A-level Mathematics; A-level Statistics Question paper ...

Centre Number Surname Other Names Candidate Signature

Candidate Number

General Certificate of Education Advanced Subsidiary Examination June 2015

Mathematics

Unit Statistics 1B Wednesday 3 June 2015 9.00 am to 10.30 am

MS1B

For this paper you must have: * the blue AQA booklet of formulae and statistical tables. You may use a graphics calculator.

Time allowed * 1 hour 30 minutes

Instructions * Use black ink or black ball-point pen. Pencil should only be used for

drawing. * Fill in the boxes at the top of this page. * Answer all questions. * Write the question part reference (eg (a), (b)(i) etc) in the left-hand

margin. * You must answer each question in the space provided for that

question. If you require extra space, use an AQA supplementary answer book; do not use the space provided for a different question. * Do not write outside the box around each page. * Show all necessary working; otherwise marks for method may be lost. * Do all rough work in this book. Cross through any work that you do not want to be marked. * The final answer to questions requiring the use of tables or calculators should normally be given to three significant figures.

Information * The marks for questions are shown in brackets. * The maximum mark for this paper is 75. * Unit Statistics 1B has a written paper only.

Advice * Unless stated otherwise, you may quote formulae, without proof, from

the booklet. * You do not necessarily need to use all the space provided.

For Examiner's Use

Examiner's Initials

Question

Mark

1

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7

TOTAL

(JUN15MS1B01)

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Answer all questions. Answer each question in the space provided for that question.

Do not write outside the

box

1

The table shows the annual gas consumption, x kWh, and the annual electricity

consumption, y kWh, for a sample of 10 bungalows of similar size and occupancy.

x 21 371 18 521 15 222 17 312 19 854 23 561 20 738 22 111 17 897 24 523 y 2281 2327 2221 2378 2787 2856 3078 2647 2566 2559

Sxx ? 76 581 640 Syy ? 694 250 Sxy ? 3 629 670

(a) Calculate the value of rxy, the product moment correlation coefficient between x and y.

[2 marks]

(b) Interpret your value of rxy in the context of this question.

[2 marks]

QUESTION PART

Answer space for question 1

REFERENCE

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(02)

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QUESTION Answer space for question 1 PART REFERENCE

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(03)

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(a) (b)

Do not write

4

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The table summarises the diameters, d millimetres, of a random sample of 60 new

cricket balls to be used in junior cricket.

Diameter (d mm) 65 < d 4 66 66 < d 4 67 67 < d 4 68 68 < d 4 69 69 < d 4 70 70 < d 4 71 71 < d 4 72

Total

Number of cricket balls 5 9

12 15 10 7 2 60

Calculate estimates of the mean and the variance of these 60 diameters. [4 marks]

David, a retired professional cricketer, requests that the values calculated in part (a) are expressed in inches, rather than in millimetres.

Given that 1 inch is equivalent to approximately 25.4 mm, calculate new values for the mean and the variance in response to David's request.

[2 marks]

QUESTION PART

Answer space for question 2

REFERENCE

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QUESTION Answer space for question 2 PART REFERENCE

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(05)

P/Jun15/MS1B

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