Question 1.
The following table shows the ages of the patients admitted in a hospital during a year.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 1
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
Solution:
For Mode:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 2
For Mean:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 3
We conclude that the maximum number of patients in the hospital are of the age 36.8 years. While on an average the age of patient admitted to the hospital is 35.37 years.

Question 2.
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 4
Determine the modal lifetimes of the components.
Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 5

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:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 6
Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 7

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
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 8
Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 9
Hence, we conclude that most states/U.T. have a student teacher ratio of 30.6 and on an average this ratio is 29.2.

Question 5.
The given distribution shows the number of runs scored by some top batsmen of the world in one – day international cricket matches.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 10
Find the mode of the data.
Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 11

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:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 12
Solution:
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.2 13