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:
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.
Exam Preparedness: Sample Question Papers provide ample practice for exams. They help students familiarize themselves with the exam format and types of questions, reducing exam anxiety.
Sample Questions
Sec A
(1) Assertion : Mode of sin 0°, cos 0°, sin 90° and tan 45° is 0.
Reason : x = Σfxi/Σf
Choose the correct answer
(A) Both Assertion and Reason are true. Reason is supporting the Assertion. (B) Both Assertion and Reason are true. But Reason is not supporting the Assertion.
(C) Assertion is true but the Reason is false.
(D) Assertion is false but the Reason is true.
(2) Prathyusha stated that “the average of first 10 odd numbers is also 10”. Do you agree with her? Justify your answer.
(3) Write the formula to find the median of a grouped data and explain the alphabet in it.
(4) If the mean of a, a + 3, a + 6, a + 9 and a + 12 is 10, then the value of 'a' is .....
(A) 1 (B) 2 (C) 3 (D) 4
(5) Find the median of first seven composite numbers.
Sec B
(1) Write the formula to find mean of grouped data in direct method and explain the terms in it.
(2) Find the median of
(3) Write the mode formula for grouped data and explain the terms in it.
Sec C
(1) Heights of the pupils of a particular school are given. Draw greater than cumulative curve and find the median height from it.
| Height (in cm) | 90-100 | 100-110 | 110-120 | 120-130 | 130-140 | 140-150 |
|---|---|---|---|---|---|---|
| Number of pupils | 5 | 2 | 3 | 8 | 8 | 6 |
(2) Find the mean age of 100 residents of a colony from the following data.
| Age (in years) | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
|---|---|---|---|---|---|---|---|
| No. of Persons | 10 | 15 | 25 | 25 | 10 | 10 | 5 |
(3) Write the formula for Mode of a grouped data and explain each term.
(4) Write the formula for Median of a grouped data and explain each term of it.
(5) If the median of 60 observations given below is 28.5, then find the values of x and y.
| Class interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
|---|---|---|---|---|---|---|
| Frequency | 5 | x | 20 | 15 | y | 5 |
(6) Draw less than Ogive for the following frequency distribution. Find the median from obtained curve.
| IQ | 60-70 | 70-80 | 80-90 | 90-100 | 100-110 | 110-120 | 120-130 |
|---|---|---|---|---|---|---|---|
| No. of students | 2 | 5 | 12 | 31 | 39 | 10 | 4 |
(7) Incomes of the families in a locality are given. Find the mode of the data.
| Income (in ₹) | 1-200 | 201-400 | 401-600 | 601-800 | 801-1000 |
|---|---|---|---|---|---|
| Number of families | 7 | 10 | 16 | 12 | 3 |
Sec D
(1) Find the Arithmetic mean of the following data.
| Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
|---|---|---|---|---|---|---|---|
| Frequency | 11 | 14 | 15 | 20 | 15 | 13 | 12 |
(2) Find the mode for the following data.
| Class interval | 1000-1500 | 1500-2000 | 2000-2500 | 2500-3000 | 3000-3500 | 3500-4000 | 4000-4500 | 4500-5000 |
|---|---|---|---|---|---|---|---|---|
| Frequency | 24 | 40 | 33 | 28 | 30 | 22 | 16 | 7 |
(3) Find the mode of the following data :
| Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
|---|---|---|---|---|---|---|---|---|
| Frequency | 7 | 14 | 13 | 12 | 20 | 11 | 15 | 8 |
Sec E
(1) Find the median for the following data.
| Class interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
|---|---|---|---|---|---|
| Frequency | 6 | 10 | 12 | 8 | 8 |