Measures of Center and Spread, Shapes of Distribution

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

What is the shape of the data?

• symmetrical

• skewed left

• skewed right

• bell curve

Describe the shape of the graph.

• Symmetrical

• Skewed

• Uniform

Which of the following best describes the shape of the distribution?

• SKEWED LEFT
• SKEWED RIGHT
• UNIFORM 
• SYMMETRICAL

Given the data set shown below, which measure of center should be used to describe what is typical?

45, 50, 47, 52, 25, 49, 49

• The median because the data is skewed.

• The mean because the data is skewed.

• The mean because the data is normal.

• The median because the data is normal.

Given the data set shown below, which measure of spread should be used to describe what is typical?

45, 50, 47, 52, 25, 49, 49

• The IQR because the data is skewed.

• The standard deviation because the data is skewed.

• The standard deviation because the data is normal.

• The IQR because the data is normal.

On a box and whisker plot, what percent of the data falls within each section?

• 68%

• 50%

• 25%

• It depends on the data

What percent of the data falls in the IQR?

• 25%

• 50%

• 68%

• It depends on the data

For normal data, what percent of the data fall within one standard deviation of the mean?

• 25%

• 68%

• 50%

• It depends on the data

Two students, student A and student B, compare the standard deviations of their 7 homework assignments from this quarter.

Student A's homework grades have a standard deviation of 29.3. Student B's homework grades have a standard deviation of 5.5.

Which of the following statements is true?

• Student A's homework grades are more spread out.

• Student B's homework grades are more spread out.

• Student A's grades are more consistent.

• Student B's grades are more consistent.

• The homework grades for Student B are typically 5.5 points away from the mean.