CBSE 10th Maths Statistics Important Question 2025

CBSE 10th Maths Statistics Important Question 2025: Central Board of Secondary Education (CBSE) will conduct the CBSE 10th Maths Exam 2025 on March 10, 2025. Students who are appearing for the board examination for Class 10 must be preparing all the important topics right now. They must know that the CBSE 10th Maths Statistics 2025 is one of the most important topics which has high weightage in the examination. Therefore, the CBSE 10th Maths Statistics Important Question 2025 has been provided here for the students. The Maths paper for the board examination will be based on 80 marks in total which must be completed between 10:30 AM to 1:30 PM.

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CBSE 10th Maths Statistics Important Question 2025

Check the detailed CBSE 10th Maths Statistics Important Question 2025 given below:

1. If the difference of mode and median of a data is 24, then the difference of median and mean is: (A) 8  (B) 24  (C) 12  (D) 36
2. The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set:
   (A) is increased by 2.  (B) is decreased by 2.  (C) is two times the original median.  (D) remains the same as that of the original set.
3. While computing mean of grouped data, we assume that the frequencies are:
   (A) evenly distributed over all the classes
   (B) centred at the class marks of the classes
   (C) centred at the upper limits of the classes
   (D) centred at the lower limits of the classes
4. Mark the correct choice as:
   (A) Both A and Rare true and R is the correct explanation of A
   (B) Both A and R are true but R is NOT the correct explanation of A
   (C) A is true but R is false
   (D) A is false but R is True
   Assertion (A): Consider the following data: The difference of the upper limit of the median class and the lower limit of the modal class is 20.
   Reason (R): The median class and modal class of grouped data always be different.
   

   f	4	5	13	20	14	7	4
   Classes	65-85	85-105	105-125	125-145	145-165	165-185	185-205

5. Mark the correct choice as:
   (A) Both A and Rare true and R is the correct explanation of A
   (B) Both A and R are true but R is NOT the correct explanation of A
   (C) A is true but R is false
   (D) A is false but R is True
   Assertion (A): If the median of a series exceeds the mean by 3, then mode exceeds the mean by 10.
   Reason (R): If mode = 12.4 and mean = 10.5, then the median is 11.13
6. Read the following data and answer any four questions from Q1 to Q4. A stopwatch was used to find the time that it took a group of students to run 100m race.
   

   Time	0-20	20-40	40-60	60-80	80-100
   No. of Students	8	10	13	6	3

   (i).Estimate the time taken by a student to finish a race.
   (ii).How many students finished the race within 1 minute?
   (iii). What is the sum of lower limit of median class and modal class?
7. For the following frequency distributions, find the mode:
   

   f	12	5	14	8	9
   Classes	25-30	30-25	35-40	40-45	45-50

8. The median of the following data is 16.Find the missing frequencies a and b, if the total of the frequencies is 70.
   

   Classes	0-5	5-10	10-15	15-20	20-25	25-30	20-35	35-40
   f	12	a	12	15	b	6	6	4

9. The median of the following data is 525.Find the value of x and y, if total frequency is 100.
   

   f	2	5	x	12	17	20	y	9	7	4
   C-I	0-100	100-200	200-300	300-400	400-500	500-600	600-700	700-800	800-900	900-1000

10. Yoga is an ancient practice which is a form of meditation and exercise. By practising yoga, we not even make our body healthy but also achieve inner peace and calmness. The International Yoga Day is celebrated on 21st of June every year since 2015. To promote Yoga, Green Park Society in Pune organised a 7-day Yoga camp in their society. The number of people of different age groups who enrolled for this camp is given as follows: Based on the above, find the following:
    (i) Find the median age of people enrolled for the camp. (ii) If x more people of age group 65-75 had enrolled for the camp, the mean age would have been 58. Find the value of x.
    (ii) If x more people of age group 65-75 had enrolled for the camp, the mean age would have been 58. Find the value of x.
    

    f	8	10	15	25	40	24	18
    Classes	15-25	25-35	35-45	45-55	55-65	65-75	75-85

The Statistics chapter in the CBSE 10th Maths 2025, students are also required to prepare for the Algebra, Geometry, and Trigonometry respectively. Students must note that by scoring well in the Mathematics examination, the overall aggregrate in the CBSE 10th Board Examination 2025 will significantly increase.

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