Total Score Frequency


(i) (ii)


1 2 3 4 5 6 1 664 1 656 1 694 1 656 1 674 1 656 10 000 Relative frequency 0.1664 0.1656 A 0.1656 0.1674 B C


A = 0.1694 B = 0.1656


C = 1


(iii) (iv)


Practice questions 5.2


1. There are a number of coins in a jar. Out of 200 random selections, where a coin was chosen and replaced, 20 coins were €2 coins. What is the relative frequency of €2 coins in the jar?


2. David has a box of blocks. Based on 500 random selections, where David chose a single block, noted the colour and replaced it back in the box, he found 120 of these blocks were blue.


(i) What is the relative frequency of blue blocks? (ii) What is the relative frequency of the blocks being any colour except blue?


3. There is a general belief that if you drop a piece of toast on the fl oor, it always lands buttered side down. Jasmin decides to test this belief. She drops 50 slices of buttered toast and records that 15 land buttered side down.


(i) What is the relative frequency of a piece of toast not landing buttered side down? (ii) What conclusion could Jasmin make about the general belief stated above?


4. A quality control audit was held to check whether the company Cool TVs was producing faulty TV sets. 200 TVs were selected randomly and tested. After testing it was observed that 25 TVs were faulty.


(i) Calculate the relative frequency that 25 TVs were faulty.


(ii) The following week 1 000 TVs were tested, and 80 were found to be faulty. Calculate the relative frequency of faulty TVs for that week.


(iii) Which sample above would give the best indication of the relative frequency of a TV being faulty? Explain your answer.


(iv) Using the information from part (ii) of this question, what is the relative frequency that a TV will not have a fault?


Section A Applying our skills 97


5 Probability


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