Box Plots: Eduqas GCSE Higher June 2019 Paper 1 Q14

Higher June 2019 Paper 1 Q14

EduqasHigherCurrent spec6 marksBox Plots

14. A garden centre sells fish.
This box plot summarises data about the length, in cm, of a sample of 50 black and white Japanese koi they have for sale.

Box plot of black and white koi length (cm) on a scale from 20 to 80

(a) What is the length of the longest black and white koi? [1]

(b) What is the median length of the black and white koi? [1]

(c) The garden centre also sells red and white Japanese koi.
The table shows information about the length, in cm, of a sample of 50 of the red and white koi they have for sale.

Minimum	Maximum	Lower Quartile	Median	Interquartile range
26	72	42	46	20

Draw a box plot to represent this data on the grid below. [3]

Blank grid for red and white koi length (cm) from 20 to 80

(d) The garden centre calls its koi ‘mature’ if they are more than 48 cm in length.
Which of the two samples of fish contains more ‘mature’ koi?

Black and white ☐ Red and white ☐

Explain how you decide. [1]

Scheme	Marks	Comments
70 (cm)	B1

Scheme	Marks	Comments
58 (cm)	B1

Scheme	Marks	Comments
Left whisker 26 and right at 72	B1
UQ 62	B1	si
LQ 42, median 46 and UQ 62 in a box plot	B1	Must be seen in a correct box plot, FT ‘their stated 62’

Mark scheme (d)

Scheme	Marks	Comments
Black and White indicated with valid reason e.g. ‘no more than half the red and white koi are greater than 48 whereas ¾ of the black and white are greater than 50’.	E1	Justification must be complete and if using e.g. lower quartiles they must interpret these as being 25% oe Allow e.g. ‘less than half the red and white koi are greater than 48 whereas ¾ of the black and white are greater than 50’.
	(6)