Deviation about the mean is calculated by subtracting the arithmetic mean with each individual value. To calculate the standard deviation along with the variance the prime requirement is to calculate the deviation about the mean. The formula for calculating the standard deviation is given below. They are population standard deviation and sample standard deviation. The standard deviation can be of two kinds. To calculate the standard deviation, you need to calculate the variance first as the standard deviation is the square root of the variance.
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Read more: Solving equations in Excel (polynomial, cubic, quadratic, & linear) How to Calculate Standard Deviation In Excel with Formula This is how the whole calculation was done for calculating the mean deviation.
Now for calculating the mean deviation from the mean I used the formula =C10/B6 in cell C15 and for calculating the mean deviation from the median I used the formula =D11/B6 in cell C16. These all are the necessary values that are needed for calculating the mean deviation. After this, the sum of the absolute value of mean (X-μ) and median (X-M) was calculated using the formula =SUM (C2: C4) and =SUM (D2: D4) in cell C10 and D11 respectively. In cell D2, the formula, =ABS(B2-$B$8) was used and it was dragged down for the rest of the cell of column D for continuing the same calculation. The same thing was done for calculating the absolute value of (X-M). To calculate the absolute value of (X-μ) I used the formula =ABS(B2-$B$7) in cell C2 and drag this formulated cell to C3 and C4 for copying the formula for the whole column. For the mean and median calculation, I used the formula =AVERAGE (B2: B4) and =MEDIAN (B2: B4) respectively. The total number of observations was calculated using the formula =COUNT (B2: B4). In the above example, I took three values for three months. The following picture shows how the mean deviation is calculated in Excel. The formulas for calculating the mean deviation are given below. If the subtracted item is median then it is called the mean deviation from the median. If in your calculation the arithmetic mean is subtracted from the individual values then it is called the mean deviation from the mean. The mean deviation can be calculated as the mean deviation from the mean or mean deviation from the median.
Read More… Calculate Mean Deviation in Excel with Formula
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