What graph does mean and standard deviation have?
Histogram
Mean and standard deviation are statistical measures that give insight into the distribution of a dataset. The most commonly used graph to represent these measures is the histogram.
A histogram is a graph that shows the frequency distribution of a set of continuous data. It is constructed by dividing the data range into a set of intervals (called bins) and counting the number of observations that fall within each bin. The height of each bar in the histogram represents the number of observations in a particular bin.
To plot mean and standard deviation on a histogram, we can add a vertical line at the location of the mean and a shaded band around this line that represents the range of one standard deviation. This helps in visually interpreting the spread and location of the data.
Additionally, a box plot can also be used to represent mean and standard deviation. The box represents the interquartile range (IQR), where the bottom and top of the box represent the first and third quartile, respectively. A horizontal line inside the box represents the median, while a dot outside the box represents an outlier. The whiskers extend from the box to the smallest and largest data points within a certain distance from the box. The mean can be represented by a point or an additional line inside the box plot.
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