5. A group of students are thinking about setting up a shop selling chocolate bars at lunchtime. They conducted a small survey among 30 people, asking the question: How many chocolate bars do you eat in a typical week?


The raw data they found is shown below:


Male Female Male Female Male Male Male Female Male Male 1 bar 4 bars 5 bars 1 bar 2 bars 25 bars 13 bars 0 bars 2 bars 9 bars


Male Female Female Male Male Male Female Male Male Male 6 bars 16 bars 14 bars 10 bars 19 bars 11 bars 1 bar 0 bars 1 bar 3 bars


Female Male Female Male Female Male Male Male Male Female 10 bars 25 bars 16 bars 13 bars 30 bars 8 bars 2 bars 0 bars 28 bars 0 bars


(i) Choose the most appropriate tables, charts or graphs to represent the data clearly.


(ii) Christine says: ‘We found that the total number of bars eaten by all the males is 183, and the total number eaten by all the females is 92. In general, this means that males eat more chocolate bars than females.’ Do you agree with Christine? Justify your answer,


(iii) Write one conclusion (comparing males and females) that is supported by the data.


6. About 4⋅3% of Irish people are vegetarians. Two randomly selected groups of people were asked whether they follow such a diet. The first sample consisted of 20 people and the second sample consisted of 200 people. Which sample is more likely to be representative of the national percentage? Justify your answer.


7. Jack wants to get to work as quickly and reliably as possible in the mornings. He tries three different transport methods: ●


●


cycle all the way drive all the way


● walk to the railway station, take the train and walk from the station.


He tries each method several times and records how many minutes the entire journey takes: bicycle


car walk-train-walk


24 25 29 25 26 26 23 29 25 28 19 21 32 57 31 27 21 24 21 24 31 26 24 30


(i) Use the data to make a case for why Jack should travel to work by bicycle.


(ii) Use the data to make a case for why Jack should travel to work by car. (Hint: think about the effect of one extreme result.)


8. Ruairí works in the zoo and is studying the difference in masses between males and females of a certain species. He plots the two graphs shown to represent his results.


Using the graphs as evidence, write three separate statements comparing the differences and similarities between the masses of the males and the females.


Males 10


9 8


0 1 2 3 4 5 6 7


10


9 8


20 30 40 50 60 70 80 90 Mass in grams


0 1 2 3 4 5 6 7


Females


20 30 40 50 60 70 80 90 Mass in grams


136


Linking Thinking 2


Number of animals


Number of animals


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