Exam-Style Problems

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Nov 2023 p52 q4
2363

The heights, in cm, of the 11 players in each of two teams, the Aces and the Jets, are shown in the following table.

Aces 180 174 169 182 181 166 173 182 168 171 164
Jets 175 174 188 168 166 174 181 181 170 188 190
  1. Draw a back-to-back stem-and-leaf diagram to represent this information with the Aces on the left-hand side of the diagram.
  2. Find the median and the interquartile range of the heights of the players in the Aces.
  3. Give one comment comparing the spread of the heights of the Aces with the spread of the heights of the Jets.
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Nov 2018 p63 q7
2364

The heights, in cm, of the 11 members of the Anvils athletics team and the 11 members of the Brecons swimming team are shown below.

Anvils 173 158 180 196 175 165 170 169 181 184 172
Brecons 166 170 171 172 178 181 182 183 183 192
  1. Draw a back-to-back stem-and-leaf diagram to represent this information, with Anvils on the left-hand side of the diagram and Brecons on the right-hand side.
  2. Find the median and the interquartile range for the heights of the Anvils.
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Nov 2017 p63 q5
2365

The number of Olympic medals won in the 2012 Olympic Games by the top 27 countries is shown below.

104, 88, 82, 65, 44, 38, 35, 34, 28, 28, 18, 18, 17, 17, 14, 13, 13, 12, 12, 10, 10, 10, 9, 6, 5, 2, 2

Draw a stem-and-leaf diagram to illustrate the data.

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Nov 2016 p61 q7
2366

The masses, in grams, of components made in factory A and components made in factory B are shown below.

Factory A

0.049 0.050 0.053 0.054 0.057 0.058 0.058
0.059 0.061 0.061 0.061 0.063 0.065

Factory B

0.031 0.056 0.049 0.044 0.038 0.048 0.051
0.064 0.035 0.042 0.047 0.054 0.058

(i) Draw a back-to-back stem-and-leaf diagram to represent the masses of components made in the two factories.

(ii) Find the median and the interquartile range for the masses of components made in factory B.

(iii) Make two comparisons between the masses of components made in factory A and the masses of those made in factory B.

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June 2016 p62 q5
2367

The following are the maximum daily wind speeds in kilometres per hour for the first two weeks in April for two towns, Bronlea and Rogate.

Bronlea 21 45 6 33 27 3 32 14 28 24 13 17 25 22
Rogate 7 5 4 15 23 7 11 13 26 18 23 16 10 34
  1. Draw a back-to-back stem-and-leaf diagram to represent this information.
  2. Write down the median of the maximum wind speeds for Bronlea and find the interquartile range for Rogate.
  3. Use your diagram to make one comparison between the maximum wind speeds in the two towns.
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