Q(8-2) Normal Distribution & z-scores (Spring 2023)

What shape is a normal distribution curve?

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

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

• 25%
• 68%
• 95%
• 99.7%

Tags

CCSS.HSS.ID.A.4

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

• 25%
• 68%
• 95%
• 99.7%

Tags

CCSS.HSS.ID.A.4

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

• 26-32
• 3-29
• 26-29
• 39-32

Tags

CCSS.HSS.ID.A.4

A data set has a mean of 290 and a standard deviation of 20. Calculate the z-score for 265.

Tags

CCSS.HSS.ID.A.4

• 298

• 296

• 220

• 380

Tags

CCSS.HSS.ID.A.4

Use the image of the normal graph provided. What is the value of the mean?

• 6

• 34

• 52

• 70

Tags

CCSS.6.SP.A.3

μ = 70 , σ = 8 , X = 50 . Find z score

• 2.5
• -2.5
• 5.2
• -5.2

Tags

CCSS.HSS.ID.A.4

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

• 100
• 25
• .5
• 1

Tags

CCSS.7.SP.C.7A

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 54 and 96?

• 34%

• 99.7%

• 95%

• 2.5%

Tags

CCSS.HSS.ID.A.4