Standard Deviation & Dispersion

Standard Deviation

Read each slide carefully before continuing through the lesson

Definition

Which set of data has data points that are closer to the mean?

Multiple Choice

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

Multiple Choice

Look at each data set's standard deviation.

Set 1: 15.9

Set 2: 14.64

Set 3: 17.88

Which set of data has values that are closer in relation to the mean value of the data?

• Set 1

• Set 2

• Set 3

• Not enough information is provided

Characteristics of the Normal Curve

• MEAN = MEDIAN = Mode: The mean and the median are the same

  • located in the center of the curve. 50% of the data is above or below

Comparing Measures of Center

●

In a symmetric distribution, the mean and the median are
approximately the same.

●

In a right skewed distribution the mean tends to be greater than the
median.

●

In a left skewed distribution the mean tends to be less than the
median.

Positively Skewed

Also known as Skewed to the RIGHT.

This is when the data has a "Tail" on the right side of the graph.

Negatively Skewed

Also known as Skewed to the LEFT.

This is when the graph has a "Tail" to the left.

Multiple Choice

1. Which of the following illustrations represents normal distribution?

Drag and Drop

This distribution is ​

Placeholder

so we should use the ​

Placeholder

as a measure of center.

Drag these tiles and drop them in the correct blank above

right skewed

median

fairly symmetric

left skewed

mean

standard deviation

range

mode

Multiple Choice

What shape is a normal distribution curve?

• Half curve

• Round curve

• Bell curve

• Square curve

Drag and Drop

This distribution is ​

Placeholder

so we should use the ​

Placeholder

as a measure of center and the ​

Placeholder

as a measure of variability.

Drag these tiles and drop them in the correct blank above

fairly symmetric

mean

standard deviation

left skewed

range

mode

median

IQR

right skewed

Multiple Choice

Which is NOT true about the normal distribution curve?

• It is bell-shaped.

• The mean, median, and mode are approximately equal

• The smaller the standard deviation, the less spread in the curve.

• It is asymmetrical.

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

How is the graph distributed?

• Normally

• Skewed to the Left

• Skewed to the Right

• Uniform

Multiple Choice

According to the empirical rule, what percentage of data falls within 1 standard deviation? 

• 25%

• 68%

• 95%

• 99.7%

Multiple Choice

According to the empirical rule, how much of the data falls within 3 standard deviations? 

• 25%

• 68%

• 95%

• 99.7%