Descriptive Statistics Review

At the beginning of the school year, a high-school teacher asks every student in her classes to fill out a survey that asks the number of years they have lived at their current address, their favorite school subject, and whether they plan to go to college after high school.  Which of the following best describes the types of variables that are being measured? 

• three quantitative variables.

• two categorical variables and one quantitative variable.

• one categorical variable and two quantitative variables.

• three categorical variables

The overall shape of the distribution is:

• Roughly Symmetrical

• Skewed Right

• Skewed Left

• Uniform

The mean of the distribution is:

• Same as the median

• Less than the median

• Greater than the median

• Cannot be compared to the median

Based on the shape of this distribution, what numerical measures would best describe it?

• The median

• The mean

• The standard deviation

• The interquartile range

 The pie chart describes the distribution of favorite school subject for 200 high school students.    How many students reported that “Math” is their favorite subject? 

• 13

• 26

• 52

• 75

The bar graph shows the state of birth of the first 8 United States Presidents. What percentage of the first 8 U.S. Presidents were not born in Virginia?

• 20%

• 40%

• 25%

• 50%

Which of the following choices give two measures that are both resistant to outliers? 

• The median

• The IQR

• The mean

• The standard deviation

Without doing any calculations, which of the distributions shown (A, B, or C) has the largest standard deviation?

• A

• B

• C

The five-number summary for the weights (in grams) of 1200 tomatoes grown in a certain greenhouse is min = 90,  Q1 = 113.5, median = 140, Q3 = 161, and max = 236. About how many tomatoes weighed at most 113.5grams?

• 300

• 600

• 900

• 1200

In a class of 100 students, the grades on a statistics test are summarized in the following frequency table. 

Find the Median

• 90 ≤ x ≤ 100

• 80 ≤ x < 90

• 70 ≤ x < 80

• 60 ≤ x < 70