Edexcel S1 2017 January — Question 1

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2017
SessionJanuary
TopicData representation
TypeDirect frequency calculation from histogram

  1. Ralph records the weights, in grams, of 100 tomatoes. This information is displayed in the histogram below.
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Given that 5 of the tomatoes have a weight between 2 and 3 grams,
  1. find the number of tomatoes with a weight between 0 and 2 grams. One of the tomatoes is selected at random.
  2. Find the probability that it weighs more than 3 grams.
  3. Estimate the proportion of the tomatoes with a weight greater than 6.25 grams.
  4. Using your answer to part (c), explain whether or not the median is greater than 6.25 grams. Given that the mean weight of these tomatoes is 6.25 grams and using your answer to part (d),
  5. describe the skewness of the distribution of the weights of these tomatoes. Give a reason for your answer. Two of these 100 tomatoes are selected at random.
  6. Estimate the probability that both tomatoes weigh within 0.75 grams of the mean.