Title maths-class-x-chapter-13-statistics-practice-paper-12.pdf ✅

Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 - PM SHRI KENDRIYA VIDYALAYA GACHIBOWLI,GPRA CAMPUS,HYD–32 PRACTICE PAPER 12 (2023-24) CHAPTER 13 STATISTICS SUBJECT: MATHEMATICS MAX. MARKS : 40 CLASS : X DURATION : 11⁄2 hrs General Instructions: (i). All questions are compulsory. (ii). This question paper contains 20 questions divided into five Sections A, B, C, D and E. (iii). Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks each. Section C comprises of 3 questions of 3 marks each. Section D comprises of 1 question of 5 marks each and Section E comprises of 2 Case Study Based Questions of 4 marks each. (iv). There is no overall choice. (v). Use of Calculators is not permitted SECTION – A Questions 1 to 10 carry 1 mark each. 1. For the following distribution: Class 0-5 5-10 10-15 15-20 20-25 Frequency 10 15 12 20 9 the sum of lower limits of the median class and modal class is (a) 15 (b) 25 (c) 30 (d) 35 2. If the difference of Mode and Median of a data is 24, then the difference of median and mean is (a) 8 (b) 12 (c) 24 (d) 36 3. The mean and mode of a frequency distribution are 28 and 16 respectively. The median is (a) 22 (b) 23.5 (c) 24 (d) 24.5 4. The runs scored by a batsman in 35 different matches are given below: Runs Scored 0-15 15-30 30-45 45-60 60-75 75-90 Frequency 5 7 4 8 8 3 The lower limit of the median class is (a) 15 (b) 30 (c) 45 (d) 60 5. The median class of the following data is: Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 No. of students 8 10 12 22 30 18 (a) 20 – 30 (b) 30 – 40 (c) 40 – 50 (d) 50 – 60 6. For the following distribution: Marks Below 10 Below 20 Below 30 Below 40 Below 50 Below 60 No. of Students 3 12 27 57 75 80 the modal class is (a) 10 – 20 (b) 20 – 30 (c) 30 – 40 (d) 50 – 60 7. For the following distribution: Class 0-5 6-11 12-17 18-23 24-29 Frequency 13 10 15 8 11 the upper limit of the median class is (a) 18.5 (b) 20.5 (c) 25.5 (d) 17.5
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 2 - 8. If the mean of the following distribution is 2.6, then the value of y is Variable (x) 1 2 3 4 5 Frequency 4 5 y 1 2 (a) 3 (b) 8 (c) 13 (d) 24 In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true. 9. Assertion (A): The arithmetic mean of the following given frequency distribution table is 13.81. Marks 2.5 – 5.5 5.5 – 8.5 8.5 – 11.5 11.5 – 14.5 14.5 – 17.5 17.5 – 20.5 No. of Students 7 10 15 20 25 30 Reason (R): Mean = ∑fx / ∑f 10. Assertion (A): If the value of mode and mean is 60 and 66 respectively, then the value of median is 64. Reason (R): Median = (mode + 2 mean)/2 SECTION – B Questions 11 to 14 carry 2 marks each. 11. Calculate mode of the following data: Marks 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100 No. of Students 5 10 12 6 3 12. Calculate median marks of the following data: Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 No. of Students 2 12 22 8 6 13. Calculate mode of the following data: Marks 0 – 6 6 – 12 12 – 18 18 – 24 24 – 30 No. of Students 7 5 10 12 6 14. Find the mean of the following distribution: Class 3 – 5 5 – 7 7 – 9 9 – 11 11 – 13 Frequency 5 10 10 7 8 SECTION – C Questions 15 to 17 carry 3 marks each. 15. Daily wages of 110 workers, obtained in a survey, are tabulated below: Daily Wages (in Rs. ) 100-120 120-140 140-160 160-180 180-200 200-220 220-240 Number of Workers 10 15 20 22 18 12 13 Compute the mean daily wages and modal daily wages of these workers. 16. The table below shows the salaries of 280 persons: Salary (in thousand Rs.) 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50 No. of persons 49 133 63 15 6 7 4 2 1 Calculate the median salary of the data.
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 3 - 17. The arithmetic mean of the following frequency distribution is 50. Find the value of p. Class 0 – 20 20 – 40 40 – 60 60 – 80 80 – 100 frequency 17 p 32 24 19 SECTION – D Questions 18 carry 5 marks. 18. The median of the following data is 868. Find the values of x and y, if the total frequency is 100 Class Frequency 800 – 820 7 820 – 840 14 840 – 860 x 860 – 880 25 880 – 900 y 900 – 920 10 920 – 940 5 OR The distribution below gives the makes of 100 students of a class, if the median makes are 24, find the frequencies f1 and f2 Marks 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40 No. of students 4 6 10 f1 25 f2 18 5 SECTION – E (Case Study Based Questions) Questions 19 to 20 carry 4 marks each. 19. The COVID-19 pandemic, also known as the coronavirus pandemic, is an ongoing pandemic of coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). It was first identified in December 2019 in Wuhan, China. During survey, the ages of 80 patients infected by COVID and admitted in the one of the City hospital were recorded and the collected data is represented in the less than cumulative frequency distribution table. Age(in year) Below 15 Below 25 Below 35 Below 45 Below 55 Below 65 No. of patients 6 17 38 61 75 80 Based on the above information, answer the following questions. (a) Find the modal class interval. [1] (b) Find the median class interval [1] (c) Find the modal age of the patients admitted in the hospital. [2] OR (c) Find the median age of the patients admitted in the hospital. [2] 20. Overweight and obesity may increase the risk of many health problems, including diabetes, heart disease, and certain cancers. The basic reason behind is the laziness, eating more junk foods and less
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 4 - physical exercise. The school management give instruction to the school to collect the weight data of each student. During medical check of 35 students from Class X- A, there weight was recorded as follows: Weight (in kg) No. of Students Less than 38 0 Less than 40 3 Less than 42 5 Less than 44 9 Less than 46 14 Less than 48 28 Less than 50 32 Less than 52 35 (a) Find the median class of the given data. (1) (b) Find the modal class of the given data. (1) (c) Calculate the median weight of the given data. (2) OR (c) Find the mean of the given data. (2)