Using the Normal Distribution (HSC SSCE Mathematics Advanced): Quizzes
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Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
According to the empirical rule, what % of values fall within 1 standard deviation of the mean?
According to the empirical rule, what % of values fall within 1 standard deviation of the mean?
68%
What % of values in a normal distribution fall within 3 standard deviations of the mean?
What % of values in a normal distribution fall within 3 standard deviations of the mean?
99.7%
If mean is 102, SD is 2, what is the z-score for a value of 100?
If mean is 102, SD is 2, what is the z-score for a value of 100?
What does a negative z-score indicate about a value?
What does a negative z-score indicate about a value?
Falls below the mean
If 68% of values fall between and , what % falls outside this range?
If 68% of values fall between and , what % falls outside this range?
32%
If 32% falls outside to , what % falls below by symmetry?
If 32% falls outside to , what % falls below by symmetry?
16%
What do standard normal probability tables show?
What do standard normal probability tables show?
Cumulative probabilities below z-scores
If table shows , what is ?
If table shows , what is ?
7%
Bars: mean 102g, SD 2g. What % weigh more than 105g if ?
Bars: mean 102g, SD 2g. What % weigh more than 105g if ?
7%
For , what mean gives if SD is 2g?
For , what mean gives if SD is 2g?
106.2g
