Class 10 Maths Chapter 13 Statistics MCQs Quiz

Are you preparing for your Class 10 board exams and want to strengthen your grasp of Chapter 13, ‘Statistics’? Do you find this chapter a bit complex with its methods for finding mean, median, and mode for grouped data? We have the perfect tool for you: the Class 10 Maths Chapter 13 Statistics MCQs Quiz. This free online test is a great opportunity to test your knowledge and prepare according to the exam pattern. Let’s start your board exam preparation with this insightful Statistics quiz!

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Statistics MCQs Quiz

Click the Start button to begin the quiz and attempt all questions within the given time. Read each MCQ carefully, select the correct option, and move forward to complete the quiz. Your score will appear at the end to help you check your preparation level..

Q1: Cumulative frequency is used to find which of the following?

A: Mean
B: Median
C: Mode
D: Range

Explanation: Cumulative frequency (\( cf \)) is required to find the median.

Q2: What will be the class mark of the class interval \( 10\text{–}25 \)?

A: \( 15 \)
B: \( 10 \)
C: \( 17.5 \)
D: \( 35 \)

Explanation: Class mark \( = \frac{10 + 25}{2} = 17.5 \).

Q3: Which is the correct empirical relationship between mean, median and mode?

A: 3 Median = Mode + 2 Mean
B: 2 Median = Mode + 3 Mean
C: Mode = 3 Mean – 2 Median
D: Median = 3 Mode + 2 Mean

Explanation: The standard relationship is 3 Median = Mode + 2 Mean.

Q4: Which of the following is a measure of central tendency?

A: Class interval
B: Cumulative frequency
C: Median
D: Class limit

Explanation: Mean, median and mode are measures of central tendency.

Q5: What will be the mean of the first five whole numbers?

A: \( 3 \)
B: \( 2.5 \)
C: \( 2 \)
D: \( 1.5 \)

Explanation: The numbers are \( 0, 1, 2, 3, 4 \). Mean \( = \frac{0+1+2+3+4}{5} = 2 \).

Q6: In the mode formula, what does \( h \) represent?

A: Size of the class interval
B: Lower limit of the class
C: Frequency of the modal class
D: Total frequency

Explanation: \( h \) represents the length (size) of the class interval.

Q7: If the mean is \( 12 \) and the mode is \( 15 \), what will be the median?

A: \( 12 \)
B: \( 13 \)
C: \( 14 \)
D: \( 15 \)

Explanation: Using the empirical formula: 3 Median = Mode + 2 Mean
3 Median = \( 15 + 2 \times 12 = 15 + 24 = 39 \)
Median = \( \frac{39}{3} = 13 \).

Q8: What is the formula for the assumed mean method?

A: \( \bar{x} = a + \frac{\sum f d}{\sum f} \)
B: \( \bar{x} = \frac{\sum x}{n} \)
C: \( \bar{x} = l + \frac{h}{f}(N/2 – cf) \)
D: \( \text{Mode} = l + \frac{f_1-f_0}{2f_1-f_0-f_2}h \)

Explanation: In this method, deviation \( d = x – a \) is taken.

Q9: What is the mode of the observations \( 2, 3, 4, 3, 5, 3, 1, 2, 3 \)?

A: \( 2 \)
B: \( 3 \)
C: \( 4 \)
D: \( 5 \)

Explanation: The frequency of \( 3 \) is the highest.

Q10: How is the cumulative frequency of the median class related to \( \frac{N}{2} \)?

A: Less than
B: Greater than
C: Equal to
D: Half of

Explanation: The cumulative frequency of the median class is greater than \( \frac{N}{2} \).

Q11: What is the median of the distribution \( 1, 3, 5, 7, 9 \)?

A: \( 3 \)
B: \( 4 \)
C: \( 5 \)
D: \( 7 \)

Explanation: Total number of terms is 5. The middle term (3rd term) is 5.

Q12: What is the lower limit of the class interval \( 40\text{–}50 \)?

A: \( 40 \)
B: \( 45 \)
C: \( 50 \)
D: \( 10 \)

Explanation: The lower limit is always the first value of the class.

Q13: If \( a = 10 \) and \( b = 20 \), what will be the arithmetic mean?

