STATS QUIZ 2

The weights of the male and female students in a class are summarized in the boxplots below. Which of the following statement is not true for the above boxplots?

• About 50% of the male students weigh between 150 and 180 pounds.

• About 25% of female students weigh more than about 130 pounds.

• The median weight of male students is about 162 pounds.

• The male students’ weights have less variability than the female students’ weights.

• All of the above are true

Tags

CCSS.7.SP.B.4

What can you say about the above data distribution from the box plot?

• It is symmetrically distributed.

• It is skewed towards the left.

• It is skewed towards the right.

• It is a bi-modal distribution.

• It is uniform.

What measures of center and spread are the most appropriate for the given data distribution?

• Center: Sample Mean; Spread: Sample Range

• Center: Sample Median; Spread: Sample Range

• Center: Sample Mean; Spread: Sample Standard Deviation

• Center: Sample Median; Spread: Sample Standard Deviation

• Center: Sample Median; Spread: Sample IQR

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What will be the range of the above data distribution?

• 10

• 20

• 30

• 40

• 50

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Choose the correct statement from the following:

• The sample mean of the above data distribution is greater than 35 since the distribution is skewed towards the right.

• The sample mean of the above data distribution is smaller than 35 since the distribution is skewed towards the right.

• The sample mean of the above data distribution is greater than 35 since the distribution is skewed towards the left.

• The sample mean of the above data distribution is smaller than 35 since the distribution is skewed towards the left.

• The sample mean of the above data distribution is equal to 35 since the distribution is symmetric.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Use the following information to answer the next 2 questions. The two box plots below display the distributions of the marathon times for men and women. Which of the following relations best applies to the female runners?

• The mean is equal to the median

• The mean is larger than the median

• The mean is smaller than the median

• The mean, the median, and the mode are the same

• Not enough information is provided to answer this question

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

What measures of center and spread are best for the male runners?

• Center: Mean Spread: Range

• Center: Median Spread: IQR

• Center: Median Spread: Range

• Center: Mean Spread: Standard Deviation

• Center: Median Spread: Standard Deviation

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Assume that the 25-th percentile of a set of data is 13.5 and the 75-th percentile is 18.2. Which of the following data values should be considered an outlier?

• 24.78

• 6.54

• 6.42

• 20.17

• 8.96

The five-number summary of credit hours for 24 students in a statistics class is: Min 6.0 Q1 15.0 Median 16.5 Q3 18.0 Max 22.0 Which of the following statements is true?

• There are no outliers in the data.

• There is at least one low outlier in the data.

• There is at least one high outlier in the data.

• There are both low and high outliers in the data.

• None of above

What would be the Inter Quartile Range (IQR) of the following data: 10, 12, 15, 21, 26, 29, 31?

• 6

• 12

• 14

• 17

• 21

Tags

CCSS.6.SP.B.5C