DRAW BOX AND WHISKER PLOT FROM THE GIVEN INFORMATION

To draw the box and whisker plot, we have to follow the instruction given below.

Step 1 :

Arrange the data from least to greatest

Step 2 :

Calculate the median(Q2) which divides the data into two equal parts.

Step 3 :

  • Calculate the lower quartile (Q1) by finding the median of lower half.
  • Calculate the upper quartile (Q3) by finding the median of upper half.

Step 4 :

  • Starting from the least value draw the tail and at least value start drawing box.

Draw a box plot for each of the following.

Problem 1:

boxandwhiskerfrominfoq1

Solution :

Least value = 2

Lower Quartile (Q1) = 7

Median (Q2) = 9

Upper Quartile (Q3) = 10

Highest value = 13

boxandwhiskerfrominfoq1p1

Problem 2 :

boxandwhiskerfrominfoq2

Solution :

Least value = 23

Lower Quartile (Q1) = 30

Median (Q2) = 32

Upper Quartile (Q3) = 34

Highest value = 45

boxandwhiskerfrominfoq2p1

Problem 3 :

boxandwhiskerfrominfoq3

Solution :

Least value = 60

Lower Quartile (Q1) = 81 

Median (Q2) = 100

Upper Quartile (Q3) = 110

Highest value = 170

boxandwhiskerfrominfoq3p1

Draw a box plot for each of the following.

Problem 4 :

boxandwhiskerfrominfoq4

Solution :

Range = largest value - smallest value

3.7 = 5.4 - x

x = 1.7

Smallest value = 1.7

boxandwhiskerfrominfoq4p1

Problem 5 :

boxandwhiskerfrominfoq5

Solution :

Range = largest value - smallest value

20 = x - 6

x = 26

Largest value = 26

Interquartile Range = Upper Quartile - Lower Quartile

5 = 16 - x

x = 11

Lower Quartile = 11

boxandwhiskerfrominfoq5p1

Problem 6 :

boxandwhiskerfrominfoq6

Solution :

Range = largest value - smallest value

70 = 160 - x

x = 90

Smallest value = 90

Interquartile Range = Upper Quartile - Lower Quartile

25 = x - 115

x = 140

Upper Quartile = 140

boxandwhiskerfrominfoq6p1

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