Contents

- 1 What are box plots best used for?
- 2 What can Boxplots be used to detect?
- 3 When would you choose a box plot over a histogram?
- 4 What is the role of the box plots in statistics?
- 5 What do whiskers represent in a box plot?
- 6 How do you explain a box plot?
- 7 What does spread mean in box plots?
- 8 Does a box plot show standard deviation?
- 9 How do you compare two box plots?
- 10 What is the difference between a box plot and a dot plot?
- 11 What type of data is best displayed in a histogram?
- 12 When would you use a histogram?
- 13 Which type of data is best displayed in a box plot?
- 14 What are quartiles in box plots?
- 15 What does it mean when box plots overlap?

## What are box plots best used for?

**Box plots** divide the data into sections that each contain approximately 25% of the data in that set. **Box plots** are useful as they provide a visual summary of the data enabling researchers to quickly identify mean values, the dispersion of the data set, and signs of skewness.

## What can Boxplots be used to detect?

A **boxplot can** show whether a data set is symmetric (roughly the same on each side when cut down the middle) or skewed (lopsided). A symmetric data set shows the median roughly in the middle of the box. The median, part of the five-number summary, is shown by the line that cuts through the box in the **boxplot**.

## When would you choose a box plot over a histogram?

Although **histograms are** better in displaying the distribution of data, **you can** use a **box plot** to tell if the distribution is symmetric or skewed. In a symmetric distribution, the mean and median **are** nearly the same, and the two whiskers has almost the same length.

## What is the role of the box plots in statistics?

In descriptive **statistics**, a **box plot** or **boxplot** is a method for graphically depicting groups of numerical data through their quartiles. **Box plots** may also have lines extending from the **boxes** (whiskers) indicating variability outside the upper and lower quartiles, hence the terms **box**-and-whisker **plot** and **box**-and-

## What do whiskers represent 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.

## How do you explain a box plot?

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.

## What does spread mean in box plots?

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. In the **boxplot** above, data values range from about 0 (the smallest non-outlier) to about 16 (the largest outlier), so the range **is** 16.

## 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 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.

## What is the difference between a box plot and a dot plot?

**Dot plots** show all values **in the** set. **Box plots** show a “five statistical summary” of the data set, dividing the data into quarters (25%). From left to right on the **diagram**: minimum, first quartile, median (or second quartile), third quartile, and maximum.

## What type of data is best displayed in a histogram?

**Histogram**: a graphical **display** of **data** using bars of different heights. It is similar to a Bar Chart, but a **histogram** groups numbers into ranges. The height of each bar shows how many fall into each range.

**Histograms** are a **great** way to show results of continuous **data**, such as:

- weight.
- height.
- how much time.
- etc.

## When would you use a histogram?

**When to Use** a **Histogram**

**Use** a **histogram** when: The data are numerical. You want to see the shape of the data’s distribution, especially when determining whether the output of a process is distributed approximately normally.

## Which type of data is best displayed in a box plot?

Answer: Option D is the answer. Step-by-step explanation: The **box plot** is a **type** of **graph** that is used to show the shape of a distribution, the central value, and its variability.

## What are quartiles in box plots?

**Quartiles** are the values that divide a list of numbers into quarters: Put the list of numbers in order. Then cut the list into four equal parts.

## What does it mean when box plots overlap?

**Overlap** is the degree of **overlap** between the two IQRs Remember that the median is the mid-point of the data and is shown by the line that divides the **box** into two parts. Half the scores are greater and half are less than this number. Upper quartile is the 75% point and is the line on the. right of the **box**.