Within One Standard Deviation Of The Mean Calculator. Since a proportion is just a special type of mean this standard deviation formula is derived through a simple transformation of the above ones. 997 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ 3σ.
Then we find using a normal distribution table that z_p 0842 is such that. Our standard deviation calculator supports proportions for which only the sample size and the event rate need to be known to estimate the difference between the observed outcome and the expected one. Likewise -1σ is also 1 standard deviation away from the mean but in the opposite direction.
Therefore the standard deviation equals approximately 5164.
Your melons have a mean weight of 5 pounds and an average deviation of 15 pounds so. 997 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ 3σ. The first part of the empirical rule states that 68 of the data values will fall within 1 standard deviation of the mean. If data set have high standard deviation than the values are spread out very much.