Rounding: WJEC GCSE Numeracy Foundation June 2017 Unit 1 Q1

Numeracy Foundation June 2017 Unit 1 Q1

WJECFoundationCurrent spec4 marksRounding

1. Owen buys houses in Wales. He then rents them out to people.
He uses a website to find the average price for a detached house in 6 different counties.

Average House Prices (November 2015)

County	Average house price (£)
Anglesey	171 684
Carmarthenshire	158 973
Powys	199 998
Cardiff	269 885
Neath Port Talbot	144 762
Ceredigion	182 852

(a) Calculate the difference between the average house price in the most expensive county and least expensive county.
Give your answer correct to the nearest £1000. [2]

(b) Owen says,

“The average house price in four of the counties is less than £180 000.”

Is Owen correct?
Give a reason for your answer. [1]

£199 990 £199 900 £199 000 £190 000 £200 000

Scheme	Marks	Comments
(£)125000	B2	Award B1 for sight of 125123 For B1: FT their answer to 269885 - 144762 correctly rounded to the nearest 1000 Allow B1 for sight of 270000 and 145000

Mark scheme (b)

Scheme	Marks	Comments
No stated or implied with correct reason given, e.g. ‘No because (only) Anglesey, Carmarthenshire and Neath Port Talbot are less than £180000’ ‘No because (only) £171684, £158973 and £144762 are less than £180000’ ‘No because there are (only) 3 prices less than £180000’ ‘No because there are 3 prices more than £180000’ ‘No because there are 3 prices less than £180000 and 3 prices more than £180000’ ‘No because ½ of them are more than £180000’ ‘No because ½ of them are less than £180000’ ‘No Cardiff, Powys and Ceredigion are more than £180000’	E1	The statement given must imply 3 or ½ Allow e.g. ‘No only 3 countries are less than £180000’ If yes stated or implied E1 may be awarded provided reason clearly implies ‘no’. e.g. ‘He is correct because ½ the houses are less than £180000’ (contradiction) Do not allow ‘Owen correct because average house price in Neath Port Talbot is £144762’ ‘No Owen not correct because some of the houses are over £180000 like Cardiff and some are less than’ Note: Candidates may refer to the counties as houses, prices, countries……..