# Box plots are most useful forex

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Displays outliers A box plot is one of very few statistical graph methods that show outliers. There might be one outlier or multiple outliers within a set of data, which occurs both below and above the minimum and maximum data values. By extending the lesser and greater data values to a max of 1. Any results of data that fall outside of the minimum and maximum values known as outliers are easy to determine on a box plot graph.

Understanding different box plots We have data on different house prices in 5 different areas of Bangalore. We will try to understand the distribution of this data and try to find some insights out of it. The Box plot as an Indicator of Centrality We will try to gather our first insight by observing the centrality of the box plots.

Centerline represents the median value for the house price in different areas. Houses on airport road have the highest median value of the house which makes it a comparatively expensive place to live in whereas houses in Marathali have the least median value which allows us to conclude that houses here are relatively cheapest to live.

The Box plot as an indicator of the spread The spread of a box plot talks about the variance present in the data. More the spread, more the variance. If you look closely at the first two box plots, both Whitefield and Hoskote areas have the same median house price value so it seems like both places fall into the same budget category.

But if we look more closely, we can observe that width of Hoskote box plot is more than Whitefield box plot. Hoskote area has more variance in house price as compared to Whitefield i. Hoskote offers more variety of budget in houses as compared to Whitefield. If we look at the overall graph, we find that Bellathur area has the most spread in its box plot.

This clearly states that this area has the widest variety in the budget of the houses. The Box plot as an indicator of symmetry Symmetry around the median talks about skewness present in the data. If the median line is towards the lower half of the box plot, then it is right skewed positive skew and if the median line is towards the upper portion of the box plot then it is left-skewed negative skew. If we look at the box plot representing Marathalli, we can observe that median is towards the lower half of the box plot and hence it is right skewed positive skew which means that most of the houses are on the cheaper side in Marathalli and only a few are expensive.

The Box plot as an indicator of tail length Tail length talks about the kurtosis present in data. There are three cases here. Either your data will be normally distributed or it will have more data in its tail as compared to a normal distribution platykurtic or it will have fewer data in tails as compared to a normal distribution leptokuritc.

A long tail shows that the distribution is platykurtic and shorter tail gives the idea of distribution being leptokurtic. In above example, Marathalli has the shortest tail as compared to other box plots which may mean that in Marathalli most of the house prices lie in the interquartile range q3-q1. Types of box plots Variable width box plots Box plot represents a numeric vector of data that is split in several groups.

When the number of points in each group is highly different, it can be great to represent it using the width of the box. The widths of the box plot indicate the size of the samples. The wider the box, the larger the sample. This is usually an option in statistical software programs, not all Box Plots have the widths proportional to the sample size. One common convention is to make the width of the boxes for a group of data proportional to the square roots of the number of observations in a given sample.

Notched box plots It works the same as a standard Box Plot, but has a narrowing of the box around the median value. This acts as a handy visual guide to help read and compare the differences between the median values across each data series. Notches visually illustrate an estimate on whether there is a significant difference of medians. The width of the notches is proportional to the inter quartile range of the sample.

Complications in box plots Box plots generally do not go well when the sample size of distribution is small. In a box and whiskers plot, the ends of the box and its center line mark the locations of these three quartiles.

The distance between Q3 and Q1 is known as the interquartile range IQR and plays a major part in how long the whiskers extending from the box are. Each whisker extends to the furthest data point in each wing that is within 1. Any data point further than that distance is considered an outlier, and is marked with a dot.

There are other ways of defining the whisker lengths , which are discussed below. When a data distribution is symmetric, you can expect the median to be in the exact center of the box: the distance between Q1 and Q2 should be the same as between Q2 and Q3.

Outliers should be evenly present on either side of the box. If a distribution is skewed, then the median will not be in the middle of the box, and instead off to the side. You may also find an imbalance in the whisker lengths, where one side is short with no outliers, and the other has a long tail with many more outliers. Example of data structure Visualization tools are usually capable of generating box plots from a column of raw, unaggregated data as an input; statistics for the box ends, whiskers, and outliers are automatically computed as part of the chart-creation process.

When a box plot needs to be drawn for multiple groups, groups are usually indicated by a second column, such as in the table above. Best practices for using a box plot Compare multiple groups Box plots are at their best when a comparison in distributions needs to be performed between groups. With only one group, we have the freedom to choose a more detailed chart type like a histogram or a density curve. Consider the order of groups If the groups plotted in a box plot do not have an inherent order, then you should consider arranging them in an order that highlights patterns and insights.

One common ordering for groups is to sort them by median value. Common box plot options Vertical vs. The horizontal orientation can be a useful format when there are a lot of groups to plot, or if those group names are long. It also allows for the rendering of long category names without rotation or truncation.

On the other hand, a vertical orientation can be a more natural format when the grouping variable is based on units of time. Variable box width and notches Certain visualization tools include options to encode additional statistical information into box plots. This is useful when the collected data represents sampled observations from a larger population. Notches are used to show the most likely values expected for the median when the data represents a sample.

When a comparison is made between groups, you can tell if the difference between medians are statistically significant based on if their ranges overlap. This plot suggests that Process B creates components with better higher failure times, but the overlapping notches indicate the difference in medians is not statistically significant. Box width can be used as an indicator of how many data points fall into each group. Box width is often scaled to the square root of the number of data points, since the square root is proportional to the uncertainty i.

Since interpreting box width is not always intuitive, another alternative is to add an annotation with each group name to note how many points are in each group. Whisker range and outliers There are multiple ways of defining the maximum length of the whiskers extending from the ends of the boxes in a box plot. As noted above, the traditional way of extending the whiskers is to the furthest data point within 1.

Alternatively, you might place whisker markings at other percentiles of data, like how the box components sit at the 25th, 50th, and 75th percentiles. Common alternative whisker positions include the 9th and 91st percentiles, or the 2nd and 98th percentiles. These are based on the properties of the normal distribution , relative to the three central quartiles. Under the normal distribution, the distance between the 9th and 25th or 91st and 75th percentiles should be about the same size as the distance between the 25th and 50th or 50th and 75th percentiles, while the distance between the 2nd and 25th or 98th and 75th percentiles should be about the same as the distance between the 25th and 75th percentiles.

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#### Example Box plots allow you to visualize and compare the distribution and central tendency of numeric values through their quartiles.

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Us betting sites | Here the smallest value is 0. The widths of the box plot indicate the size of the samples. Representing roots with their raw segmented pixels has some drawbacks. Explore all of the ways that the box and whisker plot can help you understand and manage your data. Top right: Input samples the time value as 3rd coordinate. A simplified explanation of root phenotyping is the following. The Financial Commission ensures that traders and brokers are getting their disputes resolved in a quick, efficient, unbiased and authentic manner, while making sure they walk away with a Well-founded answer, thus contributing to their overall knowledge about Forex. |