## How to Make a Box and Whisker Plot

The median is the middle number in a data set when written from least to greatest; in our example, the median of 1 and 2 is (1 2) / 2 = 1.5; the median of 7 and 9 u2014 the two middle numbers u2014 add them up and divide them by 2; and the median of 7 and 9 u2014 the two middle numbers u2014 add them up and divide them by 2. Draw a plot line and mark your first, second, and third quartiles.

## How do you construct a box plot?

Use a horizontal or vertical number line and a rectangular box to create a box plot, with the smallest and largest data values labeling the axis’ endpoints, and the first and third quartiles marking one end of the box and the other end of the box, respectively.

## What are the five steps to creating a box and whisker plot?

A box and whisker plot, also known as a box plot, shows the minimum, first quartile, median, third quartile, and maximum of a set of data. In a box plot, we draw a box from the first quartile to the third quartile, with a vertical line passing through the box at the median.

## How many points do you need to draw a box whisker plot?

We have everything we need to draw a simple box-and-whisker plot once we’ve found these three points, Qsub>1/sub>, Qsub>2/sub>, and Qsub>3/sub>.

## Is the mean shown in a box plot?

A boxplot, also known as a box and whisker plot, is a method of displaying the spread and centers of a data set. Measures of spread include the interquartile range and mean of the data set, while measures of center include the mean or average and median (the middle of a data set).

## How do you compare box plots?

Comparison rules for boxplots

- 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.

## How do you find Q1 and Q3?

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

## What is the lower quartile in math?

When data points are arranged in increasing order, the lower quartile, or first quartile (Q1), is the value under which 25% of data points are found, while the upper quartile, or third quartile (Q3), is the value under which 75% of data points are found.

## How do you find the box and whisker plot?

The length of the upper whisker is the largest value that is no greater than the third quartile plus 1.5 times the interquartile range; in this case, the third quartile plus 1.5 times the IQR is 10 1.5*6 = 19.

## How do you find Q1 Q2 and Q3?

Formula for the Quartile:

- Lower quartile (Q1) = N 1 multiplied by (1) divided by (4)
- Middle quartile (Q2) = N 1 multiplied by (2) divided by (4)
- Upper quartile (Q3) = N 1 multiplied by (3) divided by (4)
- Interquartile range = Q3 (upper quartile) u2013 Q1 (lower quartile)

## What are box and whisker plots used for in real life?

In the real world, you can use a “box and whisker plot” to compare two things; for example, if you want to compare which phone is worth it, you can do so by taking the average of how many people buy the better phone.

## What do line plots mean?

A line graph, also known as a line plot or a line chart, is a graph that displays quantitative values over a specified time interval and uses lines to connect individual data points.

## How do you find the 1st quartile?

The lower quartile is also known as the 1sup>st/sup> quartile. The 2sup>nd/sup> quartile is the same as the median, which divides data into two equal parts. The 3sup>rd/sup> quartile is also known as the upper quartile.

- First Quartile(Q1) = ((n 1)/4)sup>t/sup>sup>h/sup> Term.
- Second Quartile(Q2) = ((n 1)/2)sup>t/sup>sup>h/sup> Term.
- Third Quartile(Q3) = (3(n 1)/4)sup>t/sup>sup>h/sup>

## What are quartiles in box plots?

A quartile is a number, not a range of values; data can be described as “above” or “below” the first quartile, but data is never “in” the first quartile.