# What does a box plot show in statistics?

## What does a box plot show in statistics?

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. 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.

Do Boxplots show mean or median?

The left and right sides of the box are the lower and upper quartiles. The box covers the interquartile interval, where 50% of the data is found. The vertical line that split the box in two is the median. Sometimes, the mean is also indicated by a dot or a cross on the box plot.

### What can you not tell from a box plot?

The box plot does not keep the exact values and details of the distribution results, which is an issue with handling such large amounts of data in this graph type. A box plot shows only a simple summary of the distribution of results, so that it you can quickly view it and compare it with other data.

How do you find Q2 and q4?

There are four different formulas to find quartiles:

1. Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
2. Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
3. Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)

#### How do you find Q1 Q2 and Q3 in statistics?

What statistics are needed to draw a box plot?

What statistics are needed to draw a box plot? The median, mean and standard deviation. The minimum, maximum, median, first and third quartiles.

## How do you calculate a box plot?

How do you calculate a Boxplot? Plot a symbol at the median and draw a box between the lower and upper quartiles.Calculate the interquartile range (the difference between the upper and lower quartile) and call it IQ. The line from the lower quartile to the minimum is now drawn from the lower quartile to the smallest point that is greater than L1.

How to calculate box plot?

Box Plot interquartile range: How to find it. Step 1: Find Q1. Q1 is represented by the left hand edge of the “box” (at the point where the whisker stops). Step 2: Find Q3. Step 3: Subtract the number you found in step 1 from the number you found in step 3.

### What are the 5 values for a box plot?

Box plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data. They also show how far the extreme values are from most of the data. A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.