ‘Less than’ method
| Weekly wages (₹) | C.F |
| Less 20Less 40Less 60Less 80Less 100 | 10307090100 |
(ii) ‘More than’ method
| Weekly wages (₹) | C.F |
| More than 0 – 100More than 20 – 90More than 40 – 70More than 60 – 30More than 0 – 10 | 10307090100 |
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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