CLASS X Math - Previous Year Question
Statistics
Q1. The empirical relation between the mode, median and mean of a
distribution is: [2023] 1 Marks
(a) Mode = 3 Median-2 Mean (b) Mode = 3 Mean-2 Median
(c) Mode = 2 Median-3 Mean (d) Mode = 2 Mean-3 Median
Q2. If the mean of the first n natural numbers is 15, then find n. [2020] 1 Marks
Q3. The mean of the following data is 18.75. Find the value of P: [2017] 2 Marks
Class marks (𝑥𝑖 ) 10 5 P 25 30
Frequency (𝑓𝑖 ) 5 10 7 8 2
Q4. Find the mean of the following distribution: [2020] 2 Marks
Class 3-5 5-7 7-9 9-11 11-13
Frequency 5 10 10 7 8
OR
Find the mode of the following data: [2020] 2 Marks
Class 0-20 20-40 40-60 60-80 80-100 100-120 120-140
Frequency 6 8 10 12 6 5 3
Q5. If mode of the following frequency distribution is 55, find the value of 𝑥.
[2022] 2 Marks
Class 0-15 15-30 30-45 45-60 60-75 75-90
Frequency 10 7 𝑥 15 10 12
Q6. The table below shows the salaries of 280 persons: [2018] 3 Marks
Salary (in 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-
thousand rs) 50
No. of 49 133 63 15 6 7 4 2 1
person
Calculate the median salary of the data.
Statistics
Q1. The empirical relation between the mode, median and mean of a
distribution is: [2023] 1 Marks
(a) Mode = 3 Median-2 Mean (b) Mode = 3 Mean-2 Median
(c) Mode = 2 Median-3 Mean (d) Mode = 2 Mean-3 Median
Q2. If the mean of the first n natural numbers is 15, then find n. [2020] 1 Marks
Q3. The mean of the following data is 18.75. Find the value of P: [2017] 2 Marks
Class marks (𝑥𝑖 ) 10 5 P 25 30
Frequency (𝑓𝑖 ) 5 10 7 8 2
Q4. Find the mean of the following distribution: [2020] 2 Marks
Class 3-5 5-7 7-9 9-11 11-13
Frequency 5 10 10 7 8
OR
Find the mode of the following data: [2020] 2 Marks
Class 0-20 20-40 40-60 60-80 80-100 100-120 120-140
Frequency 6 8 10 12 6 5 3
Q5. If mode of the following frequency distribution is 55, find the value of 𝑥.
[2022] 2 Marks
Class 0-15 15-30 30-45 45-60 60-75 75-90
Frequency 10 7 𝑥 15 10 12
Q6. The table below shows the salaries of 280 persons: [2018] 3 Marks
Salary (in 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-
thousand rs) 50
No. of 49 133 63 15 6 7 4 2 1
person
Calculate the median salary of the data.
