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Grade 12

Standard Normal Distribution

Interactive practice questions

The diagram shows the curve of a standard normal curve.

Use this curve to answer the following.

A standard normal curve is shown. The right side of the area under the curve is shaded starting from zero and extends to the right.
a

What is the area above the mean of the normal curve?

b

What is the area below the mean of the normal curve?

Easy
< 1min

The given table gives us the area between $0$0 and a given $z$z-score.

Using the table, find the area under the normal curve between one standard deviation(s) below the mean and two standard deviation(s) above the mean.

Give your answer to four decimal places.

Easy
2min

The given table gives us the area between $0$0 and a given $z$zscore.

Using the table, find the area under the normal curve between $1.60$1.60 and $1.80$1.80 standard deviations above the mean.

Give your answer to four decimal places.

Easy
2min

The given table gives us the area between $0$0 and a given $z$z score.

Using the table, find the area under the normal curve to the left of $z=1.15$z=1.15.

Give your answer to four decimal places.

Easy
2min
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Outcomes

12D.B.2.8

Recognize a z-score as the positive or negative number of standard deviations from the mean to a value of the continuous random variable, and solve probability problems involving normal distributions using a variety of tools and strategies, including problems arising from real-world applications

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