12 90 students in a statics course were given an experiment

90 students in a statics course were given an experiment where each reported, to the nearest minute, the time, x, it took them to commute to school on a specific day. The teachers then reported back that the total travelling time for the course participants was summation x = 4460 minutes. Find the mean number of minutes the students spent travelling to school that day. Four students who were absent when the data was first collected reported that they spend 35, 39, 28 and 32 minutes, respectively. Calculate the new mean including these four students. Two those students at a large university take the final statistics examination, which is marked on a 100-scale, and the distribution of marl received is given in the table below. Complete the table below so that it represents the cumulative frequency for each interval. Draw a cumulative frequency graph of the distribution, using a scale of 1 cm for 100 students on the vertical axis and 1 cm for 10 marks on the horizontal axis. Use your graph from b) to answer parts (i)-(iii) below. Find an estimate for the median score. Candidates who scored less than 35 were required to retake the examination How many candidates had to retake the exam? The highest-scoring 15% of candidates were awarded a distinction. Find the mark above for which a distinction was awarded.

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