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Q: A juice shop owner wants to know the average amount of juice his staff puts into each glass. A sample of 50 glasses was found to have an average (mean) of 245 ml. If the known standard deviation of th?
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What is percentile deviation?

A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.


Can a standard deviation of 4.34 be correct?

Yes, a standard deviation of 4.34 can be correct. Standard deviation is a measure of dispersion or variability in a data set. It represents the average amount by which individual data points deviate from the mean. Therefore, a standard deviation of 4.34 simply indicates that there is some variability in the data, with data points on average deviating by 4.34 units from the mean.


What does large standard deviation signify?

That there is quite a large amount of variation between the observations.


Give an example of how standard deviation can be useful Also why is underestimating the standard deviation as in the case with the Range Rule Thumb a better method than overestimating?

to calculate the standard deviation you must put each number in order from the least to the gr east then you must find your mean after you find your mean you must subtract your mean from each of the data set numbers once you finishsubtracting the data set numbers you add them up and divide by the amount of numbers there are and you have found the standard deviation.


What is variability of a set of numerical data?

Variability is determined by the how numbers are distributed across the set of numbers. There are several ways of measuring this the most common is standard deviation. To find standard deviation you first find the average of the set by adding them all up and dividing by the amount of numbers in the set. Then you find the square of each number in the set minus the average. You add all these values up, multiply them by 1/the number of items in the set, and take the square root. As an example the set {2,5,3,6} has much less variability as measured by the standard deviation than {2000,-1000,-500,484} even though they both have the same average. The firsts average is (2+5+3+6)/4 or 4. The standard deviation is the square root of(((2-4)^2+(5-4)^2+(3-4)^2+(6-4)^2)*1/4) or about 1.58113883. The standard deviation of the second set that has the same average as the first is the square root of (((2000-4)^2+(-1000-4)^2+(-500-4)^2+(484-4)^2)*1/4) or 1170.09059.

Related questions

What statistic is the average amount by which the scores in a distribution vary from the mean?

Standard deviation


What is percentile deviation?

A standard deviation in statistics is the amount at which a large number of given values in a set might deviate from the average. A percentile deviation represents this deviation as a percentage of the range.


Can a standard deviation of 4.34 be correct?

Yes, a standard deviation of 4.34 can be correct. Standard deviation is a measure of dispersion or variability in a data set. It represents the average amount by which individual data points deviate from the mean. Therefore, a standard deviation of 4.34 simply indicates that there is some variability in the data, with data points on average deviating by 4.34 units from the mean.


How To Calculate Standard Deviation?

You can calculate standard deviation by addin the numbers of data that are together and dividing that number by the amount pieces of data.THAT IS TOTALLY INCORRECT.What was answered above was the calculation for getting an (mean) average.If you take five numbers for example 1, 2, 3, 4, 5 then the (mean) average is 3.But the standard deviation between them is 1.58814 and the variance is 2.5Also the population std. deviation will be 1.41421 and the population variance will be 2.see standard-deviation.appspot.com/


Why variance is bigger than standard deviation?

The variance is standard deviation squared, or, in other terms, the standard deviation is the square root of the variance. In many cases, this means that the variance is bigger than the standard deviation - but not always, it depends on the specific values.


What is the s d?

Standard deviation (SD) is a measure of the amount of variation or dispersion in a set of values. It quantifies how spread out the values in a data set are from the mean. A larger standard deviation indicates greater variability, while a smaller standard deviation indicates more consistency.


What does large standard deviation signify?

That there is quite a large amount of variation between the observations.


The average amount customers at a certain grocery store spend yearly is 636.55 Assume the variable is normally distributed If the standard deviation is 89.46 find the probability that a randomly?

.820=82.0%


What are all the values that a standard deviation can possibly take?

Any real value >= 0.


Give an example of how standard deviation can be useful Also why is underestimating the standard deviation as in the case with the Range Rule Thumb a better method than overestimating?

to calculate the standard deviation you must put each number in order from the least to the gr east then you must find your mean after you find your mean you must subtract your mean from each of the data set numbers once you finishsubtracting the data set numbers you add them up and divide by the amount of numbers there are and you have found the standard deviation.


The distribution of the amount of change in UF student's pockets has an average of 2.02 dollars and a standard deviation of 3.00 dollars Suppose that a random sample of 45 UF students was taken and ea?

It would be approximately normal with a mean of 2.02 dollars and a standard error of 3.00 dollars.


The average weekly grocery bill is 57.85 with a standard deviation of 14.25 What is the lowest amount spent by the upper 25 percent of market customers?

If you assume that a grocery bill is normally distributed then the lowest spend by the top 25% is 67.46.