Last updated on Sep 20, 2026

The Normal Distribution and the 68–95–99.7% Rule (VCE SSCE General Mathematics): Quizzes

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The Normal Distribution and the 68–95–99.7% Rule

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What percentage of observations lie within one standard deviation of the mean in a normal distribution?

$68\%$

What percentage of data lies within two standard deviations of the mean in a normal distribution?

$95\%$

What percentage of values lie in each tail beyond one standard deviation from the mean?

$16\%$

What percentage of data lies in each tail beyond two standard deviations from the mean?

$2.5\%$

If $\bar{x} = 50$ , $s = 10$ , and $x = 65$ , what is the z-score?

$z = 1.5$

What does a negative z-score indicate?

The score lies below the mean

What percentage lies between one and two standard deviations on each side of the mean?

$13.5\%$

If $\bar{x} = 100$ , $s = 15$ , and $z = -2$ , what is the actual score $x$ ?

$x = 70$

Heights have $\bar{x} = 160$ cm, $s = 8$ cm. What % are between 152 cm and 176 cm?

$95\%$

A test has $\bar{x} = 60$ , $s = 10$ . Student A scores 75, Student B scores 80 ( $\bar{x} = 70$ , $s = 5$ ). Who did better?

Student B

Explore VCE SSCE General Mathematics Revision Notes by Topics

Classifying and Displaying Categorical Data

Interpreting and Describing Frequency Tables and Bar Charts

Displaying and Describing Numerical Data

Characteristics of Distributions, Dot Plots, and Stem Plots

Measures of Centre

Measures of Spread

Percentages of Data Lying Within Multiple Standard Deviations of the Mean

Boxplots

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

Show more

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

The Normal Distribution and the 68–95–99.7% Rule

Explore VCE SSCE General Mathematics Model Answers by Topics

Classifying and Displaying Categorical Data

Interpreting and Describing Frequency Tables and Bar Charts

Displaying and Describing Numerical Data

Characteristics of Distributions, Dot Plots, and Stem Plots

Measures of Centre

Measures of Spread

Percentages of Data Lying Within Multiple Standard Deviations of the Mean

Boxplots

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

Show more

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

The Normal Distribution and the 68–95–99.7% Rule

Explore VCE SSCE General Mathematics Flashcards by Topics

Classifying and Displaying Categorical Data

Interpreting and Describing Frequency Tables and Bar Charts

Displaying and Describing Numerical Data

Characteristics of Distributions, Dot Plots, and Stem Plots

Measures of Centre

Measures of Spread

Percentages of Data Lying Within Multiple Standard Deviations of the Mean

Boxplots

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

Show more

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

The Normal Distribution and the 68–95–99.7% Rule

Explore VCE SSCE General Mathematics Exam Questions by Topics

Classifying and Displaying Categorical Data

Interpreting and Describing Frequency Tables and Bar Charts

Displaying and Describing Numerical Data

Characteristics of Distributions, Dot Plots, and Stem Plots

Measures of Centre

Measures of Spread

Percentages of Data Lying Within Multiple Standard Deviations of the Mean

Boxplots

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

Show more

Comparing the Distribution of a Numerical Variable Across Groups

Types of Data

Displaying and Describing the Distributions of Categorical Variables

Displaying and Describing Numerical Data - Further Exploration

Dot Plots and Stem Plots

Using a Logarithmic (Base 10) Scale to Display Data

Measures of Centre and Spread

The Five-Number Summary and the Boxplot

The Normal Distribution and the 68–95–99.7% Rule

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