Averages (including IQR): Eduqas GCSE Higher November 2017 Paper 1 Q2

Higher November 2017 Paper 1 Q2

EduqasHigherCurrent spec5 marksAverages (including IQR)

(a) Tina is carrying out a survey to find out how people use their mobile phones.

(i) Here is a question from her survey.

What do you use your mobile phone to do?
Tick (✓) one box.

Text ☐ Call ☐ Take a photo ☐

State one criticism of this question. [1]

(ii) Here is a different question from her survey.

How often do you use your mobile phone?
Tick (✓) one box.

All the time ☐ A lot ☐ Not much ☐ Never ☐

State one criticism of this question. [1]

(b) Tina surveyed 205 students about the cost of their monthly phone bills.
The table shows this information.

	Number of students	Lowest bill	Mean bill	Highest bill
Pay-as-you-go	100	£5	£12.75	£70
SIM only	100	£15	£16.25	£18
Monthly contract	5	£28	£40	£60

(i) Comment on how reliable the data about Monthly contracts are likely to be. [1]

(ii) Using the data in the table, Tina compares the cost of Pay-as-you-go with the cost of SIM only.
Tina says that students who use Pay-as-you-go have both the lowest and highest bills.

Make further comments to explain why Tina may think

SIM only is a better deal,
Pay-as-you-go is a better deal. [2]

Complete each of the following statements.

SIM only could be a better deal because …

Pay-as-you-go could be a better deal because …

Mark scheme (a)

Scheme	Marks	Comments
(i) Valid criticism about the instruction or response boxes. e.g. ‘You may want to tick more than one box.’ or ‘You may have used it to do something else like go on the internet.’ or ‘You may not have done any of these things.’	E1	Do not allow e.g. ‘They may not have a mobile phone.’
(ii) Valid criticism about the vagueness of the times used e.g. ‘It does not say what a lot means.’	E1

Mark scheme (b)

Scheme	Marks	Comments
(i) Valid comment. e.g. ‘Not reliable as only 5 students.’ or ‘Not very reliable, she needs to ask more people’	E1
(ii) SIM only is better because e.g. ‘the bills are less varied (as the range is £3 compared to £65 for Pay-as-you-go.)’ or ‘SIM only bills are all about the same’ or ‘Pay-as-you-go bills are more spread out’.	E1	Do not allow e.g. ‘it has the cheaper highest bill.’
Pay-as-you-go is better because e.g. ‘the average monthly cost is less (as the mean is £12.75 compared to £16.25 for SIM only.’ or ‘Most Pay-as-you-go bills will be less than £12.75’ or ‘The mean Pay-as-you-go bill is lower than the lowest SIM only bill.’	E1	Do not allow e.g. ‘it has the cheaper lowest bill.’
	(5)