Q&A for How to Make a Box and Whisker Plot

A box-and-whisker plot primarily focuses on illustrating the distribution of data through quartiles, providing insights into where values lie within a dataset. In comparison to histograms, which display frequency distributions, a box and whisker plot offers a more comprehensive representation of the data's spread and central tendency. By depicting the minimum, maximum, and quartiles, this graphical tool not only highlights the central tendency but also reveals the spread and skewness of the data. Consequently, it serves as a valuable alternative to histograms, offering a more nuanced understanding of the distribution and variability within a dataset.

The upper quadrant would be the set of numbers to the right of your median, if they are in order from least to greatest.

The median is the middle number or the average of the two numbers if you have an even amount of numbers. If you have two that are the same, you do not need to average since they are the same. If they weren't, you would average the two to get the median.

The lower extreme should be the lowest number in the data set, or the minimum number.

The data is ordered, so you just need to find the median or center. When there is an even number of observations (data points), the center is not necessarily part of the data set. That is the case here. Three and 4 are in the middle of the data set but the center point comes halfway between 3 and 4, so it would be 3.5.

Then your first quartile is higher than your range. It doesn't make anything "happen". It doesn't matter either way, as range is not used when making a Box-and-Whisker Plot.

You would write the number as many times as it occurs to make the results accurate.

The whisker is just the line that connects the two points on the side of your box, which are your highest and lowest number in your data set.

Yes, you just have to find the average of the two medians or middle numbers. For example, if the number set is {1,2,3,4,5,5,6,8}, then the two middle numbers would be 4 and 5. Find the average of these two numbers to get the ultimate median of 4.5.

No, they are not. A histogram us used to show frequency table data. These plots are used to show quartiles.

The outliers are just the greatest and smallest numbers in the set.

The interquartile range is Quartile 3 - Quartile 1, which is basically the last third of the data set minus the first third.

First, you put them in order, find the halfway point between the two middle numbers (unless they are both the same, then just put that number), and do the regular process. The rest of the instructions are above.

You would do the same thing, because the size of the list or the size of the numbers doesn't matter.

You would use the 1st number as the lower quartile. For the upper quartile, you would use the 3rd number.

It is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.

No it doesn't. The mean is the average. The mode is the number that is more frequent. The mean average deviation shows the variability of the numbers. That is why the answer is no.

The answer lies in the actual numbers. If it is something like a survey, then the things to look at to find a good quality survey are: 1. Does it have a wide number of test subjects/samples? 2. Does it have a lot of randomness/variety? 3. Is it unbiased?

if you don't include the whiskers, that means that you cannot see what the minimum and maximum numbers are in the data set. The whole point of the plot is to see those, as well as the quartiles and outliers, so no, not really.

First, find the median. Then find the upper quartile from that number to the highest number by finding the median of that. Do the same thing for the lower quartile, except use the lowest number in the data.

Every section of a box plot has an equal amount of data entries in it. So if one box is bigger or wider, that means the range of the data within that box is bigger or the data is more spread out within the box.

Then the median and upper quartile are just the same, just put it on the number line.

The interquartile range is the range of the lower value of the "box" to the highest value. This would exclude the outliers, also called the upper extreme and the lower extreme.

For example, if your data set is from 1-10 and then there's one outlier that is 60, you don't want to have to label your graph from 1-60.

50% of the data is always inside the box. That is how it is on any box and whisker plot.

The lower extreme of a box and whisker plot is always the dot to the left of the plot. That is the minimum.

You just have to count them in on the median. If there are two of the same number, use that number twice when calculating the median. You don't have to do anything differently otherwise.

The numbers have to be an equal number apart, so label from 0-8, with 0.2 number gaps between them, e.g. 0, 02, 0.4, 0.6, 0.8, 1.

A line that is shorter than your box. For example, say this ___ is the length of the vertical side of your box. You would use a line that looked like this __ or this _ because both of those are shorter than your box. Or you could just put a largish dot.

If you meant making multiple box plot for each of those group, then yes. If you meant making one out of the grouped data, then no. In general, a box and whiskers plot aren't used for grouped data.