# Quick Answer: How Do You Compare Two Box Plots?

## What do box plots show?

A box and whisker plot (sometimes called a boxplot) is a graph that presents information from a five-number summary.

It is often used in explanatory data analysis.

This type of graph is used to show the shape of the distribution, its central value, and its variability..

## What is the difference between a box plot and a box and whisker plot?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. … In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

## Why is a box plot better than a histogram?

Histograms and box plots are very similar in that they both help to visualize and describe numeric data. Although histograms are better in determining the underlying distribution of the data, box plots allow you to compare multiple data sets better than histograms as they are less detailed and take up less space.

## What does a positively skewed box plot mean?

Positively Skewed : For a distribution that is positively skewed, the box plot will show the median closer to the lower or bottom quartile. A distribution is considered “Positively Skewed” when mean > median. It means the data constitute higher frequency of high valued scores.

## What is the interquartile range in box and whisker plot?

The interquartile range is the difference between the upper quartile and the lower quartile. In example 2, the IQR = Q3 – Q1 = 77 – 64 = 13. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.

## How do you know which Boxplot is more consistent?

A boxplot can show whether a data set is symmetric (roughly the same on each side when cut down the middle) or skewed (lopsided). A symmetric data set shows the median roughly in the middle of the box. The median, part of the five-number summary, is shown by the line that cuts through the box in the boxplot.

## Which box plot is better?

Short boxes mean their data points consistently hover around the center values. Taller boxes imply more variable data. That’s something to look for when comparing box plots, especially when the medians are similar. Wider ranges (whisker length, box size) indicate more variable data.

## Does a box plot show standard deviation?

In a somewhat similar fashion you can estimate the standard deviation based on the box plot: the standard deviation is approximately equal to the range / 4. the standard deviation is approximately equal to 3/4 * IQR.

## How do you find q1 and q3?

Q1 is the median (the middle) of the lower half of the data, and Q3 is the median (the middle) of the upper half of the data. (3, 5, 7, 8, 9), | (11, 15, 16, 20, 21). Q1 = 7 and Q3 = 16. Step 5: Subtract Q1 from Q3.

## Can Excel make box and whisker plots?

Excel doesn’t offer a box-and-whisker chart. Instead, you can cajole a type of Excel chart into boxes and whiskers. Instead of showing the mean and the standard error, the box-and-whisker plot shows the minimum, first quartile, median, third quartile, and maximum of a set of data. … The median divides the box.

## What does a side by side Boxplot look like?

Also known as a parallel boxplot or comparative boxplot, a side-by-side boxplot is a visual display comparing the levels (the possible values) of one categorical variable by means of a quantitative variable.

## How do you describe a Boxplot shape?

The box plot shape will show if a statistical data set is normally distributed or skewed. When the median is in the middle of the box, and the whiskers are about the same on both sides of the box, then the distribution is symmetric.

## How do you make a box and whiskers plot?

To create a box-and-whisker plot, we start by ordering our data (that is, putting the values) in numerical order, if they aren’t ordered already. Then we find the median of our data. The median divides the data into two halves. To divide the data into quarters, we then find the medians of these two halves.

## How do you read a box and whisker plot?

Definitions. The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts. Half the scores are greater than or equal to this value and half are less. The middle “box” represents the middle 50% of scores for the group.