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What is the mean absolute deviation for 34 32 20 40 12 18 22 15 14?
Wiki User
∙ 9y ago
The mean absolute deviation is 8.22
Wiki User
∙ 9y ago
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What is the mean absolute deviation for 12 9 12 13 15 8 11 14 10 and 16?
The mean absolute deviation is 2
How do you calculate mean absolute deviation?
The Mean Absolute Deviation is calculated in three simple steps.1) Determine the Mean: Add all numbers and divide by the countexample: the weights of the following three people, denoted by letters areA - 56 KgsB - 78 KgsC - 90 KgsMean = (56+78+90)/3= 74.62) Determine deviation of each variable from the Meani.e 56-74.6 = -18.6778-74.6= 3.3390-74.6 =15.333) Make the deviation 'absolute' by squaring and determining the roots i.e eliminate the negative aspectThus the Mean Absolute Deviation is (18.67 +3.33+15.33)/3 =12.44Alternatively , you can use the excel formula =AVEDEV(56,78,90) to obtain the result.Different MethodsThere are different formulas for the calculation of mean absolute deviation. For example mean absolute deviation from mean and mean absolute deviation from median. Similarly the formulas for grouped and ungrouped data are also different. In order to see the calculation of mean absolute deviation from mean and mean absolute deviation from median for both grouped and ungrouped data please visit the link given below.Let's consider the sample {2, 2, 3, 4, 14}.First of all you must decide, what am I calculating the mean absolute deviation from? Will it be the mean, the mode or the median? (It could be any measure of what statisticians call 'location' or 'central tendency'.)For no good reason except that it's familiar to most people let me choose the mean of the sample. It proves to be 5.Now we need the absolute deviation of each sample element from the mean. Notice that these are the distances between the mean and the sample elements.|2 - 5| = |-3| = 3|2 - 5| = |-3| = 3|3 - 5| = |-2| = 2|4 - 5| = |-1| = 1|14 - 5| = |9| = 9The sum of these is 18; then their average is 18/5 = 3.6. So the mean absolute deviation (from the mean) is 3.6. In other words, the sample points are, on average 3.6 units from the mean.For more information visit the Related Links.
What is the range of standard deviation of 18 15 12 13 17 14 19 20 8?
The range is 12 and the standard deviation is 3.822448314.
What does it mean if the standard deviation is equal to the mean?
A large standard deviation indicates that the distribution is heavily weighted far from the mean. Take the following example: {1,1,1,1,1,19,19,19,19,19} Mean is 10 and StDev = 9.49 Now look at this data set: {5, 6, 7, 8, 9, 11, 12, 13, 14, 15} Mean is still 10, but StDev = 3.5
What is the standard deviation of 3 6 and 12?
Answer is Square-root(14) or approximately +/-3.74. Explanation: To find the standard deviation, you must first find the mean of the population. In this case, the mean is (3+6+12)/3 = 21/3 = 7. Then, we take the Square root of (average of the Squares of (mean - each number)). = Square-root of ( [ (7-3)^2 + (7-6)^2 + (7-12)^2 ] / 3 ) = Square root of ( [ 16 + 1 + 25 ] / 3 ) = Square root of (42 / 3) = Square root of (14)
What is the mean absolute deviation for 12 9 12 13 15 8 11 14 10 and 16?
The mean absolute deviation is 2
What is mean absolute deviation 63 69 62 57 64?
Step 1: Find the mean Step 2: Find the deviation from the mean Step 3: Take the absolute value of the deviation Step 4: Find the mean of the absolute deviation. x----x-mean 63 63-63 0 69 69-63 6 62 62-63 -1 57 57-63 -6 64 64-63 1 mean = (63+69+62+57+64)/5 = 63 Taking the absolute deviations, we have 0,6,1,6,1 Averaging these deviations : (0+6+1+6+1)/5 =14/5 = 2.8 Mean absolute deviation = 2.8
How do you calculate mean absolute deviation?
