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It is not possible to determine the range since there is always the possibility that there are outliers. Also, there is no information about the skewness of the data. If the distribution is symmetric, there is a high probability (99.75%) that the values will lie within 3 standard deviations of the mean - that is between 40 and 160.

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Q: How do you work out the range of values a box will extend in a boxplot using the mean score 100 and standard deviation 20?
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Related questions

Why we calculate standard deviation and quartile deviation?

we calculate standard deviation to find the avg of the difference of all values from mean.,


What are all the values a standard deviation can take?

The standard deviation must be greater than or equal to zero.


What are the above five values called?

Boxplot


Can standard deviation value be bigger than maximum and minimum value?

No standard deviation can not be bigger than maximum and minimum values.


If the variance of the data values in a sample is 121 what is the standard deviation of the data values?

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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.


Would the mean and standard deviation be negative if the set has only negative values?

The mean would be negative, but standard deviation is always positive.


A set of 1000 values has a normal distribution the mean of the data is 120 and the standard deviation is 20 how many values are within one standard deviaiton from the mean?

The Empirical Rule states that 68% of the data falls within 1 standard deviation from the mean. Since 1000 data values are given, take .68*1000 and you have 680 values are within 1 standard deviation from the mean.


If the variance of the data values in a population is 196 what is the standard deviation of the data values?

14 Apex


What if I have a very high standard deviation?

The larger the value of the standard deviation, the more the data values are scattered and the less accurate any results are likely to be.


In research how to define standard deviation?

Standard deviation shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.


A What is empirical rule?

For data sets having a normal, bell-shaped distribution, the following properties apply: About 68% of all values fall within 1 standard deviation of the mean About 95% of all values fall within 2 standard deviation of the mean About 99.7% of all values fall within 3 standard deviation of the mean.