## IGCSE Mathematics 0580/04/SP/20 Q2

2 (a) 200 students estimate the volume, V m3, of a classroom. The cumulative frequency diagram shows their results.

Use the graph to find an estimate of

(i) the median,

(ii) the interquartile range,

(iii) the 60th percentile,

(iv) the number of students who estimate that the volume is greater than 300 m3.

(b) The 200 students also estimate the total area, A m2, of the windows in the classroom. The table shows their results.

(i) Calculate an estimate of the mean. You must show all your working.

(ii) Complete the histogram to show the information in the table.

(iii) Two students are chosen at random from those students that estimated the area of the windows to be more than 100 m2.

Find the probability that one of the two students estimates the area to be greater than 150 m2 and the other student estimates the area to be 150 m2 or less.

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