## What is a box plot example?

Example 1: Draw a box – and-whisker plot for the data set {3, 7, 8, 5, 12, 14, 21, 13, 18}. The box part represents the interquartile range and represents approximately the middle 50% of all the data. The data is divided into four regions, which each represent approximately 25% of the data.

## What does a box plot tell you?

In descriptive statistics, a box plot or boxplot (also known as box and whisker plot ) is a type of chart often used in explanatory data analysis. Box plots visually show the distribution of numerical data and skewness through displaying the data quartiles (or percentiles) and averages.

## How do box plots work?

In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range. the median is marked by a vertical line inside the box. the whiskers are the two lines outside the box that extend to the highest and lowest observations.

## How do you calculate a box 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 solve a box plot problem?

How To Make A Box Plot From A Set Of Data? Order the data from least to greatest. Find the median or middle value that splits the set of data into two equal groups. Find the median for the lower half of the data set. Find the median for the upper half of the data set.

## What does spread mean in box plots?

Range. If you are interested in the spread of all the data, it is represented on a boxplot by the horizontal distance between the smallest value and the largest value, including any outliers. The middle half of a data set falls within the interquartile range.

## What are the advantages of a box plot?

Boxplot Advantages: Summarizes variation in large datasets visually. Shows outliers. Compares multiple distributions. Indicates symmetry and skewness to a degree.

## How do you compare two box plots?

Guidelines for comparing boxplots Compare the respective medians, to compare location. Compare the interquartile ranges (that is, the box lengths), to compare dispersion. Look at the overall spread as shown by the adjacent values. Look for signs of skewness. Look for potential outliers.

## 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.

## Does a box plot show standard deviation?

In addition to showing median, first and third quartile and maximum and minimum values, the Box and Whisker chart is also used to depict Mean, Standard Deviation, Mean Deviation and Quartile Deviation.

## How do you find Q1 and Q3?

Q1 is the middle value in the first half of the data set. Since there are an even number of data points in the first half of the data set, the middle value is the average of the two middle values; that is, Q1 = (3 + 4)/2 or Q1 = 3.5. Q3 is the middle value in the second half of the data set.

## What do whiskers mean in a box plot?

A Box and Whisker Plot (or Box Plot ) is a convenient way of visually displaying the data distribution through their quartiles. The lines extending parallel from the boxes are known as the “ whiskers ”, which are used to indicate variability outside the upper and lower quartiles.

## Where is box plot in Excel?

To create the Box Plot chart: Select cells E3:G3 — the heading cells — then press Ctrl and select E10:G12. On the Excel Ribbon, click the Insert tab, and click Column Chart, then click Stacked Column. If necessary, click the Switch Row/Column command on the Ribbon’s Design tab, to get the box series stacked.

## What statistics are needed to draw a box plot?

To make a box and whisker plot, you’ll need to have the five number summary: minimum, first quartile, median, third quartile, and maximum (these are also known as quartiles).