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CanadaON
Grade 12

68-95-99.7% Rule

Interactive practice questions

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

a

What percentage of the scores lie within $1$1 standard deviation of the mean?

$34%$34%

A

$68%$68%

B

$32%$32%

C

$99.7%$99.7%

D

$95%$95%

E
b

What percentage of the scores lie within $2$2 standard deviations of the mean?

$99.7%$99.7%

A

$95%$95%

B

$5%$5%

C

$47.5%$47.5%

D

$68%$68%

E
c

What percentage of the scores lie within $3$3 standard deviations of the mean?

$95%$95%

A

$99.7%$99.7%

B

$49.85%$49.85%

C

$68%$68%

D

$0.03%$0.03%

E
Easy
1min

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.

Easy
< 1min

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.

Easy
< 1min

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.

Easy
< 1min
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Outcomes

12D.B.2.6

Recognize that the normal distribution is commonly used to model the frequency and probability distributions of continuous random variables, describe some properties of the normal distribution, and recognize and describe situations that can be modelled using the normal distribution

12D.D.1.4

Interpret, for a normally distributed population, the meaning of a statistic qualified by a statement describing the margin of error and the confidence level, and make connections, through investigation using technology, between the sample size, the margin of error, and the confidence level

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