## Quartiles, Boxes, and Whiskers

The median of the entire set is the sum of Q1, Q2, and Q3. Since there are seventeen values in this list, the ninth value is the list’s middle value. The “box” contains the middle portion of your data, while the “whiskers” show how large the “spread” of the data.

## How do you draw 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 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 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)

## 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 does a box plot tell you?

A boxplot is a standardized way of displaying data distribution based on a five-number summary (u201cminimumu201d, first quartile (Q1), median, third quartile (Q3), and u201cmaximumu201d), and it can also tell you if your data is symmetrical, how tightly your data is grouped, and if and how your data is skewed.

## 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 compare two box and whisker plots?

To compare two box-and-whisker plots, look first at the boxes and median lines to see if they overlap, then look at the sizes of the boxes and whiskers to get a sense of ranges and variability, and finally, look for outliers if any exist.

## How do you interpret a box plot skewness?

Skewed data is represented by a lopsided boxplot in which the median divides the box into two unequal pieces; the data is said to be skewed right if the longer part of the box is to the right (or above) the median, and skewed left if the longer part is to the left (or below) the median.

## What is Q1 Q2 Q3 Q4?

January, February, and March (Q1) April, May, and June (Q2) July, August, and September (Q3) October, November, and December (Q4) are the standard calendar quarters that make up the year.

## How do you find quartile 3?

Put the list of numbers in order, then cut it into four equal parts, with all the quartiles being between numbers:

- Quartile 1 (Q1) equals (4 4)/2 = 4.
- Quartile 2 (Q2) equals (10 11)/2 = 10.5.
- Quartile 3 (Q3) equals (14 16)/2 = 15.