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Which descriptive summary measures cannot be easily approximated from a box-and-whisker plot?
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Which descriptive summary measures are considered to be resistant statistics?
Median is a good example of a resistant statistic. It "resists" the pull of outliers. The mean, on the other hand, can change drastically in the presence of an outlier.The interquartile range is a resistant measure of spread.
What are descriptive statistics and inferential statistics?
Descriptive statistics is a summary of data. Inferential statistics try to reach conclusion that extend beyond the immediate data alone.
Which summary measures are influenced by extreme values?
mode and mean
What is a descriptive statistic?
A descriptive statistic is a numerical summary of a dataset (e.g. a sample). There are four types of descriptive statistics that are commonly used: * Measures of central tendency: the central or most common value. # mean - There are several different types of mean, but by far the most commonly used is the arithmetic mean, which is simply the sum of the measurements divided by the number of measurements. This is typically what people refer to as the average. # median - value for which exactly half the measurements lie above and half below # mode - most frequently occurring measurement in a category* Measures of variability: the normal spread of values around the central value. # standard deviation - the mean of the squared deviations from the mean. 1 standard deviation is the range around the mean in which roughly 62% of the values of data will fall. # quartiles, deciles, centiles - divide the values in the data set into equal quarters (or tenths, or hundredths) by number of data points, to show how the values of the data points cluster around the center. # correlation - (for two variables) how closely the distribution of values in the two variables are related.* Measures of shape: what the data looks like. # skew - whether the data is balanced around the mean, or whether weighted towards one side or the other # kurtosis - the 'peaked-ness' or 'flatness' of a distribution.* Measures of size: # sample size - how many points have been analyzed
What do box and whisker plots tell you about data that measures of central tenancy do not?
The box and whisker plot informs you of the 5 number summary, which comprises of the minimum and maximum, the median, and the first and third quartiles. The minumum and maximum give you the range, which is not given by measures of central tendancy. also, if it a modified box and whisker plot, outliers will be marked separatley from the rest of the plot, outliers are also not included in the measures of center.
