Pearson Edexcel Level 1/Level 2 GCSE (9–1) Statistics

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Pearson Edexcel Level 1/Level 2 GCSE (9?1)

Statistics

Paper 1

Candidate Number

Specimen Papers Set 1

Time: 1 hour 30 minutes

Higher Tier

Paper Reference

1ST0/1H

You must have: Ruler graduated in centimetres and millimetres, protractor, pen, HB pencil, eraser, scientific calculator.

Total Marks

Instructions

Use black ink or ball-point pen.

?? Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions.

?? Answer the questions in the spaces provided ? there may be more space than you need. Scientific calculators may be used.

?? You must show all your working out with your answer clearly identified at the end of your solution.

Information

The total mark for this paper is 80

?? The marks for each question are shown in brackets ? use this as a guide as to how much time to spend on each question.

Advice

Read each question carefully before you start to answer it.

? Try to answer every question. ?? Check your answers if you have time at the end.

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?2018 Pearson Education Ltd.

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Higher Tier Formulae You must not write on this page. Anything you write on this page will gain NO credit.

Skew

=

3(mean - median) standard deviation

Standard deviation =

1

n

(x

-

x )2

An alternative formula for standard deviation is

( ) x 2 x 2

standard deviation = n - n

Spearman's rank correlation coefficient

rs

=

1

-

6d 2 n(n2 - 1)

Rates

of

change

(e.g.

Birth

rate

=

number of births ? 1000 total population

)

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2

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Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 The Venn diagram shows information about 20 films shown in the UK in 2015 A is the event that the film was produced in the UK. B is the event that the film made more than ?40 million.

The numbers in the Venn diagram indicate the number of films.

A

B

5

3

2

10

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(Source: BFI Statistical Yearbook)

(a) Explain fully what the number 3 represents in the Venn diagram.

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(1)

One of the films is chosen at random.

(b) Find P(B)

(c) Find P(B | A)

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(1)

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(2)

(d) Using your answers to part (b) and part (c), explain whether or not A and B are independent events.

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(2)

(Total for Question 1 is 6 marks)

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2 There are 11727 students at a university. Their nationality is classified as UK, EU or International.

The table shows information about the nationality of these students.

Nationality

UK

EU

International

Total

Number of students

9393

979

1355

11727

(Source: ox.ac.uk)

The manager of a book shop wants to carry out a survey into the books read by the students at this university.

She is going to take a sample of 600 of these students.

The manager plans to sample 200 UK students, 200 EU students and 200 International students.

(a) Write down the name of this method of sampling.

(b) Give a reason why this method of sampling might not be appropriate.

.......................................................

(1)

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(1)

A shop assistant suggests that it would be better to select a sample of 600 students, stratified by nationality.

(c) Work out how many EU students there should be in this sample.

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(2)

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Three students, Amy, Beth and Carlos, bought the same eight books from the book shop.

The manager asked Amy, Beth and Carlos to rank these eight books in increasing order of how much they each enjoyed them.

The manager calculated the Spearman's rank correlation coefficient for the ranks given by Amy and Beth.

She got a result of 1.2

(d) Explain how you know that this result is not correct.

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(1)

The manager also calculated the Spearman's rank correlation coefficient for the ranks given by Beth and Carlos.

She got a result of 0.74

(e) (i) What type of correlation is shown by this result?

(ii) Interpret this result.

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(2)

(Total for Question 2 is 7 marks)

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5

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