GCSE Statistics Normal Distribution

What shape is a normal distribution curve?

• Half curve
• Round curve
• Bell curve
• Square curve

Tags

CCSS.HSS.ID.A.3

Which is NOT a characteristic of normal distribution?

• Symmetrical
• Bell-shaped
• Random
• Continuous

Tags

CCSS.HSS.ID.A.3

Which one of the following is a FALSE statement about the standard normal curve?

• Its standard deviation varies.
• It is bell-shaped
• It is symmetric around 0.
• Its mean is constant at 0.

Tags

CCSS.HSS.ID.A.4

The normal curve is symmetrical about the mean.

• True
• False

What is the the total area under the standard normal distribution curve?

• 100

• 25

• .5

• 1

Tags

CCSS.HSS.ID.A.4

If 10 is added to every value in a set of data, what will happen to the value of the mean?

• it will increase by 10
• it will decrease by 10
• it will stay the same
• it will both increase and decrease

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

If 10 is added to every value in a set of data, what will happen to the value of the standard deviation?

• it will increase
• it will decrease
• it will stay the same
• it will both increase and decrease

Between what two standard deviations of a normal distribution contain 68% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

Tags

CCSS.HSS.ID.A.4

Between what two standard deviations of a normal distribution contain 95% of the data?

• one below and one above

• two below and two above

• two below and zero

• zero and two above

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds

Tags

CCSS.HSS.ID.A.4