Q1
Mode and Mean of a data are 15x and 18x, respectively. Then the median of the data :
Answer: C
A written solution for this question isn't available yet.
Mathematics questions on Statistics
Actual Mathematics questions on this topic from past papers, newest first. Each links back to its paper.
Q2
Find the missing frequency 'f' in the following table, if the mean of the given data is 18. Hence find the mode.
Answer: 0
19.95 approx.
Q3
What is the mode of a data if median and mean of the same data are 9·6 and 10·5, respectively ?
Answer: 0
A written solution for this question isn't available yet.
Q4
The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the mean and mode of the data :
Answer: 0
Mean = 137.06 units and Mode = 135.77 units
Q5
The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table :
Find the median length of the leaves.
Answer: 0
146.75 mm
Q6
Find the Mean and Mode of the following frequency distribution:
Answer: 1
35.625
Q7
Find the mean and median for the following data :
Answer: 0
270/7 = 38.57 approx.
Q8
Find the Mean and Mode of the following data :
Answer: 0
18.35
Q9
If the mean of 2, 9, x + 6, 2x + 3, 5, 10, 5 is 7, then the value of x is:
Answer: A
A written solution for this question isn't available yet.
Q10
Case Study based question
A lighthouse stands tall on a cliff by the sea, watching over ships that pass by. One day a ship is seen approaching the shore and from the top of the lighthouse, the angles of depression of the ship are observed to be 30° and 45° as it moves from point P to point Q. The height of the lighthouse is 50 metres.
Based on the information given above, answer the following questions:
(i) Find the distance of the ship from the base of the lighthouse when it is at point Q, where the angle of depression is 45°.
(ii) Find the measures of ∠PBA and ∠QBA.
(iii) (a) Find the distance travelled by the ship between points P and Q.
OR
(b) If the ship continues moving towards the shore and takes 10 minutes to travel from Q to A, calculate the speed of the ship in km/h, from Q to A.
Answer: 1
A written solution for this question isn't available yet.
Q11
Case Study based question
The India Meteorological Department observes seasonal and annual rainfall every year in different sub-divisions of our country. It helps them to compare and analyse the results.
The table below shows sub-divisions wise seasonal (monsoon) rainfall (in mm) in 2023.
Based on the information given above, answer the following questions:
(i) Write the modal class.
(ii) (a) Find the median of the given data.
OR
(b) Find the mean rainfall in the season.
(iii) If a sub-division having at least 800 mm rainfall during monsoon season is considered a good rainfall sub-division, then how many sub-divisions had good rainfall?
Answer: 1
A written solution for this question isn't available yet.
Q12
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 18, then the fourth observation is :
Answer: 0
A written solution for this question isn't available yet.
Q13
The cumulative frequency for calculating median is obtained by adding the frequencies of all the:
Answer: C
A written solution for this question isn't available yet.
Q14
If mean and median of given set of observations are 10 and 11 respectively, then the value of mode is:
Answer: C
A written solution for this question isn't available yet.
Q15
The following table shows the number of patients of different age group who were discharged from the hospital in a particular month:
Find the 'mean' and the 'mode' of the above data.
Answer: 1
36.82 years
Q16
If mean and mode of given set of observations are 10 and 13 respectively, then the value of median is :
Answer: 0
A written solution for this question isn't available yet.
Q17
If mode and median of given set of observations are 13 and 11 respectively, then the value of mean is :
Answer: 0
A written solution for this question isn't available yet.
Q18
If x median + y mean = z mode; is the empirical relationship between mean, median and mode, then the value of x + y + z is :
Answer: C
A written solution for this question isn't available yet.
Q19
Following data shows the marks obtained by 100 students in a class test :
The median will be the average of which two observations?
Answer: C
A written solution for this question isn't available yet.
Q20
Medical check-up was carried out for 35 students of a class and their weights were recorded as follows:
Find the difference between the mean weight and the median weight.
Answer: 0
0.7 kg
Q21
The following table gives the daily income of 50 cab drivers of particular city:
Find the mean income and the modal income.
Answer: 0
A written solution for this question isn't available yet.
Q22
During a medical checkup, height of 35 students of a class were recorded as follows:
Find the difference between the mean height and median height.
Answer: 0
A written solution for this question isn't available yet.
Q23
If the mode of some observations is 10 and sum of mean and median is 25, then the mean and median, respectively, are ______.
Answer: B
A written solution for this question isn't available yet.
Q24
If the maximum number of students has obtained 52 marks out of 80, then ______.
Answer: C
A written solution for this question isn't available yet.
Q25
Following distribution shows the marks of 230 students in a particular subject. If the median marks are 46, then find the values of x and y.
Answer: 0
A written solution for this question isn't available yet.