Statistics

CBSE Class 10 Mathematics · 107 board questions from this chapter; 106 listed below, 2022–2026

• While calculating mean of a grouped frequency distribution, step deviation method was used ((x-a)/h=u). It was found that x̄=64,…2026
• The median and mode of a distribution are 25 · 2 and 26 · 1 respectively. The mean of the distribution is:2026
• If the mean and mode of a data are 12 and 21 respectively, then its median is:2026
• The mean and median of a frequency distribution are 43 and 43 · 4 respectively. The mode of the distribution is:2026
• The dimensions of a window are 156 cm × 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size.…2026
• The median of the following data is 137. Find the values of x and y, given that total of frequencies is 68. OR Find mean and mode…2026
• If the median of the following distribution is 32•5, then find the values of x and y.2026
• The marks obtained by 80 students of class X in a mock test of Mathematics are given below in the table. Find median and the mode…2026
• The mean of the following distribution is 53. Find the missing frequency p. Class Interval: 0-20 20-40 40-60 60-80 80-100…2026
• Find the mean and the mode of the following frequency distribution:2026
• Find mean and mode of the following frequency distribution: OR The median of the following data is 32.5, find the missing…2026
• Find mean and mode of the following frequency distribution: OR If the median of the distribution given below is 28.5, find the…2026
• In a flight of 600 km, an aircraft slowed down its speed due to bad weather. Its average speed for the trip reduced by 200 km/h…2026
• The monthly expenditure on fruits in 200 families of a Housing Society is given below. Find the value of x and also find the mode…2026
• The mean of the following frequency distribution is 28. If sum of all frequencies is 100, then find the values of p and q: OR…2026
• An SBI health insurance agent found the following data for distribution of ages of 100 policy holders. The health insurance…2026
• The median of the following data is 50 and sum of all frequencies is 90: Find the values of p and q. OR Find mean and mode of the…2026
• The mean of the following frequency distribution is 35. Find the values of x and y, if the sum of frequencies is 25:2026
• Find the mean and mode of the following frequency distribution: Class Interval: 400-450 450-500 500-550 550-600 600-650 650-700…2026
• What is the mode of a data if median and mean of the same data are 9 · 6 and 10 · 5, respectively?2025
• The mean of seven observations is 17. If the mean of the first four observations is 15 and that of the last four observations is…2025
• If mode and median of given set of observations are 13 and 11 respectively, then the value of mean is:2025
• Mode and Mean of a data are 15x and 18x, respectively. Then the median of the data is:2025
• The cumulative frequency for calculating median is obtained by adding the frequencies of all the:2025
• If mean and median of given set of observations are 10 and 11 respectively, then the value of mode is:2025
• If mean and mode of given set of observations are 10 and 13 respectively, then the value of median is:2025
• If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median respectively are2025
• If the mean of 2,9, x+6,2 x+3,5,10,5 is 7, then the value of x is:2025
• If x median + y mean = z mode; is the empirical relationship between mean, median and mode, then the value of x+y+z is2025
• If the maximum number of students has obtained 52 marks out of 80, then2025
• Following data shows the marks obtained by 100 students in a class test: The median will be the average of which two observations?2025
• Following data shows the number of family members living in different bungalows of a locality: If the median number of members is…2025
• The following table shows the number of traffic challans issued in the month of April by the traffic police: Find the 'mean' and…2025
• During a medical checkup, height of 35 students of a class were recorded as follows: Find the difference between the mean height…2025
• The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the mean…2025
• Find the mean and median for the following data:2025
• The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the…2025
• Following table shows the absentees record of 40 students in an academic year: Find the 'mean' and the 'mode' of the above data.2025
• The following table gives the daily income of 50 cab drivers of a particular city: Find the mean income and the modal income.2025
• Find the Mean and Mode of the following data:2025
• The population of lions was noted in different regions across the world in the following table: If the median of the given data…2025
• Find the missing frequency 'f' in the following table, if the mean of the given data is 18. Hence find the mode.2025
• Medical check-up was carried out for 35 students of a class and their weights were recorded as follows: Find the difference…2025
• Following distribution shows the marks of 230 students in a particular subject. If the median marks are 46, then find the values…2025
• The following table shows the number of patients of different age group who were discharged from the hospital in a particular…2025
• Find the Mean and Mode of the following frequency distribution:2025
• The India Meteorological Department observes seasonal and annual rainfall every year in different sub-divisions of our country.…2025
• For the data 2,9, x+6,2 x+3,5,10,5; if the mean is 7, then the value of x is:2024
• If the difference of mode and median of a data is 24, then the difference of its median and mean is:2024
• The mean of five numbers is 15. If we include one more number, the mean of six numbers becomes 17. The included number is:2024
• For some data x_1, x_2, … … x_n with respective frequencies f_1, f_2, ….. f_n, the value of Σ_1^n f_i(x_i-x̄) is equal to:2024
