Measures of Center and Spread

What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}

• 293.67
• 15.87
• 17.14
• 41.98

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

If the data set is approximately normal, what percent of people are within 1 standard deviation of the mean?

• 99.7

• 34

• 68

• 95

Tags

CCSS.HSS.ID.A.4

At a local high school, GPA's are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5?

• 68%
• 99.7%
• 95%
• 84%

Tags

CCSS.HSF-LE.A.1B

Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

Tags

CCSS.HSS.ID.A.4

Which interval shows 68% of the data given a mean of 15 and a standard deviation of 3? 

• 9 to 21
• 12 to 18
• 6 to 24
• 13 to 16

Tags

CCSS.HSS.ID.A.4

How can we tell who "did better" between someone who got a 31 on the ACT and someone who got 1400 on the SAT?

• Random guess?
• 1400 is higher so it's better
• Find the Z-scores!
• Flip a coin?

Tags

CCSS.HSS.ID.A.4

Adam's Z-score on a test is +2.5.  What does this mean?

• He'd better start studying.
• He did better than EVERYONE.
• He scored 2.5 standard deviations above the average.
• He did terrible.

Tags

CCSS.HSS.ID.A.4

If Gonzalo's score is 87, the class average is 82, and the SD is 4, how many standard deviations is he above the mean?

• -1.25

• +1.25

• +1.20

• +1.02

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  

• 2
• 1
• -2
• -1

Tags

CCSS.HSS.ID.A.4

The mean age of sales people in ABC Dept. Store is 30 years with a standard deviation of 6 years.  Between which two age limits must at least 75% of the data lie?

• 24 - 36 years
• 18 - 42 years
• 12 - 48 years
• 6 - 54 years

Tags

CCSS.HSS.ID.A.4