Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level72. Mean, Median and Mode.1. 30 pupils in a class were asked to keep a record of the number of pints of milk their familybought during one week. The results are given below.18 21 15 21 22 14 14 28 21 1414 17 21 22 14 15 21 21 16 2415 13 14 21 25 21 14 18 12 22a) What was the modal number of pints bought per week?b) What was the mean amount of milk bought, correct to the nearest 0.1 pint?c) What was the median amount of milk bought?2. The length of the words in the first two sentences of No. of letters FrequencyPride and Prejudice by Jane Austin are given in the table 1 62 21on the right.3 9a) Calculate the mean length of the words (correct to 1 4 105 9decimal place)6 2b) Calculate the median number of letters per word.7 28 5c) What is the modal number of letters in a word?9 1d) Do you think that these values are a fair indication of 10 211 2the words in the whole book? Explain.12 113 13. The table on the right shows the weightsof 100 packages brought into a postoffice during one day.Weight w60g < w ≤ 100gFrequency21Mid Valuea) Complete the table for the mid values. 100g < w ≤ 300g 44b) Calculate an estimate for the meanweight of a package brought in that300g < w ≤ 600g 17day.c) In which class interval does themedian value lie?d) What is the modal class interval?600g < w ≤ 1kg1kg < w ≤ 2kg2kg < w ≤ 3kg9544. 84 packs of orange juice were sampledfrom a days production at a drinksfactory. The contents of each pack weremeasured. The amounts are shown inthe diagram on the right.From the graph:a) Write down the modal class.b) In which class interval does the medianvalue lie?c) Calculate an estimate for the meancontents of a pack.Frequency4030201001.00 1.01 1.02 1.03 1.04 1.05 1.06Contents in litres