High School Stats final review

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5

Find the area under the normal distribution curve to the left of 
Z=0.27.

• 0.3936
• 0.3897
• 0.6064
• 0.4892

Find the area under the normal distribution curve between a z=-1.26 and z=.57. 

• 0.0047
• 0.9204
• 0.6119
• 0.4981

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the interquartile range of the data?

• 8
• 9
• 13
• 21

What is the IQR of the Cruisers?

• 4
• 6

What percent of students have a height between 58 inches and 60 inches?

• 25%

• 50%

• 75%

• 100%

33, 25, 42, 25, 31, 37, 46, 29, 38

What is the Q3 of the data?

• 37

• 38

• 40

• 46

Use the 1.5 IQR rule to determine if there are any outliers for the following numbers:
84, 88, 72, 74, 98, 16, 94 

• Yes, 16 is an outlier.
• Yes, 33 is an outlier.
• Yes, 98 is an outlier.
• There are no numbers less than 39 or greater than 124, therefore there are no outliers.

Using the information below, identify which of the following is NOT an outlier:
Q1 = 53
Q2 = 55
Q3=61

• 73
• 40
• 80
• 73.5

Standard deviation tells us how spread out a symmetric distribution is. 
Since a Z-score tells us how many standard deviations away from average something is, what does a high Z-score mean?

• It's way higher than average
• tl:dr
• you're in trouble?
• you need a doctor