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### Box plot demonstrations:

Firstly answer the questions and then go through the simulation

#### Basic Instructions:

On the basis of a given data, a box plot is drawn. You can use a statistical software like Minitab, where you need to enter the data and then click Graph > Boxplot or Stat > EDA > Boxplot. Choose the other option according to your choice. There are other options such as Graph variables, Categorical variables for grouping, Labels, Data View etc. To see the difference, you can choose different options for the same data.

Choosing different options helps you to see how the box plot is affected. So perform the above procedure and in this way box plots are generated through Minitab. You can also use any other suitable statistical software to draw such box plots. Outliers and Far out values can also be represented in the box plots. So, try to include all possible information through the box plot. #### Detailed Instructions:

Above the upper hinge lies the upper fence and the latter one is 1 step above the former. Also, a step denotes the difference between the upper and lower hinge multiplied by 1.5. H-spread is the difference between upper hinge and lower hinge. The other values such as upper fence (inner and outer), lower fence (inner and outer) can also be found out through Minitab. Upper adjacent and lower adjacent values can also be figured out. Examine if there are any outer value that is beyond the upper inner fence. Far out values are also checked. You can observe far out value by increasing the maximum value to the desired number. Also, if a value is 2 steps above upper hinge, then it is an outer value. Outer values can be obtained by increasing the second highest value to the desired number. Also, if the minimum value of the dataset is decreased to a value such that it becomes an outside value. And also if the minimum value is decreased to a number which is less than the above chosen value it have a tendency to become a far out value.

#### Summary

1. H-spread - It is the difference between the upper hinge (75th percentile) and lower hinge (25th percentile) Step- It is defined as H-spread multiplied by 1.5.

2. Inner fences - Each of the inner fences i.e., lower inner fence and upper inner fence are 1 step below and above the lower and upper hinges respectively.

3. Outer fences – Each of the inner fences i.e., lower outer fence and outer inner fence are 2 steps below and above the lower and upper hinges respectively.

4. Whiskers – It has an extension from the hinges to the adjacent values. #### The Questions you should ask before Performing Simulations:

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