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1: GST (Goods And Service Tax)
2: Banking (Recurring Deposit Account)
3: Shares and Dividend
Unit 2. Algebra
4: Linear Inequations (In one variable)
5: Quadratic Equations
6: Solving (simple) Problems (Based on Quadratic Equations)
7: Ratio and Proportion (Including Properties and Uses)
8: Remainder and Factor Theorems
9: Matrices
10: Arithmetic Progression
11: Geometric Progression
Unit 3. Co-ordinate Geometry
12: Reflection
13: Section and Mid-Point Formula
14: Equation of a Line
Unit 4. Geometry
15: Similarity (With Applications to Maps and Models)
16: Loci (Locus and Its Constructions)
17: Circles
18: Tangents and Intersecting Chords
19: Constructions (Circles)
Unit 5. Mensuration
20: Cylinder, Cone and Sphere
Unit 6. Trigonometry
21: Trigonometrical Identities
22: Height and Distances
Unit 7. Statistics
▶ 23: Graphical Representation
24: Measure of Central Tendency (Mean, Median, Quartiles and Mode)
25: Probability
![Selina solutions for कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 23 - Graphical Representation - Shaalaa.com](/images/concise-mathematics-english-class-10-icse_6:546ec58b532a4792a5ce03643095d81c.jpg "Selina solutions for कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 23 - Graphical Representation")
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Solutions for Chapter 23: Graphical Representation
Below listed, you can find solutions for Chapter 23 of CISCE Selina for कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई.
Selina solutions for कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई 23 Graphical Representation Exercise 23 [Pages 348 - 349]
Draw histogram for the following frequency distributions:
| Class Interval | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 |
| Frequency | 12 | 20 | 26 | 18 | 10 | 6 |
Draw histogram for the following frequency distributions:
| Class Interval | 10 – 16 | 16 – 22 | 22 – 28 | 28 – 34 | 34 – 40 |
| Frequency | 15 | 23 | 30 | 20 | 16 |
Draw histogram for the following frequency distributions:
| Class Interval | 30 – 39 | 40 – 49 | 50 – 59 | 60 – 69 | 70 – 79 |
| Frequency | 24 | 16 | 09 | 15 | 20 |
Draw histogram for the following frequency distributions:
| Class Marks | 16 | 24 | 32 | 40 | 48 | 56 | 64 |
| Frequency | 8 | 12 | 15 | 18 | 25 | 19 | 10 |
Draw a cumulative frequency curve (ogive) for the following distributions:
| Class Interval | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |
| Frequency | 10 | 15 | 17 | 12 | 10 | 8 |
Draw a cumulative frequency curve (ogive) for the following distributions:
| Class Interval | 10 – 19 | 20 – 29 | 30 – 39 | 40 – 49 | 50 – 59 |
| Frequency | 23 | 16 | 15 | 20 | 12 |
Draw an ogive for the following distributions:
| Marks obtained | less than 10 | less than 20 | less than 30 | less than 40 | less than 50 |
| No. of students | 8 | 25 | 38 | 50 | 67 |
Draw an ogive for the following distributions:
| Age in years (less than) | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
| Cumulative frequency | 0 | 17 | 32 | 37 | 53 | 58 | 65 |
Construct a frequency distribution table for the numbers given below, using the class intervals 21-30, 31-40, ... etc.
75, 65, 57, 26, 33, 44, 58, 67, 75, 78, 43, 41, 31, 21, 32, 40, 62, 54, 69, 48, 47, 51, 38, 39, 43, 61, 63, 68, 53, 56, 49, 59, 37, 40, 68, 23, 28, 36 and 47.
Use the table obtained to draw:
- a histrogram
- an ogive
- Use the information given in the adjoining histogram to construct a frequency table.
- Use this table to construct an ogive.
| Class mark | 12.5 | 17.5 | 22.5 | 27.5 | 32.5 | 37.5 | 42.5 |
| Frequency | 12 | 17 | 22 | 27 | 30 | 21 | 16 |
- From the distribution, given above, construct a frequency table.
- Use the table obtained in part (a) to draw : (i) a histogram, (ii) an ogive.
Use graph paper for this question.
The table given below shows the monthly wages of some factory workers.
- Using the table, calculate the cumulative frequencies of workers.
- Draw a cumulative frequency curve.
Use 2 cm = ₹ 500, starting the origin at ₹ 6500 on x-axis, and 2 cm = 10 workers on the y-axis.
| Wages (in ₹.) | 6500-7000 | 7000-7500 | 7500-8000 | 8000-8500 | 8500-9000 | 9000-9500 | 9500-10000 |
| No. of workers | 10 | 18 | 22 | 25 | 17 | 10 | 8 |
The following table shows the distribution of the heights of a group of factory workers:
| Ht. (cm): | 150-155 | 155-160 | 160-165 | 165-170 | 170-175 | 175-180 | 180-185 |
| No. of workers: | 6 | 12 | 18 | 20 | 13 | 8 | 6 |
- Determine the cumulative frequencies.
- Draw the ‘less than’ cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10 workers on the other.
Construct a frequency distribution table for the following distributions:
| Marks (less than) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
| Cumulative frequency | 0 | 7 | 28 | 54 | 71 | 84 | 105 | 147 | 180 | 196 | 200 |
Construct a frequency distribution table for the following distributions:
| Marks (more than) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
| Cumulative frequency | 100 | 87 | 65 | 55 | 42 | 36 | 31 | 21 | 18 | 7 | 0 |
Solutions for 23: Graphical Representation
Selina solutions for कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 23 - Graphical Representation
Shaalaa.com has the CISCE Mathematics कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Selina solutions for Mathematics कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई CISCE 23 (Graphical Representation) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Selina textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई chapter 23 Graphical Representation are Frequency Distribution and Its Applications, Histograms, Frequency Polygon, Cumulative Frequency and Cumulative Frequency Table, Ogives (Cumulative Frequency Curve), Concepts of Statistics, Frequency Distribution and Its Applications, Histograms, Frequency Polygon, Cumulative Frequency and Cumulative Frequency Table, Ogives (Cumulative Frequency Curve), Concepts of Statistics, Frequency Distribution and Its Applications, Histograms, Frequency Polygon, Cumulative Frequency and Cumulative Frequency Table, Ogives (Cumulative Frequency Curve), Concepts of Statistics.
Using Selina कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई solutions Graphical Representation exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Selina Solutions are essential questions that can be asked in the final exam. Maximum CISCE कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई students prefer Selina Textbook Solutions to score more in exams.
Get the free view of Chapter 23, Graphical Representation कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई additional questions for Mathematics कन्साइस मैथमैटिक्स [अंग्रेजी] कक्षा १० आईसीएसई CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.
