What is the difference between the mean and median of the first four prime numbers that are more than 4?
well, the numbers are 5,7,11,13
I'm sure you can figure the mean and median.
Mean=9
Median=11
Is it right?
Then the difference between them is -2.
But here in the answer sheet the ans is 0!!im really confused
since there is an even number of values, the median is the average of the two center values: 9, not 11
To find the difference between the mean and median of the first four prime numbers that are more than 4, we need to first determine the four prime numbers that meet this criteria.
Step 1: Identify Prime Numbers More Than 4
We start with the number 5, which is the first prime number greater than 4. We continue checking subsequent numbers for primality until we have found 4 prime numbers.
So, the first four prime numbers greater than 4 are:
5, 7, 11, 13
Step 2: Calculate the Mean
To find the mean of these numbers, we sum them up and divide by the total count.
Mean = (5 + 7 + 11 + 13) / 4 = 36 / 4 = 9
Step 3: Calculate the Median
To find the median, we arrange the numbers in ascending order and find the middle value. If there is an even count of numbers, we average the middle two.
Arranging the prime numbers in ascending order: 5, 7, 11, 13
The median is the middle value: 7 (since it's the second number in the list)
Step 4: Calculate the Difference
To find the difference between the mean and median, subtract the median from the mean.
Difference = Mean - Median = 9 - 7 = 2
Therefore, the difference between the mean and median of the first four prime numbers that are more than 4 is 2.