G11ASP-Statistics SWQ Mock Exam-T1

A survey typically records many variables of interest to the researchers involved. Below are some of the variables from a survey conducted by the U.S. Postal Service. Which of the variables is categorical?

• Country of residence

• Number of people, both adults and children, living in the household

• Total household income, before taxes, in 1993

• Age of respondent

• Number of rooms in the dwelling

A teacher asks the 29 students in his statistics class how many minutes they spent on one homework assignment, what is the distribution of the variable “time on homework”?

• the difference between the longest time and the shortest time among the students’ responses

• a description of what values the variable takes and how often it takes them

• the average distance between each value of the variable

• the average time the students spent on the assignment

• the number of students who were asked the questions—that is, 29

𝑋 and 𝑌 are two categorical variables. What is the best way to determine if there is a relation between them?

• construct parallel box plots of the X and Y values

• draw dot plots of the X and Y values

• make a two-way table of the X and Y values

• compare medians and interquartile ranges of the X and Y values

• compare means and standard deviations of the X and Y values

One way economists measure the health of the real estate market is by counting “housing starts,” or the number of permits issued for construction of new homes. Below is a graph displaying housing starts (in thousands) in the United States from 2006 to 2009.

What is the principle weakness of this graphical presentation of data?

• The “thousands” label on the vertical scale is confusing and misleading.

• The data only shows housing starts for four years, which is not enough time to identify a meaningful trend.

• Using proportionally-sized pictograms exaggerates the difference between years.

• Data of this type should only be displayed in a pie chart.

• It is unclear which dimension of the house represents the number of housing starts for that year.

The histogram shows heights of gold-medal-winning high jumps in the Olympic Games since 1896.

Which of the following statements is supported by this histogram?

• The median jump is between 75 and 80 inches

• The median jump is between 80 and 85 inches

• The smallest jump must be below 65 inches

• The winning jump in the 1976 Olympic Games was 40 inches

• The mean jump was equal to the median jump

Which of the following values is closest to the mean jump?

• 70 inches

• 74 inches

• 75 inches

• 81 inches

• 86 inches

Based on this histogram, the percentage of the winning jumps that were at least 80 inches is about

• 10%

• 35%

• 45%

• 55%

• 90%

For a physics course containing 10 students, the maximum point total for the quarter was 200. The point totals for the 10 students are given in the stem plot below. This stem plot is most similar to ______________________.

• a histogram with class intervals 110≤Score<120, 120≤Score<130, etc

• a time plot of the data with the observations taken in increasing order

• a boxplot of the data

• reporting the 5 number summary for the data, with the mean

• a dot plot of the data

A consumer group surveyed the prices for a certain item in five different stores, and reported the average price as $15. We visited four of the five stores, and found the prices to be $10, $15, $15, and $25. Assuming that the consumer group is correct, what is the price of the item at the store that we did not visit?

• $5

• $10

• $15

• $20

• $25

The median age of five elephants at a certain zoo is 30 years. One of the elephants, whose age is 50 years, is transferred to a different zoo. What is the median age of the remaining four elephants?

• 40 years

• 30 years

• 25 years

• less than 30 years

• Cannot be determined from the information given