CAIE S1 2017 March — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2017
SessionMarch
TopicMeasures of Location and Spread
TypeFind median and quartiles from stem-and-leaf diagram

4 The weights in kilograms of packets of cereal were noted correct to 4 significant figures. The following stem-and-leaf diagram shows the data.
7473\(( 1 )\)
748125779\(( 6 )\)
749022235556789\(( 12 )\)
750112223445677889\(( 15 )\)
7510023344455779\(( 13 )\)
75200011223444\(( 11 )\)
7532\(( 1 )\)
Key: 748 | 5 represents 0.7485 kg .
  1. On the grid, draw a box-and-whisker plot to represent the data.
    \includegraphics[max width=\textwidth, alt={}, center]{556a1cc2-47ef-4ef7-a8f6-42850c303531-05_814_1604_1336_299}
  2. Name a distribution that might be a suitable model for the weights of this type of cereal packet. Justify your answer.