NZ Level 7 (NZC) Level 2 (NCEA)
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68-95-99.7 Rule (empirical rule)

Interactive practice questions

Complete the following statements for a normal distribution using the empirical rule.

a

$\editable{}$$%$% of the scores lie within $1$1 standard deviation of the mean.

b

$\editable{}$$%$% of the scores lie within $2$2 standard deviations of the mean.

c

$\editable{}$$%$% of the scores lie within $3$3 standard deviations of the mean.

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In a normal distribution, what percentage of scores lie between the mean and $1$1 standard deviation above the mean? Use the empirical rule to find your answer.

In a normal distribution, what percentage of scores lie between the mean and $2$2 standard deviations below the mean? Use the empirical rule to find your answer.

In a normal distribution, what percentage of scores lie between the mean and $3$3 standard deviations below the mean? Use the empirical rule to find your answer.

Outcomes

S7-4

S7-4 Investigate situations that involve elements of chance: A comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions B calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.

91267

Apply probability methods in solving problems

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