Averages (including IQR): Eduqas GCSE Higher June 2023 Paper 2 Q3

Higher June 2023 Paper 2 Q3

EduqasHigherCurrent spec4 marksAverages (including IQR)Basic Probability

3. Eric is carrying out a survey for a company that makes energy drinks, Pop and Whizz.
He asks 200 randomly selected adults to complete his survey.

(a) Pop costs £1 per bottle.
As part of his survey, Eric wants to find out how much money each month adults spend on Pop.

In the box below, write a suitable question for his survey to collect this information.
You must include response boxes. [2]

(b) In another question, he asks the 200 adults how many bottles of Whizz they buy each month.
The table shows the results for the 200 adults.

		Number of bottles
		0	1 to 4	5 to 10	more than 10
Age (years)	18 to 25	26	12	6	6
	26 to 35	29	34	41	2
	older than 35	32	11	1	0

Find the probability that an adult chosen at random from these 200

(i) does not buy Whizz, [1]

(ii) is 26 to 35 years old and buys 5 or more bottles of Whizz each month. [1]

Mark scheme (a)

Scheme	Marks	Comments
An appropriately worded question e.g. How much money do you spend each month on Pop? AND An appropriate set of response boxes (£)0 (£)1 – (£)3 (£)4 – (£)6 More than (£)6	B2	Question must include ‘each month’ oe, Allow ‘how many bottles’ A minimum of 3 response boxes which must cover all options including 0 AND ‘no upper limit’ AND no overlap Award B1 for an appropriately worded question with no more than ‘one identified error’ from above response boxes Award SC1 for question that includes ‘per week’ or ‘per day’ and fully correct set of response boxes.

Mark scheme (b)

Scheme	Marks	Comments
(b)(i) \(\dfrac{87}{200}\) or 0.435 or 43.5%	B1
(b)(ii) \(\dfrac{43}{200}\) or 0.215 or 21.5%	B1	Note: Allow SC1 for both answers correct but in incorrect form. i.e. ’87 out of 200’ AND ’43 out of 200’
	(4)