|x-6| < 4
5
equal
If I have understood the question correctly, despite your challenging spelling, the standard deviation is the square root of the average of the squared deviations while the mean absolute deviation is the average of the deviation. One consequence of this difference is that a large deviation affects the standard deviation more than it affects the mean absolute deviation.
No. Mean absolute deviation is usually greater than 0. It is 0 only if all the values are exactly the same - in which case there is no point in calculating a deviation! The average deviation is always (by definition) = 0
the absolute value of negative 7 is 7 and the absolute value of 7 is also seven so they are equal. Therefore, the absolute value of negative 7 is not less than the absolute value of 7. Remember that absolute value means the positive of a number
no it can notAnother AnswerThis is not true. Every positive number is equal to its absolute value. Every negative number will be smaller than its absolute value.
equal
no, it can be equal too.
No, it's equal to it.
If I have understood the question correctly, despite your challenging spelling, the standard deviation is the square root of the average of the squared deviations while the mean absolute deviation is the average of the deviation. One consequence of this difference is that a large deviation affects the standard deviation more than it affects the mean absolute deviation.
In general, a mean can be greater or less than the standard deviation.
Yes, a standard deviation can be less than one.
No. Mean absolute deviation is usually greater than 0. It is 0 only if all the values are exactly the same - in which case there is no point in calculating a deviation! The average deviation is always (by definition) = 0
If the signs of the numerator and denominator are different then the fraction is less than 0 and, therefore, obviously less than one half.If the signs are the same then if the absolute value of the numerator is less than or equal to half the absolute value of the denominator, then the fraction is less than or equal to one half.Algebraically,p/q
True, every positive number is equal to its absolute value. Every negative number will be smaller than its absolute value.
No, it is not true that no negative number is less than its absolute value. In fact, all negative numbers are less than their absolute value. The absolute value of a negative number is always positive.
the absolute value of negative 7 is 7 and the absolute value of 7 is also seven so they are equal. Therefore, the absolute value of negative 7 is not less than the absolute value of 7. Remember that absolute value means the positive of a number
no it can notAnother AnswerThis is not true. Every positive number is equal to its absolute value. Every negative number will be smaller than its absolute value.