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MSV 29: Cricketing MMM

www.making-statistics-vital.co.uk. MSV 29: Cricketing MMM. With apologies to all those who are not cricket fans. yet!. From the comfort of his retirement from the village cricket team, Peter is looking at some statistics . . First, he looks at the number of bouncers

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MSV 29: Cricketing MMM

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  1. www.making-statistics-vital.co.uk MSV 29: Cricketing MMM

  2. With apologies to all those who are not cricket fans... yet!

  3. From the comfort of his retirement from the village cricket team, Peter is looking at some statistics. First, he looks at the number of bouncers he bowled in his last thirty innings.

  4. Bouncer count 0, 1, 2, 1, 0, 0, 3, 2, 2, 4, 1, 7, 1, 1, 0, 3, 2, 1, 1, 0, 4, 1, 1, 2, 3, 3, 0, 1, 1, 1 Can you find the mean, median and mode here?

  5. Now Peter takes a look at the number of ducks, x, scored on both sides in his last 149 games. (A duck is a score of 0(!)) He draws up a frequency table. Can you find the mean, median and mode here?

  6. Now Peter turns to the length of time, x, in minutes for which he batted in his last 117 appearances. Can you find the mean, median and mode here? Note: the symbol – here means ‘up to but not including.’

  7. To make a comparison, Peter looks at the length of time x in minutes for which his friend Chris batted in his last 117 games. The values of x here, however, are given ‘to the nearest minute’. Can you find the mean, median and mode here?

  8. Finally Peter counts up and finds that he has played in the league debuts of 109 players. He draws up a table of their ages on debut. Can you find the mean, median and mode here?

  9. Answers Bouncer Question: mean = 1.63, median = 1, mode = 1. Discrete data given as Raw Data. Ducks Question: mean = 2.85, median = 3, mode = 3. Discrete data given as Frequency Table.

  10. Peter Minutes Question: mean = 25.9, median = 26.0, modal class = 20-30. Continuous data given as Grouped Frequency Table.

  11. Chris Minutes Question: mean = 25.2, median = 24.9, modal class = 20-29. ‘Time in minutes’ is continuous data. ‘Time to nearest minute’ is discrete data. Data given as Grouped Frequency Table. Treat as continuous data, but care is needed with true class intervals.

  12. Age on Debut Question: mean = 25.9, median = 26.0, modal class = 20-30. ‘Age in years’ is continuous data. ‘Age in completed years’ is discrete data. Data given as Grouped Frequency Table. Treat as continuous data, but care is needed with true class intervals.

  13. With thanks to pixabay.com www.making-statistics-vital.co.uk is written by Jonny Griffiths hello@jonny-griffiths.net

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