# What is a box and whisker plot?

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

Similarly one may ask, what does the box and whisker plot tell you?

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. In a box and whisker plot: the ends of the box are the upper and lower quartiles, so the box spans the interquartile range.

What does a box plot show?

Box Plot: Display of Distribution. The box plot (a.k.a. box and whisker diagram) is a standardized way of displaying the distribution of data based on the five number summary: minimum, first quartile, median, third quartile, and maximum.

What is a five number summary in a box and whisker plot?

In this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. The key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

## What does a line plot show?

A line plot is a graph that shows the frequency of data occurring along a number line. Line plots provide a quick and easy way to organize data and are best used when comparing fewer than 25 different numbers.

## How do you find an outlier?

A point that falls outside the data set’s inner fences is classified as a minor outlier, while one that falls outside the outer fences is classified as a major outlier. To find the inner fences for your data set, first, multiply the interquartile range by 1.5. Then, add the result to Q3 and subtract it from Q1.

## How do you work out the upper quartile?

• Use the median to divide the ordered data set into two halves. If there are an odd number of data points in the original ordered data set, do not include the median (the central value in the ordered list) in either half.
• The lower quartile value is the median of the lower half of the data.
• ## What is a stem plot?

A Stem and Leaf Plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).

## How do you find the first quartile?

To find the quartiles of this data set, use the following steps:

• Order the data from least to greatest.
• Find the median of the data set and divide the data set into two halves.
• Find the median of the two halves.
• ## How do you draw a histogram?

To make a histogram, follow these steps:

• On the vertical axis, place frequencies. Label this axis “Frequency”.
• On the horizontal axis, place the lower value of each interval.
• Draw a bar extending from the lower value of each interval to the lower value of the next interval.
• ## What is the meaning of quartile in math?

The values that divide a list of numbers into quarters. In {2, 4, 4, 5, 6, 7, 8} : · Quartile 1 (Q1) = 4. · Quartile 2 (Q2), which is also the Median, = 5. · Quartile 3 (Q3) = 7.

## What does a box and whisker plot consist of?

In this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. The key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

## What is the definition of a box and whisker plot in math?

Math Dictionary: Box-and-Whisker Plot. Box-and-Whisker Plot: a graphic way to display the median, quartiles, and extremes of a data set on a number line to show the distribution of the data.

## How do you make a box and whisker plot step by step?

• Box-and-whisker plots are a handy way to display data broken into four quartiles, each with an equal number of data values.
• Step 1: Order the data from least to greatest.
• Step 2: Find the median of the data.
• Step 3: Find the median of the data less than Q2.
• Find the median of the data greater than Q2.
• ## What does the box in a box and whisker plot represent?

Here are the data represented in box and whisker plot format. Left: The center represents the middle 50%, or 50th percentile of the data set and is derived using the lower and upper quartile values. The median value is displayed inside the “box.”

## What is the middle line in a box and whisker plot?

The body of the boxplot consists of a “box” (hence, the name), which goes from the first quartile (Q1) to the third quartile (Q3). Within the box, a vertical line is drawn at the Q2, the median of the data set. Two horizontal lines, called whiskers, extend from the front and back of the box.

## What are the extremes in a box and whisker plot?

A box-and-whisker plot uses five special values to give a graphic picture of a set of data. These five values are the median, the upper quartile, the lower quartile, the upper extreme, and the lower extreme.

## What is the definition of median in math?

To find the Median, place the numbers you are given in value order and find the middle number. Example: find the Median of {13, 23, 11, 16, 15, 10, 26}. Put them in order: {10, 11, 13, 15, 16, 23, 26} The middle number is 15, so the median is 15. (If there are two middle numbers, you average them.)

## How do you calculate the median?

To find the median number:

• Put all the numbers in numerical order.
• If there is an odd number of results, the median is the middle number.
• If there is an even number of results, the median will be the mean of the two central numbers.
• ## What is the median of a set of data?

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

## How do you find the mean median and mode?

The “median” is the “middle” value in the list of numbers. To find the median, your numbers have to be listed in numerical order from smallest to largest, so you may have to rewrite your list before you can find the median. The “mode” is the value that occurs most often.

## How do you find the median in statistics?

To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list. To find the mode, identify which value in the data set occurs most often.

## What is the range of data in a box and whisker plot?

The “interquartile range”, abbreviated “IQR”, is just the width of the box in the box-and-whisker plot. That is, IQR = Q3 – Q1 . The IQR can be used as a measure of how spread-out the values are. These “too far away” points are called “outliers”, because they “lie outside” the range in which we expect them.

Originally posted 2022-03-31 05:13:19.

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