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What is the mean absolute deviation of 2 3 5 4 9 4 3?
Absolute deviation from what?
What numbers have opposites that are the same as their absolute values?
All numbers have opposites that are the same as their absolute values.
Do absolute values always have two answers?
An absolute value doesn't have 2 answers. It isn't even a question. It's always positive.
What is the arithmetic mean of the absolute values of the deviations of the individual values from the mean in a data set?
It is the mean absolute deviation.
Is the absolute value of the sum of two numbers equal to the sum of the absolute values of the numbers?
NO! abs(2-2)=0 NOT equal to abs(2)+abs(-2)=4 - The above is technically correct, though the more thorough answer is as follows; no because the absolute value of the sum is LESS THEN OR EQUAL TO the sum of the absolute values. The simple proof the the fact that |A+B|<=|A|+|B| is called the triangular inequality. When A and B (or for that matter an infinite number of them) are both positive (or all) or both negative (or all) then they inequality is actually equal, if however any of the numbers have different signs then any other number, the inequality is less then.
What is the sum of absolute values?
The sum of absolute values refers to the total obtained by taking the absolute value of each number in a set and then adding those values together. The absolute value of a number is its distance from zero on the number line, regardless of direction, meaning it is always non-negative. For example, for the set {-3, 4, -1}, the sum of absolute values would be |−3| + |4| + |−1| = 3 + 4 + 1 = 8. This concept is often used in mathematics and statistics to analyze data without regard to sign.
What is mean by absolute value of rational numbers?
Absolute values are essentially used for the magnitude (distance) to zero of a number. They are represented by a number inside a vertical bar (e.g., |2|) E.g.'s: | 2 | = 2 (the absolute value of 2 is equal to 2) | -4 | = 4 (the absolute value of -4 is 4) In terms of rational numbers, it just means to hold the fraction. Rational numbers can be written in a/b (fraction) form. E.g.'s: | 1+2/3 | = 1+2/3 (the absolute value of one and two thirds is equal to one and two thirds) | -1-2/3| = 1+2/3 (the absolute value of -1 minus 2/3 is equal to 1 and 2/3.
How do you use addition and subtraction in absolute value?
Addition and subtraction involving absolute values focuses on the distance of numbers from zero, regardless of their sign. When you add or subtract absolute values, you first calculate the absolute values of the numbers involved and then perform the arithmetic. For example, |3| + |−5| equals 3 + 5 = 8, while |−7| − |4| equals 7 − 4 = 3. However, when performing operations without first taking absolute values, the result may differ based on the signs of the numbers involved.
What is the absolute value of 25?
The absolute value of a number is a positive number. For example the absolute value of -2 is 2. The absolute value of 4 is 4. So the absoulte value of 25 is 25.
What numbers have opposites that are the same as their absolute values?
All numbers have opposites that are the same as their absolute values.
Do opposites have the same or different absolute values?
Additive opposites MUST have the same absolute values.
What is the mean absolute deviation of 2 3 5 4 9 4 3?
Absolute deviation from what?
Do absolute values always have two answers?
An absolute value doesn't have 2 answers. It isn't even a question. It's always positive.
Can you use the distributive property in absolute values?
Yes, you can apply the distributive property in expressions involving absolute values, but it's important to consider the properties of absolute values. The distributive property states that ( a(b + c) = ab + ac ), and this can be used with absolute values, such as ( |a(b + c)| = |ab + ac| ). However, the absolute value of a sum is not necessarily equal to the sum of the absolute values, meaning ( |a + b| \neq |a| + |b| ) in general. Thus, careful attention is needed when manipulating expressions involving absolute values.
Can absolute value be negative?
No, absolute values are always positive.
Are absolute value and additive inverse equal why?
No. This is because absolute values are always positive. For example: |2|=2 absolute value Additive inverse means the opposite sign of that number so 2's additive inverse is -2. But sometimes if the number is -2 then the additive inverse equals the absolute value. therefore the answer is sometimes
What numbers have equal absolute values?
A positive and negative number with the same magnitude (value) will have their absolute values equal.
