This page contains review questions for teaching ITSE-1302 Computer Programming: Scientific Python 1 at Austin Community College in Austin, TX.
The questions and the answers on this page are connected by hyperlinks to make it easy for you to navigate from the question to the answer and back again.
The questions on this page are similar to the questions that you will find on the test for this competency. Therefore, it is strongly recommended that you study the material until you thoroughly understand the material covered by these questions.
True or False: Positive correlation is a relationship between two variables in which the dependent variable decreases as the independent variable increases.
You create a scatter plot to show the relationship between two variables and draw a best fit line through the points. The line slopes upward going from left to right. This is an indication of which of the following:
A. A positive correlation.
B. A negative correlation.
C. Neither of the above.
You create a scatter plot to show the relationship between two variables and draw a best fit line through the points. The line slopes upward going from left to right. This is an indication of which of the following:
A. A positive causation.
B. A negative causation.
C. Neither of the above.
You create a relative frequency histogram of your data with five bins and the values in the bins going from left to right are the following:
0.05, 0.24, 0.4, 0.24, 0.05
This is most indicative of which of the following:
A. A left-skewed or negatively-skewed distribution.
B. A normal distribution.
C. A right-skewed or positively-skewed distribution.
D. None of the above.
You create a relative frequency histogram of your data with five bins and the values in the bins going from left to right are the following:
0.05, 0.5, 0.4, 0.24, 0.05
This is most indicative of which of the following:
A. A left-skewed or negatively-skewed distribution.
B. A normal distribution.
C. A right-skewed or positively-skewed distribution.
D. None of the above.
You create a relative frequency histogram of your data with five bins and the values in the bins going from left to right are the following:
0.05, 0.24, 0.4, 0.5, 0.05
This is most indicative of which of the following:
A. A left-skewed or negatively-skewed distribution.
B. A normal distribution.
C. A right-skewed or positively-skewed distribution.
D. None of the above.
Which of the following are theoretically true for a normal distribution? Check all that apply.
A. The mean is greater than the median.
B. The mean and the median are greater than the mode.
C. The median is greater than the mean.
D. The mean and the median are less than the mode.
E. The mean, the median, and the mode are equal.
F. None of the above.
Which of the following is true for a right-skewed or positively skewed distribution?.
A. The mean is typically greater than the median.
B. The median is typically greater than the mean.
C. The mean, the median, and the mode are equal.
D. None of the above.
Which of the following is true for a left-skewed or negatively skewed distribution?
A. The mean is typically greater than the median.
B. The median is typically greater than the mean.
C. The mean, the median, and the mode are equal.
D. None of the above.
Given a sample from a heavily skewed population, which of the following probably is most representative of the center of the population?
A. The mean of the sample.
B. The median of the sample.
C. Neither of the above.
Which of the following most closely approximates the Interquartile Range (IQR) of a distribution?
A. 25%
B. 50%
C. 75%
D. None of the above.
Which of the following are shown by a box and whisker plot? Check all that apply.
A. center
B. spread
C. range
D. standard deviation
E. variance
Which if any of the following is a very close approximation of the percentage of a normal distribution that falls within plus and minus one standard deviation of the mean?
A. 25.5%
B. 50.5%
C. 75.5%
D. 100.5%
E. None of the above.
Which if any of the following is a very close approximation of the percentage of a normal distribution that falls within plus and minus two standard deviations of the mean?
A. 17.5%
B. 34.5%
C. 68.5%
D. 95.5%
E. 110.5%
True or False? Subtracting the mean value from every value in a dataset will change the overall shape of the distribution.
True or False? Subtracting the mean value from every value in a dataset and then multiplying every value by a constant will change the standard deviation of the distribution.
True or False? Given a cubic die with six faces and and the numerals 1, 2, 3, 4, 5, and 6 printed on the faces, the probability that a 6 will appear in one roll of the die is 0.1667 or 16.67%.
True or False? Given two cubic die, each with six faces and the numbers 1, 2, 3, 4, 5, and 6 printed on the faces, the probability that a 6 will appear on each die when you roll two die simultaneously is 5.54%.
True or False? A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups numbers into ranges. Taller bars show that more data falls within that range. A histogram displays a visual estimate of the shape and spread of continuous sample data.
True or False? The median of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The mean is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
False.
Explanation
Mean and median were reversed in the statement. To be true, the statement would read:
The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
True.
Explanation
See https://www.khanacademy.org/math/probability/data-distributions-a1/displays-of-distributions/v/histograms-intro for example.
False.
Explanation
The probability is one part in 36 or 2.78%.
True.
Explanation
The probability is one part in six or 16.67%.
True.
Explanation
This is a commonly-used way to change the standard deviation of a dataset.
False.
Explanation
Subtracting the mean value from every value in a dataset simply slides the distribution along the horizontal axis causing it to be centered at zero. It does not change the shape of the distribution.
D. 95.5%
Explanation
Approximately 95.45% of a normal distribution falls within plus and minus two standard deviations of the mean. See https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule for example.
E. None of the above.
Explanation
Approximately 68.27% of a normal distribution falls within plus and minus one standard deviation of the mean? See https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule for example.
A. center
B. spread
C. range
Explanation
The variance and the standard deviation are not shown by a box and whisker plot. The other items in the list are shown.
B. 50%
Explanation
The IQR contains two quarters or 50% of the data values.
B. The median of the sample.
Explanation
See http://condor.depaul.edu/sjost/it223/documents/central.htm for example.
B. The median is typically greater than the mean.
Explanation
See "Statistics Exercises Part 2".
Also see http://www.statisticshowto.com/probability-and-statistics/skewed-distribution/ for example.
A. The mean is typically greater than the median.
Explanation
See "Statistics Exercises Part 2".
Also see http://www.statisticshowto.com/probability-and-statistics/skewed-distribution/ for example.
E. The mean, the median, and the mode are equal.
Explanation
See "Statistics Exercises Part 2".
Theoretically, the mean, the median, and the mode are all equal for a dataset with a normal distribution.
A. A left-skewed or negatively-skewed distribution.
Explanation
See "Statistics Exercises Part 1".
Also see http://www.statisticshowto.com/probability-and-statistics/skewed-distribution/ for example.
C. A right-skewed or positively-skewed distribution.
Explanation
See "Statistics Exercises Part 1".
Also see http://www.statisticshowto.com/probability-and-statistics/skewed-distribution/ for example.
B. A normal distribution.
Explanation
See "Statistics Exercises Part 1".
Also see http://www.statisticshowto.com/probability-and-statistics/skewed-distribution/ for example.
C. Neither of the above.
Explanation
The plot indicates a positive correlation but correlation does not imply causation.
See "Statistics Exercises Part 1"
A. A positive correlation.
Explanation
See "Statistics Exercises Part 1"
False.
Explanation
That is the description of a negative correlation.
See "Statistics Exercises Part 1"
File name: StatisticsReview.htm
Revised: 04/24/18
Copyright 2018, Richard Baldwin
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