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To calculate a sample standard deviation one requires the sample values. The five-number summary provides only the lowest value, the highest, the median, and the upper and lower quartiles. In any sample of size greater than five some values will be missing from the summary.

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What statistical measure is not a summary number but rather a comparison between each data value and a single number?

Standard deviation


What can a standard deviation tell us about the usefulness of the mean?

Standard deviation measures the dispersion or variability of data points around the mean. A low standard deviation indicates that the data points are closely clustered around the mean, suggesting that the mean is a reliable representation of the dataset. Conversely, a high standard deviation signifies greater variability, which may diminish the mean’s usefulness as a summary statistic, as it may not accurately reflect the data's central tendency. Thus, understanding standard deviation helps assess how well the mean represents the underlying data.


If two distributions have exactly the same mean and standard deviation must their histograms have the same shape If they have the same five-number summary must their histograms have the same shape?

No, and no. Think about two skewed distributions that are mirrored across the mean so that one is right and one is left. they have the same mean and standard deviation, but are opposite. Also, the 5 number summary does not affect a histogram


Define mean absolute deviation?

The average mean absolute deviation of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability.


Which descriptive summary measures cannot be easily approximated from a box-and-whisker plot?

A box-and-whisker plot provides a visual summary of the median, quartiles, and potential outliers in a dataset, but it does not easily convey measures such as the mean or standard deviation. Additionally, it does not provide information on the distribution shape, skewness, or kurtosis, which are essential for understanding the overall distribution of the data. These summary measures require additional calculations or data representations for accurate approximation.


How do you solve if a population has a mean of μ80 and a standard deviation of σ20?

The question gives summary statistics for a population. If the underlying distribution is Gaussian, or some other known distribution, then the probability density function can be calculated. Even so, there is no question and so nothing to "solve".


How to Calculate summary statistics?

There are very many summary statistics and the answer depends on which of the ones that are appropriate you are interested in.


What numerical summary cannot be negative?

The numerical summary that cannot be negative is the mean (average) of a dataset. While individual data points can be negative, the mean represents the central tendency of the values and is computed as the sum of all values divided by the count of those values. Additionally, measures like count, total, and standard deviation are also inherently non-negative.


What are error bars?

Error bars are graphical representations of the variability or uncertainty in data. They indicate the possible range of values for a data point, typically reflecting the standard deviation, standard error, or confidence intervals. By providing a visual summary of the precision of measurements, error bars help interpret the reliability of the data and assess the significance of differences between groups or conditions.


What is a Summary formula?

A Summary formula is a formula in Salesforce that allows users to calculate aggregate values (like Sum, Average, Min, Max) on a grouped set of records in a report. It can be used to perform calculations on data to generate summary information for reports and dashboards.


What entries can properly close a temporary account debit income summary credit?

Standard closing entries: Close Revenue accounts to Income Summary by debiting Revenue and crediting Income Summary. Close Expense accounts to Income Summary by debiting Income Summary and crediting Expense accounts. Close Income Summary to Capital account by debiting Income Summary and crediting Capital account. Close Withdrawals account to Capital account by debiting Capital account and crediting Withdrawals account.


What is the standard format used on the web?

The standard format used on the web is the RSS which is defined as Rich Site Summary. This was expanded from the XML format which allows publishers to syndicate data automatically.