• If the mean of five observations x, x+2, x+4, x+6 and x+8 is 11, then the value of x is:2024
• If value of each observation in a data is increased by 2, then median of the new data2024
• The middle most observation of every data arranged in order is called:2024
• The mean of five observations is 15. If the mean of first three observations is 14 and that of the last three observations is 17,…2024
• After an examination, a teacher wants to know the marks obtained by maximum number of the students in her class. She requires to…2024
• If the mean and mode of a data are 24 and 12 respectively, then its median is:2024
• Three bells toll at intervals of 9, 12 and 15 minutes respectively. If they start tolling together, after what time will they…2024
• In a test, the marks obtained by 100 students (out of 50 ) are given below: Marks obtained: 0-10 10-20 20-30 30-40 40-50 Number…2024
• In a teachers' workshop, the number of teachers teaching French, Hindi and English are 48, 80 and 144 respectively. Find the…2024
• In a test, the marks obtained by 100 students (out of 50) are given below: Marks obtained: 40-50 Find the mean marks of the…2024
• In a test, the marks obtained by 100 students (out of 50 ) are given below: Find the mean marks of the students.2024
• The following distribution shows the daily pocket allowance of children of a locality. The mean daily pocket allowance is ₹ 36 ·…2024
• The following table shows the ages of the patients admitted in a hospital during a year: Find the mode and mean of the data given…2024
• Vocational training complements traditional education by providing practical skills and hands-on experience. While education…2024
• Activities like running or cycling reduce stress and the risk of mental disorders like depression. Running helps build endurance.…2024
• If the mean and the mode of a distribution are 15 and 18 respectively, then the median of the distribution is:2023
• The distribution below gives the marks obtained by 80 students on a test: The modal class of this distribution is:2023
• The empirical relation between the mode, median and mean of a distribution is:2023
• If the mean and the median of a data are 12 and 15 respectively, then its mode is:2023
• The distribution below gives the marks obtained by 80 students on a test: The modal class of this distribution is:2023
• For the following distribution: Class Class Frequency Frequency 10 15 12 20 9 The sum of lower limits of median class and modal…2023
• If the value of each observation of a statistical data is increased by 3, then the mean of the data2023
• For the following distribution: The modal class is:2023
• If every term of the statistical data consisting of n terms is decreased by 2, then the mean of the data:2023
• Find the mean of the following distribution:2023
• Jaya scored 40 marks in a test getting 3 marks for each correct answer and losing 1 mark for each incorrect answer. Had 4 marks…2023
• Find the mean of the following frequency distribution:2023
• The mode of the following frequency distribution is 55. Find the missing frequencies 'a' and 'b'.2023
• A train travels at a certain average speed for a distance of 54 km and then travels a distance of 63 km at an average speed of 6…2023
• A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the…2023
• 250 apples of a box were weighed and the distribution of masses of the apples is given in the following table: (i) Find the value…2023
• The monthly expenditure on milk in 200 families of a Housing Society is given below: Find the value of x and also, find the…2023
• India meteorological department observes seasonal and annual rainfall every year in different sub-divisions of our country. It…2023
• The mode of a grouped frequency distribution is 75 and the modal class is 65-80. The frequency of the class preceding the modal…2022
• Find the mode of the given frequency distribution:2022
• Find the mode of the following frequency distribution:2022
• Find the mean of the following frequency distribution:2022
• Find the median of the following distribution:2022
• If mode of the following frequency distribution is 55, then find the value of x.2022
• For the following frequency distribution, find the mode:2022
• If the mean of the following frequency distribution is 18, then find the missing frequency ' f '.2022
• Heights of 50 students of class X of a school are recorded and following data is obtained: Find the median height of the students.2022
• For what value of x, is the median of the following frequency distribution 34•5?2022
• The percentage of marks obtained by 100 students in an examination are given below: Determine the median percentage of marks.2022
• For what value of x, is the median of the following frequency distribution 34•5?2022
• If the median of the following data is 33 then, find the value of m:2022
• The weights (in kg) of 50 wild animals of a National Park were recorded and the following data was obtained: Find the mean weight…2022
• The mean of the following frequency distribution is 25. Find the value of f. OR Find the mean of the following data using assumed…2022
• Heights of 50 students of class X of a school are recorded and following data is obtained: Find the median height of the…2022
• The following table gives the production yield of wheat of farms of a village: Find the mean production yield, using assumed mean…2022
• For the following frequency distribution, find the median:2022
• Following is the daily expenditure on lunch by 30 employees of a company: Find the mean daily expenditure of the employees.2022
• Find the mean of the following frequency distribution:2022
• Yoga is an ancient practice which is a form of meditation and exercise. By practising yoga, we not even make our body healthy but…2022
• Yoga is an ancient practice which is a form of meditation and exercise. By practising yoga, we not even make our body healthy but…2022

Answers come from CBSE’s own marking schemes. How we source them.