Name:    Statistics Quiz

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Secondary data is data that is collected:
 a. About secondary school students b. During the second part of the study c. By the person conducting the research d. By someone other than the person conducting the research

2.

Ryan surveys 300 students to find out their favourite TV show.  The most appropriate method to display his data would be a:
 a. Bar graph b. Frequency polygon c. Histogram d. Box-and-whisker plot

3.

Which of the following is NOT a measure of dispersion in a set of data?
 a. mean b. interquartile range c. variance d. standard deviation

4.

The formula below will determine the a. population mean b. sample mean c. mode d. median e. grouped data average f. weighted average

5.

This formula will calculate the a. population mean b. mode c. median d. sample mean e. weighted average f. grouped data median

6.

Below are the investment weightings of each time of investment for Bob, Pavneet, and Jose.

 Investments Return% Bob’s weights Pavneet’s weights Jose’s weights Cash 0 10 10 25 Bond fund 10 20 20 40 Income fund 15 20 50 30 Growth fund -5 50 20 5

Based on the information in the chart above, which investment portfolio will have the highest investment growth?
 a. Bob b. Pavneet c. Jose d. None of them

7.

Which of the following is not true about the mode:
 a. The mode is usually less useful than the median or mean b. A data set may have more than one mode c. It is possible for a data set to have no mode d. Every data set has a mode

8.

Which of the following is not true about the median
 a. It is generally a good measure of central tendency b. Every data set has a median c. The median is not as susceptable to being skewed by outliers d. It is easier to calculate than the mean or mode

9. What is the mean of the data set above?
 a. 13.14 b. 17.5 c. 218.57 d. 16.6

10.

Why is mean, median, or mode never enough to describe a data set on their own?
 a. You don’t know what the min and max values are b. You don’t know how the individual data points are distributed throughout the range c. You can’t tell if there is more than one central tendency to the data d. all of these answers are correct.

11.

One of the best and most-used tools to visualize one variable statistics that eliminates many of the limitations of mean, median and mode is a
 a. Scatter plot b. Bar graph c. Line graph d. Histogram e. Pie grapm

12.

What is the independent variable in a correlational study of amounts of sunlight and the heights of tomato plants?
 a. the types of tomato plants b. the heights of the tomato plants c. the angle of the sun d. the numbers of hours of sunlight

13.

Discuss the observation that “Drivers of red cars are twice as likely to be involved in an accident as drivers of blue cars.” Does this imply that driving a red car “causes” drivers to have an accident? What is the relationship here?
 a. causation b. common cause c. coincidence d. none of the above

14.

A higher number of ice cream sales corresponds to a higher number of shark attacks on swimmers.
 a. causation b. common cause c. coincidence d. none of the above

15.

Which of the following is the dependent variable?
 a. heart disease b. cholesterol level c. could be either

16.

Which of the following is the dependent variable?
 a. hours of basketball practice b. free-throw success rate c. could be either

17.

Which of the following is the dependent variable?
 a. running speed b. pulse rate c. could be either

18.

Which set of data would probably show a strong positive linear correlation?
 a. marks on a history test and the heights of the students b. the number of defective light bulbs produced and the time of the day when they were manufactured c. the colour of cars sold and the annual income of the car buyers d. the hight of the corn in a field and the amount of precipitation during the growing season

19.

Which set of data would probably show a strong negative linear correlation?
 a. resale values of computers and their ages b. heights of volleyball players can jump and the strength of their leg muscles c. numbers of people at a water park and the air temperature d. scores on a mathematics test and the number of hours spent studying for it

20.

If the rate of ozone depletion and the temperature were shown to be negatively correlated, then
 a. a low rate of depletion would occur at lower temperatures b. a high rate of depletion would occur at higher temperatures c. a low rate of depletion would occur at higher temperatures d. a high rate of depletion would occur at lower temperatures e. (a) and (b) are correct f. (c) and (d) are correct g. None are correct

21.

A set of data with a correlation coefficient of –0.55 has a
 a. strong negative linear correlation b. moderate negative linear correlation c. weak negative linear correlation d. little or no linear correlation

22.

The correlation coefficient for weed growth in a lake and temperature was found to be 0.915. The scatter plot for the data would have
 a. an array of dots with no discernible pattern to them b. dots clustered in a linear fashion sloping up to the left c. dots tightly clustered in a linear fashion  sloping up to the right d. a cluster of dots in the middle of the graph

23.

