Mathematics 4024 · O Level · Averages and measures of spread

Averages and measures of spread — practice question

(a(i))[1]

This question comes from a bus timetable. Work out the time taken for the bus to travel from the town square to the business park.

(a(ii))[1]

Tom reaches the railway station at $07{:}12$. He boards the next bus to the airport. Find the time at which he gets to the airport.

(b(i))[1]

Use the diagram to estimate how many workers had a journey time of less than $30$ minutes.

(b(ii))[2]

Use the diagram to estimate the interquartile range of the data.

(b(iii))[3]

Use the diagram to estimate the percentage of workers whose journey lasted more than $1$ hour.

(c)[3]

Chen’s commute to work is $37\text{ km}$, correct to the nearest kilometre. On Monday, his journey takes $43$ minutes, correct to the nearest minute. Calculate the lower bound of the average speed for this journey. Give your answer in kilometres per hour.

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