The mean of prime numbers between 20 and 30 is:a) 26b) 27c) 25d) 28The correct answer is option 'A'. Can you explain this answer?

Question

Answer

There is only 2 prime number between 20 and 30 that is..23 and 29..
.

so mean=sum of observation /no of observation
mean=23+29/2
mean=52/2
so mean =26 answer.....

Answer

The answer is correct because between 20 and 30 prime number is 23 and 29 : the sum of 23 and 29 is 52 and there are two number so 52 is divide by 2 and answer is 26

Answer

Prime numbers between 20 and 30 are 23,29

mean=23+29/3

--->52/2=26

Answer

None are the answers of prime numbers

Answer

The mean of prime numbers between 20 and 30 is option 'A' which is 26. Let's break down the problem and explain why this is the correct answer.

Understanding the Problem:
We are given a range of numbers between 20 and 30 and we need to find the mean (average) of the prime numbers within this range. The mean is calculated by adding up all the numbers in a set and then dividing the sum by the total count of numbers.

Identifying the Prime Numbers:
To find the prime numbers between 20 and 30, we need to check each number within this range to see if it is divisible by any number other than 1 and itself. If a number has no divisors other than 1 and itself, it is considered a prime number.

Finding the Prime Numbers:
Let's check each number between 20 and 30 to determine if it is prime:

- 20 is divisible by 2 and 5, so it is not a prime number.
- 21 is divisible by 3 and 7, so it is not a prime number.
- 22 is divisible by 2 and 11, so it is not a prime number.
- 23 is only divisible by 1 and itself, so it is a prime number.
- 24 is divisible by 2, 3, 4, 6, 8, and 12, so it is not a prime number.
- 25 is divisible by 5, so it is not a prime number.
- 26 is divisible by 2 and 13, so it is not a prime number.
- 27 is divisible by 3 and 9, so it is not a prime number.
- 28 is divisible by 2, 4, 7, and 14, so it is not a prime number.
- 29 is only divisible by 1 and itself, so it is a prime number.
- 30 is divisible by 2, 3, 5, 6, 10, and 15, so it is not a prime number.

Calculating the Mean:
Now that we have identified the prime numbers within the range, which are 23 and 29, we can calculate their mean. Add these two numbers together: 23 + 29 = 52. Since we have two numbers, we need to divide the sum by 2 to find the mean: 52 ÷ 2 = 26.

Therefore, the mean of the prime numbers between 20 and 30 is 26, which corresponds to option 'A'.

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