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7th class > Data Handling > Extra Curriculum Support

Extra Curriculum Support

Enhanced Curriculum Support

This is a comprehensive educational resource designed to provide students with the tools and guidance necessary to excel. This support system is structured to cater to various aspects of learning, ensuring that students are well-prepared for academic challenges and practical applications of mathematical concepts. Some are the key benefits are mentioned below:

1.Comprehensive Learning: This holistic approach helps students gain a thorough understanding of the subject. Practical Application: The resources encourage students to apply mathematical concepts to real-life scenarios, enhancing their practical understanding and problem-solving skills.

2.Critical Thinking and Reasoning: Value-Based and HOTS questions promote critical thinking and reasoning abilities. These skills are crucial for students to tackle complex problems and make informed decisions.

3.Exam Preparedness: Sample Question Papers and NCERT Exemplar Solutions provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.

4.Ethical and Moral Development: Value-Based Questions integrate ethical and moral lessons into the learning process, helping in the overall development of students' character and social responsibility. By incorporating these diverse elements, Enhanced Curriculum Support aims to provide a robust and well-rounded knowledge, preparing students for both academic success and real-world challenges.

About the Section

Sec A

1. A number is chosen at random from 1 to 5. What is the probability that the number chosen is odd?

Sec B

2. In a cricket match, the runs scored by 11 players are as follows 12, 23, 10, 77, 15, 78, 90, 54, 23, 10, 1 Find the average score.

Sec C

3. The median of the given data is 29 arranged in increasing order of value. What is the value of x x, 20, 2x + 6, 2x + 9, 40, 45, 52?

About the Section

Problem 1

1. Ravi's school organized a charity event to raise funds for a local orphanage. Students were asked to sell handmade crafts, and the number of crafts sold by each class was recorded. The data collected is as follows:

Class 7A: 45 crafts

Class 7B: 38 crafts

Class 7C: 52 crafts

Class 7D: 41 crafts

Ravi believes that the class with the highest sales should be appreciated and awarded. However, he also thinks it's important to recognize the efforts of all classes. How can Ravi present this data to show both the highest sales and the collective effort of all classes?

Problem 2

2. Anu is analyzing the performance of her school's sports teams over the past year. She has the following data for the number of matches won by different teams.

Basketball Team: 18 matches

Football Team: 22 matches

Volleyball Team: 15 matches

Hockey Team: 10 matches

Anu wants to understand which team performed the best and how the other teams fared in comparison. What measures can she use to summarize this data effectively and promote team spirit?

About the Section

Q1

1. During a survey in a school, the number of students preferring different types of fruits was recorded as follows.

Apples: 30 students Bananas: 20 students Oranges: 25 students Grapes: 15 students Mangoes: 10 students

If the school plans to buy fruits based on student preferences but has a budget to buy only 100 fruits, how many of each type of fruit should the school buy to match the students' preferences proportionately?

Q2

2. A class of 40 students was surveyed about their favorite subjects. The results were as follows.

Mathematics: 10 students

Science: 15 students

English: 8 students

Social Studies: 7 students

The class teacher wants to form four study groups for a project, ensuring each group has students with mixed subject preferences. How should the teacher distribute the students to form balanced groups with diverse interests?

About the Section

Questions

1. The range of the data 14, 6, 12, 17, 21, 10, 4, 3 is.

(a) 21 (b) 17 (c) 18 (d) 11

2. The mode of the data 23, 26, 22, 29, 23, 29, 26, 29,22, 23 is.

(a) 23 and 29 (b) 23 only (c) 29 only (d) 26 only

3. The median of the data 40, 50, 99, 68, 98, 60, 94 is.

(a) 40 (b) 60 (c) 68 (d) 99

4. The mean of first five prime numbers is --.

5. The mode of the observations 23, 26, 15, 12, 28, 38,19, 23, 26, 23 is 28.

6. Median of the data:4, 5, 9, 2, 6, 8, 7 is 2

7. If the mean of 26, 28, 25, x, 24 is 27, find the value of x.

8. The mean of 10 observations was calculated as 40. It was detected on rechecking that the value of 45 was wrongly copied as 15. Find the correct mean.

9. The probability of getting an ace out of a deck of cards is greater than 1.

10. Mean of the data is always from the given data.

11. Median of the data may or may not be from the given data.

12. Mode of the data is always from the given data.

13. What is the probability of the sun setting tomorrow?

14. The table below compares the population (in hundreds) of 4 towns over two years:

TownsABCD
20072900640083004600
20093200750092006300

Study the table and answer the following questions:

(a) Draw a double bar graph using appropriate scale to depict the above information.

(b) In which town was the population growth maximum?

(c) In which town was the population growth least?

About the Section

Q1

1.In a small town, the local library conducted a survey to understand the reading habits of its members. The survey collected data on the number of books read by members in a month. The results were as follows: 5 members read 0-1 books, 10 members read 2-3 books, 15 members read 4-5 books, and 8 members read more than 5 books. The library wants to encourage more reading and plans to introduce new programs based on this data. They are considering offering rewards to those who read the most books and creating book clubs for different reading levels.

Questions:

1. How many members participated in the survey?

2. What percentage of members read more than 5 books?

3. How can the library use this data to design their new reading programs?

Q2

2.The city's health department conducted a study to analyze the exercise habits of residents in four different neighborhoods. They collected data on the average number of hours spent exercising per week. The results showed that residents in Neighborhood A exercised an average of 2 hours per week, Neighborhood B averaged 3 hours, Neighborhood C averaged 1.5 hours, and Neighborhood D averaged 2.5 hours. The department wants to use this data to develop community fitness programs and encourage more residents to adopt healthy exercise routines.

Questions:

1. Which neighborhood has the highest average exercise hours per week?

2. What is the average exercise time for all neighborhoods combined?

3. How can the health department use this data to improve community fitness?