The Mean Of The First 7 Multiple Of Smallest Composite Number Is K, Then Find The Median Of The Following Numbers. 10, K, 13, 12, 16, 14 And 18
**The Mean of the First 7 Multiples of the Smallest Composite Number: A Discussion**
A composite number is a positive integer that has at least one positive divisor other than one or itself. In other words, it is a number that is not prime. The smallest composite number is 4, which is the product of 2 and 2.
The First 7 Multiples of 4
To find the mean of the first 7 multiples of 4, we need to calculate the first 7 multiples of 4. The first 7 multiples of 4 are 4, 8, 12, 16, 20, 24, and 28.
Calculating the Mean
The mean of a set of numbers is the sum of the numbers divided by the number of items in the set. In this case, the mean of the first 7 multiples of 4 is:
(4 + 8 + 12 + 16 + 20 + 24 + 28) / 7 = 112 / 7 = 16
The Mean is K
We are given that the mean of the first 7 multiples of the smallest composite number is K. Since we have calculated the mean of the first 7 multiples of 4, we can say that K = 16.
The Given Numbers
We are given a set of numbers: 10, K, 13, 12, 16, 14, and 18. We know that K = 16, so we can substitute this value into the set of numbers.
The Set of Numbers with K
The set of numbers with K is: 10, 16, 13, 12, 16, 14, and 18.
Finding the Median
The median of a set of numbers is the middle value when the numbers are arranged in order. To find the median, we need to arrange the numbers in order and find the middle value.
Arranging the Numbers in Order
The numbers in order are: 10, 12, 13, 14, 16, 16, 18.
Finding the Median
Since there are an odd number of numbers (7), the median is the middle value, which is the 4th number. The 4th number is 14.
Conclusion
In conclusion, the median of the given numbers is 14.
Q: What is the smallest composite number? A: The smallest composite number is 4.
Q: What are the first 7 multiples of 4? A: The first 7 multiples of 4 are 4, 8, 12, 16, 20, 24, and 28.
Q: What is the mean of the first 7 multiples of 4? A: The mean of the first 7 multiples of 4 is 16.
Q: What is the value of K? A: The value of K is 16.
Q: What is the median of the given numbers? A: The median of the given numbers is 14.
Q: How do you find the median of a set of numbers? A: To find the median, you need to arrange the numbers in order and find the middle value.
Q: What happens if there are an even number of numbers? A: If there are an even number of numbers, the median is the average of the two middle values.
Q: Can you give an example of a set of numbers with an even number of numbers? A: Yes, an example of a set of numbers with an even number of numbers is: 1, 2, 3, 4, 5, 6. The median of this set of numbers is (3 + 4) / 2 = 3.5.