Daily Practice Problems

Class 11 Maths

Statistics

Class 11 Maths

Statistics

**Question 1:**

Find the mean deviation about the mean for the following data:

6, 7, 10, 12, 13, 4, 8, 12

**Question 2:**

The variance of the given data 2, 4, 5, 6, 8, 17 is 23.33. Find the variance for the data 4, 8, 10, 12, 16, 34.

**Question 3:**

Find the variance and the standard deviation for the following data: 57, 64, 43, 67, 49, 59, 44, 47, 61, 59.

**Question 4:**

In a test with a maximum marks 25, eleven students scored 3, 9, 5, 3, 12, 10, 17, 4, 7, 19, 21 marks respectively. Calculate the range.

**Question 5:**

Coefficient of variation of two distributions is 70 and 75, and their standard deviations are 28 and 27 respectively what are their arithmetic mean?

**Question 6:**

The mean of 2, 7, 4, 6, 8 and p is 7. Find the mean deviation about the median of these observations.

**Question 7:**

Find the mean and variance for the first n natural numbers.

**Question 8:**

The sum of 10 items is 12 and the sum of their squares is 18. Find the standard deviation.

**Question 9:**

The algebraic sum of the deviation of 20 observations measured from 30 is 2. So, the mean of observations is _________.

**Question 10:**

The coefficient of variation is computed by

(a) * 100

(b)

(c) * 100

(d)

**Question 11:**

If mode of a series exceeds its mean by 12, then mode exceeds the median by

(a) 4

(b) 8

(c) 6

(d) 12

**Question 12:**

The median and SD of a distributed are 20 and 4 respectively. If each item is increased by 2, the new median and SD are ________.

**Question 13:**

If the mean of first n natural numbers is , then n = _____.

**Question 14:**

Find the mean deviation about the median for the data.

x |
15 |
21 |
27 |
30 |
35 |

y |
3 |
5 |
6 |
7 |
8 |

**Question 15:**

The mean of a group of 100 observations was found to be 20. Later on, it was found that three observations were incorrect, which was recorded as 21, 21 and 18. Then the mean if the incorrect observations are omitted is _____.

**Question 16:**

Variance is independent of change of

(a) origin only

(b) scale only

(c) origin and scale both

(d) None of these

**Question 17:**

The mean of 5 observations is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6, find the other two observations.

**Question 18:**

The mean of numbers 1, 3, 4, 5, 7, 4 is m and the numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q. Find the value of p + q - m.

**Question 19:**

The measure of dispersion is

(a) mean deviation

(b) standard deviation

(c) quartile deviation

(d) all a, b and c

**Question 20:**

Consider the following statements:

i. Mode can be computed from histogram.

ii. Median is not independent of change of scale.

iii. Variance is independent of change of origin and scale.

Which of these is/are correct?

(a) i, ii and iii

(b) only ii

(c) only i and ii

(d) only i

**************

**Application of Knowledge:**Problem-solving allows you to apply the theoretical concepts of the topic Class 11 Maths Statistics you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.**Understanding Deeper Concepts:**When you encounter problems related to a theoretical concept that you learned in Class 11 Maths Statistics NCERT Chapter 13, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.**Critical Thinking:**Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.**Retention and Recall:**Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Statistics Class 11 Maths in practical scenarios helps you remember them better than passive reading or memorization.**Identifying Knowledge Gaps:**When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Statistics Class 11 Maths Notes on LearnoHub.com**Boosting Confidence:**Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Statistics. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.**Preparation for Exams and Challenges:**Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Statistics Class 11 Maths Online Tests at LearnoHub.com.**Enhancing Creativity:**Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.**Life Skills Development:**Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.**Improving Decision Making:**Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

**In summary, problem-solving after learning a theoretical concept on CBSE Statistics Class 11 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.**

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

**All About Daily Practice Problems on Class 11 Maths Statistics NCERT Chapter 13**

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 11 Maths Statistics NCERT Chapter 13 useful.

Last but not least, to get the best hold on Class 11 Maths Statistics NCERT Chapter 13, do not forget to check out:

- Statistics Class 11 Maths Best videos
- Statistics Class 11 Maths NCERT Solutions
- Class 11 Maths Statistics Revision notes
- Statistics Class 11 Maths DPPs, Download PDF of solutions
- Class 11 Maths Statistics Online Tests
- Class 11 Maths Sample papers