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(Q_{2}) which divides the data into two equal parts.
Step 3 :
Step 4 :
Draw a box plot for each of the following.
Problem 1:
Solution :
Least value = 2
Lower Quartile (Q_{1}) = 7
Median (Q_{2}) = 9
Upper Quartile (Q_{3}) = 10
Highest value = 13
Problem 2 :
Solution :
Least value = 23
Lower Quartile (Q_{1}) = 30
Median (Q_{2}) = 32
Upper Quartile (Q_{3}) = 34
Highest value = 45
Problem 3 :
Solution :
Least value = 60
Lower Quartile (Q_{1}) = 81
Median (Q_{2}) = 100
Upper Quartile (Q_{3}) = 110
Highest value = 170
Draw a box plot for each of the following.
Problem 4 :
Solution :
Range = largest value - smallest value
3.7 = 5.4 - x
x = 1.7
Smallest value = 1.7
Problem 5 :
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
Problem 6 :
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
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM