Statistics

Statistics Important Questions

Here are some important questions for Class 10 Mathematics Chapter 13, Statistics, carefully selected to help students prepare effectively for the CBSE Class 10 Mathematics Examination in 2023-24. By practicing these diverse problems, students can improve their understanding of Statistics concepts and enhance their problem-solving abilities. These questions are designed to clarify doubts and contribute to better performance in the Statistics chapter.

Table of Content

In Chapter 13 of Class 10 Mathematics,Statistics, we will focus on understanding and calculating the measures of central tendency—mean, median, and mode—for grouped data. These measures help us analyze and summarize large sets of data by providing insights into the typical values and trends within the data.

Statistics involves collecting, analyzing, and interpreting data to understand trends, patterns, and information in various fields. It helps in making informed decisions and drawing conclusions.

(b) The upper class boundary is the same as the lower class boundary of the next class.

(c) Both the lower and upper class boundaries are the same.

(d) The lower and upper class boundaries are contained within the class and do not intersect with either the upper boundary of the previous class or the lower boundary of the next class.

**Ans. **(d)

**Explanation:**The lower and upper class boundaries are contained within the class and do not intersect with either the upper boundary of the previous class or the lower boundary of the next class.

(b)17.5 and 4.5

(c)1.75 and 4.5

(d)17.5 and 45

**Ans. **(b)17.5 and 4.5

**Explanation:**Explanation: We derive the class mark x

x

Thus, x

=\(\frac{1}{2}\)(35)=17.5

And x

Thus, x

=\(\frac{1}{2}\)(90) = 45

**Ans. **x = 8

**Explanation:**Given Mean = 18

Mean = \(\frac{\Sigma f_ix_i}{\Sigma f_i}\)

18 = 520 + 25 x/32+ x

18(32+x) = 520 +25x

576-520 = 25x-18x

X = 8

**Ans. **Mean = 143

**Explanation:**

**Explanation:**Mean = Σf

= 143

**Ans. **149.2

**Explanation:**Sum up all the heights: Sum = 140 + 142 + 145 + 150 + 148 + 152 + 156 + 145 + 146 + 144 + 149 + 151 + 153 + 148 + 142 + 147 + 149 + 155 + 146 + 144 + 147 + 150 + 153 + 147 + 145 + 149 + 151 + 153 + 152 + 148

Sum = 4476

Calculate the mean:

Mean = Sum / Total number of students

Mean = 4476 / 30

Mean = 149.2 cm

To enhance your grasp of the Statistics chapter, consider exploring oswal.io. This website provides a variety of practice questions tailored to facilitate better learning. By engaging with these questions, you can reinforce your understanding of statistical concepts and improve your problem-solving abilities in this important math topic.

**Ans:** Data refers to information or observations collected for analysis. Raw data is the original, unprocessed form of data before any organization or manipulation.

**Ans: **Statistics is a branch of mathematics that involves collecting, organizing, analyzing, interpreting, and presenting data. It provides methods for understanding patterns, trends, and relationships in data.

**Ans: **The median is the middle value of a dataset when arranged in ascending or descending order. It divides the data into two equal halves.

**Ans: **Grouped data is data that is categorized into intervals or classes. It simplifies data representation when dealing with large datasets.

**Ans: **The midpoint of a class interval is calculated by adding the lower and upper limits of the interval and dividing by 2.