These NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 Questions and Answers are prepared by our highly skilled subject experts.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.2
Question 1.
The following table shows the ages of the patients admitted in a hospital during a year.
Solution:
Here the maximum class frequency is 23, and the class corresponding this frequency is 35-45. So, the modal class 35 – 45.
Here, modal class = 35 – 45, l = 35, class size = (h) = 10
∴ The mode of the given data is 36.8 years.
Table for mean
Question 2.
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
Determine the modal lifetimes of the components.
Solution:
Here the maximum class frequency is 61, and the class corresponding to this frequency is 60 – 80. So, the modal class is 60 – 80.
Now, lower limit (l) of modal class = 60, class size (h) = 20, frequency (f) = 61
Frequency (f0) of class preceding the modal class = 52
Frequency (f2) of class succeeding the modal class = 38
∴ Modal lifetimes of the components = 65.625 hours.
Question 3.
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:
Solution:
Question 4.
The following distribution gives the state-wise teacher- student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures
Solution:
Question 5.
The given distribution shows the number of runs scored by some top batsmen of the world in one – day international cricket matches.
Find the mode of the data.
Solution:
Question 6.
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 table given below. Find the mode of the data:
Solution:
