Statistics Questions

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Statistics are studied in CBSE across standards IX, X and XI. Even basic statistics questions demand a certain degree of conceptual clarity and thorough practice. Practising more and more problem will equip students with the necessary skill to ace the examination and score significantly higher. 


Before proceeding to solve a few statistics important question, it is important to recapitulate the concept inherent to this branch of Mathematics. Statistics comprises of such mathematical analysis which undertakes quantification, representation and concluding a given set of data.  


Simple Statistics Questions

Here are some of the basic statistics questions and answers to solve and practice. 


Question 1: For Which Value of ‘a’, Mode of the Following Data is 3: 

4, 5, 6, 3, 5, 4, 3, 5, 6, 3, 3

(a) 5 

(b) 6

(c) 3

(d) 4

Solution: The answer is option (c) 3. 

Mode amounts to be the most common value within a given data set. Within the set, 3 appear four times which makes it mode in the series.  


Question 2: Value of Mean and Mode are Given as 30 and 15, Respectively. Value of Median is -

(a) 25

(b) 26

(c) 24.5

(d) 22.5

Solution: The answer is option (a) 25. The relation between mean, median and mode is, Mean – Mode = 3 (Mean – Median). Substituting the value, equation becomes 30 – 15 = 3 (30 – Median). On solving, median comes to 25.


Question 3: Which of the Following Holds for Mode?

(a) It is the most frequent value 

(b) It is somewhere in the middle in terms of frequency 

(c) It is the least frequent value 

(d) None of the above is correct 

Solution: The answer is option (a). The definition of mode indicates that it is the repeatedly occurring value within a given data series. 


Question 4: Which Among the Following Cannot be Represented Graphically?

(a) Median 

(b) Mean 

(c) Mode 

(d) None of the above option 

Solution: The answer is option (b). Mean is a specific value derived from the sum of all value and divided by the number of times of values. Given that this value is single and cannot be made to undergo comparison with other values, its graphical representation is not feasible. 


Question 5: In Case of Computation of Mean within a Grouped Data, the Assumption is that Frequencies are -

(a) Centered at lower limit among classes

(b) Centered at upper limit among classes 

(c) Evenly placed across all classes

(d) Centered within class marks among classes 

Solution: The answer is option (d). In the computation of mean of a grouped data, the frequencies are always located at the centre within the class marks. 


Question 6: Which of the Following is Determined by Constructing a Cumulative Frequency Table?

(a) Median 

(b) Mean 

(c) Mode 

(d) None of the above option 

Solution: The answer is option (a). Median of a series is determined with the help of the cumulative frequency table. 

Practising basic Statistics questions is imperative to score high in examination. Moreover, all the queries that you may have related to this topic should be clarified at the earliest. To that effect, you can avail Vedantu’s online classes and have all your queries answered. Download the app today!

FAQs (Frequently Asked Questions)

1. What is the Statistics Syllabus in CBSE Class 10?

Ans. The syllabus of Statistics in CBSE class 10 includes – (1) Introduction to Statistics, (2) Mean (Grouped Data), (3) Mode (Grouped Data), (4) Median (Grouped Data), and (5) Graphical representation of cumulative frequency distribution. 


For preparing questions on Statistics with answers, it is essential to be familiar with the syllabus at the beginning. It would ensure that no topic is missed in the course of preparation. 

2. What is the Method to Prepare Statistics Basic Questions for CBSE Class?

Ans. Before starting with the preparation of statistics theory questions and answers, a student should first determine the method of study. It is better to start with possible questions as that would allow understanding important topics requiring more attention and focus.   


Also, take note of the various marks of questions in basic statistics question. For instance, questions can be of 3 marks, 2 marks or even 1 mark. The answers to these questions have to be prepared following the marks allotted to each question. 

3. What are the Different Models Covered in Common Statistics Questions?

Ans. Various models which may be included in statistics theory questions are – (1) mean, (2) regression analysis, (3) skewness, (4) kurtosis, and (5) variance, among others. 


Students should also be aware that there are different methods of description of data. Some of those methods include mean, median, mode, range etc. 

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