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. Continuity Correction Σ (new) Ex 23.02 (old) Ex 17.02 . The normal distribution models a CONTINUOUS variable The normal distribution can be used to approximate DISCRETE variables eg. When data is rounded eg to the nearest cm eg. When the Normal distribution is used to model the Binomial or Poisson distributions 0.2 0.2 0.15 0.15 0.1 0.1 0.05 0.05 0 0 0 0 2 4 6 8 10 12 Distribution of discrete data P(x > 6) 14 2 4 6 8 10 12 14 16 16 Distribution of continuous data = P(x>6.5) continuity correction P(x 12) = P(x<12.5) continuity correction P(x 8) = P(x>7.5) continuity correction maths.nayland.school.nz .Ex 17.2 p 362. 2) Weight of pumpkin (to nearest kg) Mean = 22 kg, Standard deviation = 3kg P(x > 20kg) 3) Mean temperature is 6°C Standard deviation = 4°C Temp measured to nearest degree. P(At least 0°C) 6) Mean Time for snooker is 25min, Standard deviation = 4 min Time measured to nearest minute. a) P(Less than 28min) b) P(30min) maths.nayland.school.nz