Given the data below find the range find the standard deviat

Given the data below, find the range, find the standard deviation, assuming this is the population, using the computation formula

Data: 1, 2, 3, 4, 5

Solution

Range - As the range in the data is the difference between the highest and lowest value in the data

therefore range for the following data will be

Range =5-1 = 4

(disadvantage of using range for checking variation in the data is it highly affected by the outliers in the data)

Standard Devation will be

As the standard deviation is the square root of variance therefore the sd=1.41 for the following data

(Mean Deviation -above is the deviation from the average of the data and its square has been taken in 3rd column as it does not consider sign)