# FIND THE DETAILS FROM THE BOX AND WHISKER PLOT

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

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

Range = Greatest value - smallest value

Interquartile range = Q3 - Q1

Problem 1 :

For each box plot below, find the

(i) median, (ii) Interquartile range, (iii) range

Solution :

(i)           Median

Median = 50 score

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 55 - 39

Interquartile range = 16

(iii)        Range

Range = Largest value - smallest value

= 68 - 30

Range = 38 score

Problem 2 :

Solution :

(i)           Median

Median = 98

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 120 - 90

Interquartile range = 30

(iii)        Range

Range = Largest value - smallest value

= 158 - 70

Range = 88 cm

Problem 3 :

Solution :

(i)           Median

Median = 1.2

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 1.5 - 1

Interquartile range = 0.5

(iii)        Range

Range = Largest value - smallest value

= 3.5 - 0.2

Range = 3.3 km

Problem 4 :

Solution :

(i)           Median

Median = 18

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 20 - 16

Interquartile range = 4

(iii)        Range

Range = Largest value - smallest value

= 22.5 - 4.5

Range = 18 kg

Solution :

(i)           Median

Median = 14

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 17 - 12

Interquartile range = 5

(iii)        Range

Range = Largest value - smallest value

= 19 - 10

Range = 9

Problem 6 :

Solution :

(i)           Median

Median = 36

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 38 - 32

Interquartile range = 6

(iii)        Range

Range = Largest value - smallest value

= 39 - 31

Range = 8

Problem 7 :

Solution :

(i)           Median

Median = 25

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 27 - 22.5

Interquartile range = 4.5

(iii)        Range

Range = Largest value - smallest value

= 28 - 21

Range = 7

Problem 8 :

Solution :

(i)           Median

Median = 55

(ii)          Interquartile range

Interquartile range = Q3 - Q1

= 57.5 - 54

Interquartile range = 3.5

(iii)        Range

Range = Largest value - smallest value

= 58 - 52

Range = 6

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