For the line of best fit in the least-squares method,
 a. the sum of the squares of the residuals (squared error) has the greatest possible value b. the sum of the squares of the residuals (squared error) has the least possible value c. the sum of the residuals is equal to one d. both (b) and (c)

24.

An outlier is a data point that
 a. should sometimes be left out of a statistical analysis b. may be an abnormal result c. may significantly affect the calculation of the correlation coefficient d. all of these are correct

25.

The coefficient of determination (the goodness of fit), r2, indicates
 a. the linear relationship between two variables b. the slope of the line of best fit (i.e. the regression line) c. how closely the data fit a defined curve d. the percentage of squared (residual) error removed by regression

26.

Observe the graphs below. The y-values are daily maximum temperatures, their average is 0.5 degrees celcius. The purple squares in graph A indicate the squared error from using a simple average temperature (the line is y=0.5) to predict the value of a single data point. In graph B  the squared error is from using a model of linear regression to predict temperature. Thus, the value of the coefficient of determination (the goodness of fit), r2 for the linear model in graph B is likely:

 a. 0.21 b. zero c. 0.97 d. 0.76 e. 61.0

27.

The population of certain species of animals decreases as logging in wilderness areas increases is most likely an example of a
 a. causal (i.e. cause-and-effect) relationship b. common cause relationship (i.e. both are related to some third unknown variable) c. coincidental relationship

28.

The sales of sports cars increase as the school year comes to a close in June is most likely an example of a

 a. causal (i.e. cause-and-effect) relationship b. common cause relationship (i.e. both are related to some third unknown variable) c. coincidental relationship

29.

The price of bread and canola oil both increase sharply after the prairies experience a drought during the growing season is most likely an example of a
 a. causal (i.e. cause-and-effect) relationship b. common cause relationship (i.e. both are related to some third unknown variable) c. coincidental relationship

30.

Studies find that consumption of vitamin C reduces the number and severity of colds that people get is most likely an example of a
 a. causal (i.e. cause-and-effect) relationship b. common cause relationship (i.e. both are related to some third unknown variable) c. coincidental relationship

31.

The longer you spend sleeping on your right side the more likely it will be a sunny day in the morning is most likely an example of a
 a. causal (i.e. cause-and-effect) relationship b. common cause relationship (i.e. both are related to some third unknown variable) c. coincidental relationship

32.

The current world price of crude oil increases as the price of gasoline at the pump increase is most likely an example of a
 a. causal (i.e. cause-and-effect) relationship b. common cause relationship (i.e. both are related to some third unknown variable) c. coincidental relationship

33.

Does the slope of a line of regression (line of best fit) tell you anything (on its own) about the relationship between two variables?
 a. yes, lots b. almost nothing c. nothing d. none of these answers is correct

The coach of the Statsville football team wants to determine if there is a relationship between how fast players can run 60 m and how far they can throw the football. The results for the Statsville players are graphed in the scatterplot below. 34.

Based on the scatter plot, are there any data points that could be identified as outliers?
 a. Yes, one. b. Yes, two. c. No, none d. There are several.

35.

If the regression line for this scatter plot is: Throwing Distance = -3(Sprint Time) + 50, then use the model to predict the throwing distance of an athlete who can sprint 60m in 5 seconds.
 a. 68.6 m b. 50 m c. 40 m d. 35 m e. The answer is not on this list

36.

Based on the scatter plot (ignoring any outliers), what type of relationship exists between the two variables?
 a. Weak positive relationship b. Strong positive relationship c. Weak negative relationship d. Strong negative relationship e. No relationship

37.

Which one of the following images showing relationships on a scatter plot would have a correlation coefficient of r = 0.6? a. graph A b. graph B c. graph C d. graph D e. all of them f. none of them

Matching

Match the following terms to their definition below.
 a. Categorical k. Outlier b. Census l. Percentile c. Continuous m. Population d. Discrete n. Quartile e. Interquartile range o. Range f. Mean p. Sample g. Mean absolute deviation q. Sample deviation h. Median r. Sampling frame i. Mode s. Standard deviation j. Ordinal t. Variance

38.

The set of all individuals who belong to the group being studied by a survey.

39.

In a set of data, the sum of the values of a variable divided by the total number of values.

40.

When a set of data is ranked from the highest value to the lowest, the middle value is called...

41.

The value that occurs most frequently in a set of data is the...

42.

A value that is distant from the majority of values in a set of data.

43.

The body or group from which a sample is selected.

44.

Divide a set of ranked data into one hundred groups with equal numbers of values. A single group is called...

45.

The square root of the variance measures the typical deviation a single data point will have from the mean. It is called...