A: \( 1500 \)
B: \( 140 \)
C: \( 160 \)
D: \( 15 \)

Explanation: Arithmetic mean \( = \frac{a + b}{2} = \frac{10 + 20}{2} = 15 \).

Q14: In the mode formula, what does \( f_1 \) represent?

A: Frequency of the first class
B: Frequency of the modal class
C: Frequency of the following class
D: Total frequency

Explanation: \( f_1 \) is the frequency of the modal class.

Q15: What will be the effect on the mean if 5 is added to each term?

A: It will decrease by 5
B: It will remain unchanged
C: It will increase by 5
D: It will become 5 times

Explanation: Adding 5 to each term increases the mean by 5.

Quiz Results

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Class 10 Maths Chapter 13 Statistics MCQs Quiz

Chapter 13, ‘Statistics,’ is all about the collection, organization, presentation, and analysis of data. In this chapter, you will learn how to calculate the measures of central tendency—Mean, Median, and Mode—for grouped data. You will also learn how to construct a Cumulative Frequency Distribution table and draw ‘less than’ and ‘more than’ type Ogive graphs from it. These graphs help in understanding the data graphically and are used to find the median, which is a very important topic for the CBSE Class 10 Maths Quiz and board exams.

Conclusion

Practice is the key to success in a chapter like ‘Statistics.’ Our Class 10 Maths Chapter 13 Statistics MCQs Quiz is designed to make your practice more effective. This quiz will help you strengthen your grip on important topics like Mean, Median, and Mode and the construction of Ogive graphs. By solving these Statistics MCQs, you can understand the pattern of questions asked in the exam and identify your weak areas. Share this Free Online Statistics Quiz with your friends and help everyone excel in their exams!

FAQs on Class 10 Maths Chapter 13 Statistics MCQs Quiz

1. Question: How many marks from the chapter Statistics are asked in the board exam?
Answer: This chapter typically carries 7-8 marks in the CBSE board exam, including MCQs, short answer, and long answer questions.

2. Question: What are the most important topics in this chapter?
Answer: The most important topics are finding the mean, median, and mode for grouped data, and drawing and interpreting Ogive graphs.

3. Question: Is this Statistics quiz based on the NCERT syllabus?
Answer: Yes, our Statistics Class 10 quiz is fully based on the NCERT curriculum and the CBSE syllabus.

4. Question: What is the formula for finding the mean of grouped data?
Answer: The mean (x̄) of grouped data is calculated using the formula: Mean (x̄) = Σ(fi * xi) / Σfi, where ‘fi’ is the frequency and ‘xi’ is the class mark.

5. Question: What is an Ogive?
Answer: An Ogive is a graphical representation of a cumulative frequency distribution. It is useful for finding the median visually.

6. Question: Is this online quiz free?
Answer: Yes, this Free Online Statistics Quiz is completely free. You can take it anytime and anywhere for practice.

7. Question: How should I prepare this chapter for the board exam?
Answer: First, understand all the methods for finding mean, median, and mode. Then, solve the examples and exercise questions from the NCERT book. Finally, test your knowledge with our Statistics Online Test.

8. Question: What is the difference between a ‘less than’ and a ‘more than’ Ogive?
Answer: A ‘less than’ Ogive plots cumulative frequency against the upper limit of classes, while a ‘more than’ Ogive plots it against the lower limit.

9. Question: Does this quiz include questions on cumulative frequency?
Answer: Yes, this quiz includes important questions on the Cumulative Frequency Distribution Class 10 and its applications.

10. Question: What is the benefit of taking this online quiz?
Answer: This quiz helps you improve time management, understand the exam pattern, and get immediate feedback on your mistakes, which boosts your confidence for better performance.

Ace your board exams with our free Class 10 Maths Chapter 13 Statistics MCQs Quiz. This online test covers important questions on Mean, Median, Mode & Ogive from NCERT. Perfect for quick revision and boosting your confidence. Start practicing now!

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Statistics MCQs Quiz

Quiz Results

Class 10 Maths Chapter 13 Statistics MCQs Quiz

Conclusion

FAQs on Class 10 Maths Chapter 13 Statistics MCQs Quiz

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