**Box plot worksheet :**

Worksheet on box plot is much useful to the students who would like to practice problems on dispersion.

1. Make a box-plot for the data given below.

4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4

2. The heights of several students are shown.

Make a box-plot for the data.

**Problem 1 :**

Make a box-plot for the data given below.

4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4

**Solution :**

Making box plot :

**Step 1 : **

Let us write the observations in the data in ascending order.

3.9, 4.1, 4.2, 4.3, 4.3, 4.4, 4.4, 4.4, 4.4, 4.5, 4.5, 4.6, 4.7, 4.8, 4.9, 5.0, 5.1

**Step 2 : **

Number of observations (n) = 17

Let us find lower quartile, upper quartile and median.

**Lower quartile : **

Lower quartile = (n+1)/4 = (17+1)/4 = 18/4 = 4.5

Lower quartile comes in between 4th and 5th observations.

So, lower quartile = average of 4th and 5th observations

Lower quartile = (4.3 + 4.3)/2 = 8.6/2 = 4.3

**Upper quartile : **

Upper quartile = 3(n+1)/4 = 3(17+1)/4 = 54/4 = 13.5

Upper quartile comes in between 13th and 14th observations.

So, upper quartile = average of 13th and 14th observations

Upper quartile = (4.7 + 4.8)/2 = 9.5/2 = 4.75

**Median : **

Median = (n+1)/2 = (17+1)/2 = 18/2 = 9

Median is exactly the 9th observation.

So, median = 4.4

**Step 3 : **

Using lower quartile, upper quartile and median, we can make box-plot graph as given below.

**Problem 2 :**

The heights of several students are shown.

Make a box-plot for the data.

**Solution :**

Making box-plot :

**Step 1 : **

Order the data and find the needed values.

**Step 2 : **

Draw the box-plot.

Draw a number line that includes all the data values.

On the number line, draw dots above the least value, the lower quartile, the median, the upper quartile, and the greatest value.

After having gone through the stuff given above, we hope that the students would have understood "Worksheet on box plot".

Apart from the stuff given above, if you want to know more about "Box and whisker-plot",please click here

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