Explain in your own words what standard deviation is and why it is useful when d

Question

Explain in your own words what standard deviation is and why it is useful when describing experimental data. 2.What range for mass of the washers would you expect 68% of the samples to fall into? What about 95%? (Hint: use the standard deviation calculated for mass measurements) 3.Do you think that a sample population of two washers would have been adequate to generate the descriptive statistics for the entire population? Explain 4.For what reasons would someone generally NOT want to use the very end of a ruler for taking measurements. 5. Assume that the actual density of the washers is 7.81 g/cm3. What is the percent error of your calculated mean? What sources of error exist in this experiment?

Explanation / Answer

standard deviation (represented by the symbol sigma, ?) shows how much variation or "dispersion" exists from the average............... A low standard deviation indicates that the data points tend to be very close to the mean; high standard deviation indicates that the data points are spread out over a large range of values. The standard deviation of a random variable, statistical population, data set, or probability distribution is the square root of its variance. It is algebraically simpler though practically less robust than the average absolute deviation.............................Together with the mean, the standard deviation gives a first-level indication of the characteristics of any set of numbers. The actual pattern of frequency of the member numbers can be very different for sets with the same mean and standard deviation, but one overall pattern is so common to have been accorded the name

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