Understanding Density Curves and Normal Distribution

If a density curve is symmetrical, then...

• There is no way to know the relationship between the mean and the median

• The mean should be less than the median

• The mean should be greater than the median

• The mean is generally equal to the median

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Two measures of center are marked on the density curve shown. Which of the following is correct?

• The median is at the yellow line and the mean is at the red line.

• The median is at the red line and the mean is at the yellow line.

• The mode is at the red line and the median is at the yellow line.

• The mode is at the yellow line and the median is at the red line.

• .

  The mode is at the red line and the mean is at the yellow line.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Regardless of the shape of a density curve, the total area under the curve is always...

• 0

• 1

• 100

• 0.5

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

The density curve shown takes the value 0.5

on the interval 0 ≤ x ≤ 2. What percent of the observations are less than 1?

• 25%

• 35%

• 50%

• 68%

• 70%

The density curve shown takes the value 0.5

on the interval 0 ≤ x ≤ 2. Find the 70th percentile of the data.

• 1.4

• 1.6

• 1.2

• 0.8

• 7.0

Tags

CCSS.6.SP.B.5C

The density curve shown takes the value 0.5

on the interval 0 ≤ x ≤ 2. What percent of the observations lie

between 0.5 and 1.2?

• 25%

• 35%

• 50%

• 68%

• 70%

A density curve is a curve that is always ______ the horizontal axis.

• below

• on or above

• on or below

• above

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

In a skewed density curve, the mean is pulled in the direction of the ______.

• Short tail

• Long tail

• Center

• Median

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

For a symmetric density curve, the mean and median are located at the ______.

• Left tail

• Right tail

• Center

• Top

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Match the following density curves to their shapes.

• symmetric

• 
• skewed left

• 
• uniform

• 
• skewed right

• 

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1