Class 10 Math Statistics MCQ Test

Class 10 Math Statistics MCQ Test: Sharpen your skills with free online multiple-choice questions for CBSE Class 10 Math Chapter 13. Understand key concepts in statistics, including mean, median, mode, and data representation. Ideal for CBSE exam preparation and competitive tests.

Class 10 Math Statistics MCQ Test Quiz

Time: 10 Minutes for 10 Question.

10th Math: Statistics

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About Statistics

Chapter 13 of the CBSE Class 10 Math curriculum, titled “Statistics,” focuses on the methods of analyzing and interpreting data. This chapter covers key statistical measures such as mean, median, mode, and various methods of data representation. The free MCQ quiz provided in this chapter will help students solidify their understanding and prepare effectively for their CBSE examinations.

Key Concepts Covered:

Data Representation:
- Types of Data: Data can be categorized into qualitative (non-numeric) and quantitative (numeric) data.
- Frequency Distribution: Data can be organized into frequency tables to show how often each value occurs.
Measures of Central Tendency:
- Mean (Arithmetic Average):
  - Formula: The mean $xˉ\bar{x}$
    
    $x ˉ$ of a set of
    
    $n$ observations $x1,x2,…,xnx_1, x_2, \ldots, x_n$
    
    $x_{1}, x_{2}, \dots, x_{n}$ is given by: $xˉ=x1+x2+⋯+xnn\bar{x} = \frac{x_1 + x_2 + \cdots + x_n}{n}$
    
    $x ˉ = n x ^{1} + x ^{2} + \dots + x ^{n}$
  - Application: Provides a measure of the central value of a dataset.
- Median:
  - Definition: The median is the middle value of a dataset when the values are arranged in ascending or descending order.
  - Calculation:
    - For an odd number of observations, the median is the middle value.
    - For an even number of observations, the median is the average of the two middle values.
- Mode:
  - Definition: The mode is the value that appears most frequently in a dataset.
  - Application: Useful for identifying the most common value in a dataset.
Cumulative Frequency Distribution:
- Definition: The cumulative frequency is the running total of frequencies up to a certain point.
- Ogive: A graphical representation of cumulative frequency distribution that helps in understanding the distribution of data.
Graphical Representation:
- Bar Graphs: Used to represent categorical data with rectangular bars.
- Histograms: Similar to bar graphs but used for continuous data, where bars touch each other.
- Pie Charts: Circular charts divided into sectors to show proportions of a whole.
- Frequency Polygon: A line graph that shows the distribution of frequencies.
Understanding Data Spread:
- Range: The difference between the maximum and minimum values in a dataset.
  - Formula: Range $\text{Maximum value} – \text{Minimum value}$
    
    $= Maximum value - Minimum value$
- Mean Deviation (Optional): A measure of how much the data deviates from the mean, though it is not typically covered in Class 10.
Application Problems:
- Example 1: Calculate the mean of the following data: 5, 7, 8, 9, 10.
  - Solution: Use $xˉ=5+7+8+9+105\bar{x} = \frac{5 + 7 + 8 + 9 + 10}{5}$
    
    $x ˉ = 5 5 + 7 + 8 + 9 + 10$ .
- Example 2: Find the median of the data set: 2, 4, 6, 8, 10, 12.
  - Solution: For an even number of observations, the median is $6+82\frac{6 + 8}{2}$
    
    $2 6 + 8$ .

Quiz Structure:

The MCQ quiz for this chapter includes a series of questions designed to test students’ understanding of statistical measures and data representation. Questions cover calculating mean, median, mode, interpreting graphs, and analyzing cumulative frequency. The interactive format allows students to practice and assess their knowledge effectively.

Conclusion:

Practicing with the Class 10 Math Statistics MCQ Test Chapter 13 is an excellent way for CBSE students to reinforce their understanding of statistical concepts. This chapter provides a comprehensive overview of data analysis techniques, including measures of central tendency and data representation methods. The MCQ quiz helps ensure students are well-prepared for their academic assessments and competitive exams.

Sanjay Kumar

Math educator (6-12) with an MSc from Delhi University and quiz content creator at QuizRanker.org.