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How many three digit numbers have the property that the middle digit is the arithmetic mean of the other two digits?
To find the three-digit numbers where the middle digit is the arithmetic mean of the other two digits, we denote a three-digit number as ( abc ), where ( a, b, c ) are its digits. The condition means ( b = \frac{a + c}{2} ), which implies ( a + c ) must be even. For ( a ) (1-9) and ( c ) (0-9), ( b ) must be an integer and a digit (0-9).
The pairs ( (a, c) ) that yield valid integers for ( b ) can be counted, leading to 45 valid combinations for three-digit numbers. Thus, there are 45 such three-digit numbers where the middle digit is the arithmetic mean of the other two.
What else can I help you with?
How would you get the median of 20 numbers if there's 2 middle numbers?
You take the arithmetic mean of the two middle numbers.
What is the median of numbers?
The "median" is the "number in the middle", if you sort the numbers. If (as here) the set has an even number of elements, you sort them, and then take the average (arithmetic mean) of the two numbers in the middle - in this example, the 5th and 6th number.
What is the median in a sequence of numbers?
The one closest to the Middle if your sequence is of an even set of digits. The median will be a specific number if you have a sequence of odd digits.
How do you find the meadian of an even amount of numbers?
Assuming that you are referring to the median, the answer is to arrange the number is size-order and take the arithmetic mean (average) of the middle two numbers.
What is the median of 26 27 23 26 24 18?
The median is the middle value.18 , 23 , 24 , 26 , 26 , 27Since there are two middle numbers, the median is the arithmetic mean of the two middle numbers.24 + 26 = 5050/2 = 25Median is 25
How would you get the median of 20 numbers if there's 2 middle numbers?
You take the arithmetic mean of the two middle numbers.
The middle of a set of numbers found by dividing the sum of all the numbers by the number of numbers in the set?
"Average" or "Mean" or, more specifically, "Arithmetic Mean"
What happens if you end up with a even number with the median?
You take the arithmetic mean of the middle two numbers.
What is the median of numbers?
The "median" is the "number in the middle", if you sort the numbers. If (as here) the set has an even number of elements, you sort them, and then take the average (arithmetic mean) of the two numbers in the middle - in this example, the 5th and 6th number.
How do you get a median with even numbers?
With an even number of members of the set, the median is the average of the middle two numbers, listed least to greatest.
What is the median of 10 numbers?
The "median" is the "number in the middle", if you sort the numbers. If (as here) the set has an even number of elements, you sort them, and then take the average (arithmetic mean) of the two numbers in the middle - in this example, the 5th and 6th number.
What is the median in a sequence of numbers?
The one closest to the Middle if your sequence is of an even set of digits. The median will be a specific number if you have a sequence of odd digits.
How do you find the meadian of an even amount of numbers?
Assuming that you are referring to the median, the answer is to arrange the number is size-order and take the arithmetic mean (average) of the middle two numbers.
What does median mean in mathmatical terms?
Arithmetic, Statistics . the middle number in a given sequence of numbers, taken as the average of the two middle numbers when the sequence has an even number of numbers: 4 is the median of 1, 3, 4, 8, 9.
What is the median of 26 27 23 26 24 18?
The median is the middle value.18 , 23 , 24 , 26 , 26 , 27Since there are two middle numbers, the median is the arithmetic mean of the two middle numbers.24 + 26 = 5050/2 = 25Median is 25
How do you do a box and whisker plot that has two nunmbers as the middle?
The median is a single number. If there are an even number of observations so that there are two "middle" numbers, then the median is the arithmetic average of the two (their sum divided by 2).
What describes the sequence 1 1 2 3 5 is it arithmetic or geometric?
It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.