The Mean Absolute Deviation is calculated in three simple steps.1) Determine the Mean: Add all numbers and divide by the countexample: the weights of the following three people, denoted by letters areA - 56 KgsB - 78 KgsC - 90 KgsMean = (56+78+90)/3= 74.62) Determine deviation of each variable from the Meani.e 56-74.6 = -18.6778-74.6= 3.3390-74.6 =15.333) Make the deviation 'absolute' by squaring and determining the roots i.e eliminate the negative aspectThus the Mean Absolute Deviation is (18.67 +3.33+15.33)/3 =12.44Alternatively , you can use the excel formula =AVEDEV(56,78,90) to obtain the result.Different MethodsThere are different formulas for the calculation of mean absolute deviation. For example mean absolute deviation from mean and mean absolute deviation from median. Similarly the formulas for grouped and ungrouped data are also different. In order to see the calculation of mean absolute deviation from mean and mean absolute deviation from median for both grouped and ungrouped data please visit the link given below.Let's consider the sample {2, 2, 3, 4, 14}.First of all you must decide, what am I calculating the mean absolute deviation from? Will it be the mean, the mode or the median? (It could be any measure of what statisticians call 'location' or 'central tendency'.)For no good reason except that it's familiar to most people let me choose the mean of the sample. It proves to be 5.Now we need the absolute deviation of each sample element from the mean. Notice that these are the distances between the mean and the sample elements.|2 - 5| = |-3| = 3|2 - 5| = |-3| = 3|3 - 5| = |-2| = 2|4 - 5| = |-1| = 1|14 - 5| = |9| = 9The sum of these is 18; then their average is 18/5 = 3.6. So the mean absolute deviation (from the mean) is 3.6. In other words, the sample points are, on average 3.6 units from the mean.For more information visit the Related Links.
The mean number is 14 with a standard deviation of 2.5 How many standard deviations is 16.50 from the mean?
16.5 is 1 standard deviation from the mean. If you add the mean of 14 to the 1 standard deviation of 2.5, the result is 16.5.
What is the range of standard deviation of 18 15 12 13 17 14 19 20 8?
The range is 12 and the standard deviation is 3.822448314.
The mean of A is 14 with a standard deviation of 4.2. The mean of B is 16 with a standard deviation of 4.4 Which is more dispersed?
B because the spread, in this case standard deviation, is larger.
What is the average deviation of 14 18 3 6 15?
The average deviation from the mean, for any set of numbers, is always zero.The average deviation from the mean, for any set of numbers, is always zero.The average deviation from the mean, for any set of numbers, is always zero.The average deviation from the mean, for any set of numbers, is always zero.
What is the absolute value of 24?
Absolute value of 24 is 24.
What is meant by the mean and standard deviation of a set of results?
The mean is the average of the numbers in your results. For example if your results are 7, 3 and 14, then your mean is 8. Numerically, (7+3+14)/3 The standard deviation measures how widely spread the values in a data set are.
What does it mean if the standard deviation is equal to the mean?
A large standard deviation indicates that the distribution is heavily weighted far from the mean. Take the following example: {1,1,1,1,1,19,19,19,19,19} Mean is 10 and StDev = 9.49 Now look at this data set: {5, 6, 7, 8, 9, 11, 12, 13, 14, 15} Mean is still 10, but StDev = 3.5
What is the absolute value of 14?
Absolute value of 14 is 14.
What is the standard deviation of 3 6 and 12?
Answer is Square-root(14) or approximately +/-3.74. Explanation: To find the standard deviation, you must first find the mean of the population. In this case, the mean is (3+6+12)/3 = 21/3 = 7. Then, we take the Square root of (average of the Squares of (mean - each number)). = Square-root of ( [ (7-3)^2 + (7-6)^2 + (7-12)^2 ] / 3 ) = Square root of ( [ 16 + 1 + 25 ] / 3 ) = Square root of (42 / 3) = Square root of (14)
