Statistics Quiz 1.6 - 1.9

On a recent test, a statistics professor finds that the mean score is smaller than the median. Which of the following could be the distribution of test scores?

• 
• 
• 
• None of these

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

On a recent test, a statistics professor finds that the mean score is larger than the median. Which of the following could be the distribution of test scores?

• 
• 
• 
• None of these is correct.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

On a recent test, a statistics professor finds that the mean and median scores are nearly equal. Which of the following could be the distribution of test scores?

• 
• 
• 
• None of these is correct

Tags

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

A random sample of 6 dogs were selected. The owners helped the dogs demonstrate the number of tricks they were able to perform. The results were 12, 9, 7, 3, 8, and 2 tricks. What is the standard deviation of the number of tricks that the dogs were able to complete? Interpret this value.

• The standard deviation is about 3.76 tricks. The number of tricks completed typically varies by about 3.76 tricks from the median.

• The standard deviation is about 14.14 tricks. The number of tricks completed typically varies by about 14.14 tricks from the median.

• The standard deviation is about 14.14 tricks. The number of tricks completed typically varies by about 14.14 tricks from the mean.

• The standard deviation is about 3.76 tricks. The number of tricks completed typically varies by about 3.76 tricks from the mean.

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

A group of students each rolled a fair six-sided die over and over again until they rolled a 6. In order to determine who was the "most unlucky" they counted the number of times they had to roll the die until they rolled a six. The unluckiest student had to roll the die 19 times before rolling a six! Here are the data for these student:

7, 8, 9, 5, 1, 1, 1, 1, 19, 0, 3, 1

Identify any outliers in the distributions.

• 19 and 7

• 19

• 7

• There are no outliers in the distribution

Tags

CCSS.HSS.ID.A.3

The cumulative relative frequency graph describes the distribution of scores on a recent test for a large introductory statistics class of 67 students.

Which of the following are correct?

I. The 15th percentile is a test score of about 45.

II. About half of the students scored below a 72.

III. The IQR is about 30.

• I and III

• I and II

• II and III

• I, II, and III

Tags

CCSS.HSS.ID.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Here are the summary statistics that describe the distribution of the number of steps taken by a group of teachers on a randomly selected school day as recorded by a Fitbit.

What is the z-score for a teacher who took 10,250 steps? Interpret this value.

• z= 0.944. This teacher's steps for the day were 0.944 standard deviations above the mean of 11,278 steps.

• z= -0.944. This teacher's steps for the day were 0.944 standard deviations below the mean of 11,278 steps.

• z= -0.944. This teacher's steps for the day were within 0.944 standard deviations above the mean of 11,278 steps.

• None of theses are correct.

Tags

CCSS.HSS.ID.A.4

REVIEW: When a graph is symmetrical, what would you use to describe the center and spread?

• Mean and IQR

• Median and IQR

• Mean and Standard Deviation

• Median and Standard Deviation

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Which of the following can be used to describe the spread of a distribution? Select all that apply.

• range

• interquartile range

• standard deviation

• standard error

• z-scores

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

• 1
• 2
• 3
• 4

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3