Mathematics 0580 · IGCSE · Averages and measures of spread

Averages and measures of spread — practice question

Kai and Ann conduct a survey of the distances, measured in kilometres, travelled by 200 cars. Kai then completes this frequency table for the collected data.
(a(i))[4]

Calculate an estimate of the mean.

(a(ii))[2]

Without calculating an estimated mean for this data, find the difference between Ann’s and Kai’s estimates of the mean. Show all your working.

(a(iii))[3]

Calculate the height of the bar for each of the following intervals.

(b)[1]

Find the probability that the car has travelled more than 300 km.

(c(i))[2]

Find the probability that both cars have travelled 150 km or less.

(c(ii))[3]

Find the probability that one car has travelled more than 200 km while the other has travelled 100 km or less.

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