Answer these questions

4. John records the amount of pages in his favourite magazines over the course of a year. He records this in the table below. Number of pages 1-15 1630 3145 4690 nnu- (a) What type of data has John collected? (b) Given that the mean number of pages is 41, show that the value of p is 16 (c) Use interpolation to estimate the median number of pages. [2] 5. Thuy has been conducting research on the length of school pupils nightmares, rounded to the nearest minute. Below is his table of results. Length (mins) Frequency 04 15 59 8 1014 19 1519 14 2030 3 (a) Find an estimate of the mean waiting time. (b) Calculate the 45th percentile (c) What percentage of the sample have a nightmare of less than 8 minutes? 6. Tam records the age of different workers in a factory. The results are shown below. Age (years) 16-20 21-25 26-35 36+ Frequency 12 28 21 15 (a) State the modal age range [1] (b) Find an estimate, using interpolation, for the Lower Quartile and the Upper Quartile. [5] (c) Explain the assumption you have made when interpolating. [1] (d) Explain why you wouldn't be able to find the age range of the oldest 10% of workers [1]