First you need to know the steps involved in getting the Mean Absolute Deviation, which are:
1 find the mean (average)
2. find the difference between each data value and the mean
3. take the absolute value of each difference
4. find the mean (average) of these differences
To do these things you need only two of Excel's functions. AVERAGE to get the mean and ABS to get the absolute value. Say your values are in the cells from A2 to A18. First you get the mean of those cells. Say we put this formula into cell A20. Then your formula in A20 would be:
=AVERAGE(A2:A18)
Combining steps 2 and 3, you could get the absolute of the difference for each value. Starting in cell B2, the cell beside the first value, you would put the following formula and then copy it down to B18:
=ABS(A$20-A2)
Then in B20 you you would put:
=AVERAGE(B2:B18)
That would give you your final result. In your instance you may need adjust the cell references.
add the numbers and divide them by how many numbers there are
z-score of a value=(that value minus the mean)/(standard deviation)
The data point is close to the expected value.
mean= 100 standard deviation= 15 value or x or n = 110 the formula to find the z-value = (value - mean)/standard deviation so, z = 110-100/15 = .6666666 = .6667
You cannot from the information provided.
The mean absolute deviation is the sum of the differences between data values and the mean, divided by the count. In this case it is 15.7143
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
add the numbers and divide them by how many numbers there are
Information is not sufficient to find mean deviation and standard deviation.
The first step is to find out what the deviation is from: the mean, median, some other fixed value. Whatever it is, call it m.For each observation x, calculate the absolute deviation, which is x - m or m - x, whichever is positive or zero. Finally, calculate the mean value (arithmetic average) of this set.
You do not have absolute deviation in isolation. Absolute deviation is usually defined around some measure of central tendency - usually the mean but it could be another measure. The absolute deviation of an observation x, about a measure m is |x - m| which is the non-negative value of (x - m). That is, |x - m| = x - m if x ≥ m and m - x if x < m
You find the mean, and find the mean of the mean.Mean=5Data set: 1 2 3 5 6 9 9Calculate how far away the other numbers are from the meanNew data set from doing above: 4 3 2 0 1 4 4Find the mean of that data set.Mean absolute deviation= 2.6
Add all the absolute deviations together and divide by their number.
to find percent deviation you divide the average deviation into the mean then multiply by 100% . to get the average deviation you must subtract the mean from a measured value.
Three steps:1. Find the mean of all values2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)3. Then find the mean of those distances
The answer depends on the purpose. The interquartile range and the median absolute deviation are both measures of spread. The IQR is quick and easy to find whereas the MAD is not.
To calculate the average deviation from the average value, you first find the average of the values. Then, subtract the average value from each individual value, take the absolute value of the result, and find the average of these absolute differences. This average is the average deviation from the average value.