
The GM of numbers 4, 5, 10, 20, 25 is
(a) 12.8
(b) 10
(c) 7.8
(d) none of these
Answer
534.6k+ views
1 likes
Hint: Here, we will use the formula for the geometric mean of a certain number of numbers. The geometric mean of ‘n’ numbers is given as:
Step-by-step answer:
The geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values. The geometric mean is defined as the nth root of the product of ‘n’ numbers, i.e. for a set of numbers , the geometric mean is defined as:
The symbol in the formula is the mathematical notation for product in the same way that the notation for summation is .
The central number in a geometric progression is also the geometric mean of a sequence of numbers.
Here, we have been given five numbers. The numbers are: 4, 5, 10, 20 and 25.
So, here n = 5.
On substituting these values in equation (1), we get:
Therefore, the geometric mean of the given numbers is 10.
Hence, option (b) is the correct answer.
Note: Students should note here that the middle term of the given set of numbers is also 10. It means that the middle term in any set of numbers is their geometric mean. Students should remember the formula used to find the geometric mean to avoid unnecessary mistakes.
Step-by-step answer:
The geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values. The geometric mean is defined as the nth root of the product of ‘n’ numbers, i.e. for a set of numbers
The
The central number in a geometric progression is also the geometric mean of a sequence of numbers.
Here, we have been given five numbers. The numbers are: 4, 5, 10, 20 and 25.
So, here n = 5.
On substituting these values in equation (1), we get:
Therefore, the geometric mean of the given numbers is 10.
Hence, option (b) is the correct answer.
Note: Students should note here that the middle term of the given set of numbers is also 10. It means that the middle term in any set of numbers is their geometric mean. Students should remember the formula used to find the geometric mean to avoid unnecessary mistakes.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
School Full course for MAHARASHTRABOARD students
₹33,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 10 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Gautam Buddha was born in the year A581 BC B563 BC class 10 social science CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE
