In calculating the mean deviation, we make use of absolute value of the deviations. ![]() N represents the number of items in a distribution This is the arithmetic mean of absolute deviation of the number of a given distribution. This is defined as the squared i of the variance and its formula is:įrom the distribution given above, we can find the standard deviation (the square root of the variance) by finding the variance, which has already been calculated, and then square it to get the standard deviation. Now, to find the variance from the above table, we divide the squared deviation by the number of items which is 7 Now to find the variance, we draw a table subtracting the mean from each of the numbers as shown below To find the variance, first we find theĪrithmetic mean. The formula isįor instance, given the following numbers 5,7,4,9,10,6,8, find the variance of the distribution. It measures the extent to which numerical datas are spread about from their average. This is the squared deviation of a given set of numbers from their arithmetic mean. Or we can simply write the lowest number and the highest number instead of finding the difference. Therefore, the range of the distribution is 6, i.e. ![]() ![]() 10 and then minus it from the lowest number, which is 4. Now, to get the range, we take the highest number, which is. For Instance, given the following data: 5,7,4,9,10,6,8 find the range of the above distribution. Is the difference between the highest and lowest number In a given distribution. TYPES OF MEASURES OF DISPERSION: THE RANGE This Is the degree to which a group of data varies from their average values.
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