Pearson LCCI Level 2 Certificate in Business Statistics (VRQ)

[Pages:48]L2 Pearson LCCI Level 2 Certificate in Business Statistics (VRQ)

(ASE20096)

SAMPLE ASSESSMENT MATERIALS

Issue 2

For first teaching from September 2015

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This sample assessment material is Issue 2. Key changes are sidelined in the document. We will inform centres of any changes to this issue. The latest issue can be found on our website, qualifications. Acknowledgements References to third party material made in this specification are made in good faith. Pearson does not endorse, approve or accept responsibility for the content of materials, which may be subject to change, or any opinions expressed therein. (Material may include textbooks, journals, magazines and other publications and websites.) All information in this specification is correct at time of publication.

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Pearson LCCI

Certificate in Business Statistics (VRQ)

Level 2

Sample assessment material for first teaching September 2015

Time: 2 hours 30 minutes

Paper Reference

ASE20096

Complete the details below in block capitals.

Candidate name

Centre Code

Candidate Number

Candidate ID Number

You must have: statistical formulae sheet (enclosed), HB pencil, eraser

Total Marks

Instructions

? Use black ink or ball-point pen ? ? pencil can only be used for graphs, charts, diagrams, etc.

Fill in the boxes at the top of this page with your name, candidate number,

centre code and your candidate ID number.

Answer all questions.

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

Answers should be given to an appropriate degree of accuracy.

Information

The total mark for this paper is 100.

?? The marks for each question are shown in brackets ? use this as a guide as to how much time to spend on each question. A formulae sheet is provided at the front of the question paper.

?? Calculators may be used.

Advice

Read each question carefully before you start to answer it.

? Try to answer every question. ? You are advised to show your workings. ?? Check your answers if you have time at the end.

Turn over

S48185A

?2015 Pearson Education Ltd.

*S48185A0126*

1/1/1Pearson LCCI Level 2 Certificate in Business Statistics

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Sample Assessment Materials ? Issue 2 ? September 2015 ? Pearson Education Limited 2015

Pearson LCCI Level 2 Certificate in Business Statistics Formula sheet

(

(

Median for grouped data

( lm

+

cm fm

n

2

Fm

1

where lm , cm and fm are the lower boundary, width and frequency respectively of the median class, n is the total number of observations and Fm 1 is the cumulative frequency corresponding to lm .

Mean for ungrouped data x

x n

Mean for grouped data x

fx f

Standard deviation for ungrouped data S

Standard deviation for grouped data S

Quartile deviation Q3 Q1 2

Mean deviation

f

x mean f

Coefficient of variation

s x

100

x2 n

(x)2

( f x 2

f

fx 2 f

Product moment correlation coefficient r

n xy x y

n x2 x 2 n y2

y2

Spearman's rank correlation coefficient rs

1

6 d2 n(n2 1)

Least Squares regression line y b

a bx

n xy n x2

xy x 2

y bx

a

n

n

Laspeyres index Paasche index Weighted index

Price

p1 q0 p0 q0

100

p1 q1 p0 q1

100

WI

W

Quantity

p0 q1 p0 q0

100

p1 q1 p1 q0

100

Multiplication rule of probability P ( A B ) P ( A) P (B ) if A and B independent

Addition rule of probability P ( A B ) P ( A ) P (B ) P ( A B )

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*S48185A0226* Pearson LCCI Level 2 Certificate in Business Statistics

Sample Assessment Materials ? Issue 2 ? September 2015 ? Pearson Education Limited 2015

Answer ALL questions. Write your answers in the spaces provided. 1 Businesses rely on data to help them function profitably.

(a) Define the following types of data: (i) primary (1)

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

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

(ii) secondary. (1)

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(b) Complete the table stating one example and one advantage for each source of data (primary and secondary). (4)

Source

Example

Advantage

Primary

Secondary

*S48185A0326* Pearson LCCI Level 2 Certificate in Business Statistics

Sample Assessment Materials ? Issue 2 ? September 2015 ? Pearson Education Limited 2015

33

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The table below shows the breakdown of the costs of car fuel, as provided by a national retailer.

Retailer margin Cost of refining Sales tax Cost of oil Duty

Costs per litre 7.3 p 1.5 p

22.4 p 45.1 p 58.0 p

The editor of a motoring magazine wants to represent this information using a pie chart.

(c) Calculate the angles, representing this information in a pie chart for:

(i) duty (2)

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

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

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

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

(ii) cost of refining. (2)

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

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

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

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Sales tax and duty are government taxes.

(d) Calculate, as a percentage, the cost of car fuel that is a government tax. (2)

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

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

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

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*S48185A0426* Pearson LCCI Level 2 Certificate in Business Statistics

Sample Assessment Materials ? Issue 2 ? September 2015 ? Pearson Education Limited 2015

The magazine editor also carried out research for a major motor insurance company. He found out information relating to the number of customers who were two weeks late in paying their accounts. 75% of customers owned their own cars, of these, 20% were late in paying their accounts. The remaining customers were companies, of these, 30% were late in paying their accounts. (e) Calculate the probability that an account selected at random will be:

(i) held by a company and paid on time (2)

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

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

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

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(ii) paid late. (3)

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*S48185A0526* Pearson LCCI Level 2 Certificate in Business Statistics

Sample Assessment Materials ? Issue 2 ? September 2015 ? Pearson Education Limited 2015

55

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Two accounts are chosen at random. (f ) Calculate the probability that both of these accounts are paid on time.

(3)

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

(Total for Question 1 = 20 marks)

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*S48185A0626* Pearson LCCI Level 2 Certificate in Business Statistics

Sample Assessment Materials ? Issue 2 ? September 2015 ? Pearson Education Limited 2015

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