The lengths of extra-time, t minutes, played in the first and second halves of 100 football matches

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The lengths of extra-time, t minutes, played in the first and second halves of 100 football matches are summarised in the following table.

a. Explain how you know that the median extra-time played in the second halves is greater than in the first halves.

b. The first-half median is exactly 100 seconds.

i. Find the upper boundary value of k, given that the second-half median is k times longer than the firsthalf median.

ii. Explain why the mean must be greater than the median for the extra-time played in the first halves.

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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

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Question Posted: Sep 10, 2021 03:17 AM

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The lengths of extra-time, t minutes, played in the first and second halves of 100 football matches

Question:

Extra-time (f min) First halves (ef) 24 62 80 92 Second halves 97 100 6. 17 35 adge 82 93 100

Step by Step Answer:

a To determine whether the median extratime played in the second halves is greater than in the first halves we need to compare the medians of the two ...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

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