Education.com
Try
Brainzy
Try
Plus

# Statistical Concepts Practice Test

(not rated)
By McGraw-Hill Professional
Updated on Aug 26, 2011

## Statistical Concepts Practice Test

You may draw diagrams or use a calculator if necessary. A good score is at least 45 correct.

1. If you take a standardized test and then you are told you are in the 50th percentile, this means
1. that your score is among the lowest in the range
2. that your score is among the best in the range
3. that your score is near the middle of the range
4. that your score has low correlation
2. How many decile points are there in a set of 100,000 ranked data elements?
2. 9
3. 10
4. 99
5. 100
3. The term fuzzy truth is used to describe
1. a theory in which there are degrees of truth that span a range
2. standard deviation
3. cumulative frequency
4. the probability fallacy
5. any continuous distribution
4. Figure Test 1-1 shows the results of sunshine research in five imaginary towns, based on research carried out daily over the entire 100 years of the 20th century. What type of data portrayal is this?
1. A horizontal bar graph.
2. A point-to-point graph.
3. A correlation chart.
4. A cumulative frequency graph.
5. A pie chart.
5. What, if anything, is mathematically wrong or suspect in Fig. Test 1-1?
1. The bars should get longer and longer as you go further down.
2. All the bars should be the same length.
3. All the numbers at the right-hand ends of the bars should add up to 100%.
4. All the numbers at the right-hand ends of the bars should add up to the average number of days in a year (approximately 365.25).
5. There is nothing mathematically wrong or suspect in Fig. Test 1-1.
6. If the numbers at the right-hand ends of the bars in Fig. Test 1-1 represent percentages of days in an average year over the course of the observation period (rather than the actual number of days in an average year), how will the numbers be different? Assume the average number of days in a year is 365.25.
1. All the numbers will be reduced by a factor of 3.6525, and will be followed by percent symbols.
2. The sum of all the numbers will have to equal 100%.
3. All the numbers will be increased by a factor of 3.6525, and will be followed by percent symbols.
4. All the numbers will remain unchanged, but will be followed by percent symbols.
5. Fig. Test 1-1 does not contain enough information to determine percentages of days in an average year.
7. The average of the outcomes in an experiment is known as the
1. continuous variable
2. discrete variable
3. random variable
4. mean
5. frequency
8. Which of the following pairs of characteristics are both measures of the extent to which the data in a distribution is spread out?
1. The mean and the median.
2. The mean and the deviation.
3. The variance and the standard deviation.
4. The mode and the mean.
5. None of the above.
9. What is the mathematical probability that a coin, tossed 13 times in a row, will come up ''heads'' on all 13 tosses?
1. 1 in 512
2. 1 in 1024
3. 1 in 2048
4. 1 in 4096
5. 1 in 8192
10. A member of a set is also called
1. a dependent variable of the set
2. an independent variable of the set
3. a random variable of the set
4. a discrete variable of the set
5. none of the above
11. A continuous variable can attain
1. no values
2. one value
3. a positive whole number of values
4. infinitely many values
5. only negative values
12. Fill in the blank in the following sentence to make it true: ''In a normal distribution, a ___ __ is a number that divides a data set into 10 intervals, each interval containing about 1/10 or 10% of the elements in the data set.''
1. range
2. coefficient
3. decile
4. median
5. mode
13. When an object x is in either set A or set B but not both, then we can be sure that
1. x A B
2. x A B
3. x ≥ A
4. x B
5. B(x)
14. Suppose a large number of students take this test, and the results are portrayed in Fig. Test 1-2. This is an example of
1. a point-to-point graph
2. a continuous-curve graph
3. a histogram
4. a horizontal-bar graph
5. a normal distribution
15. In a graph of the type shown in Fig. Test 1-2, it is important that
1. the values all add up to 100%
2. no single value exceeds 50%
3. no two values be the same
4. the independent variable be shown on the vertical axis
5. numbers always be shown at the tops of the bars
16. In a graph of the type shown in Fig. Test 1-2, what is the maximum possible height that a bar could have (that is, the largest possible percentage)?
1. 0%
2. 20%
3. 50%
4. 80%
5. 100%
17. The set of integers has elements that are all
1. positive whole numbers or negative whole numbers
2. positive whole numbers, negative whole numbers, or zero
3. quotients of positive whole numbers
4. quotients of positive whole numbers or zero
5. quotients of negative whole numbers
18. Mathematical probabilities can have values
1. between –1 and 1 inclusive
2. corresponding to any positive real number
3. between 0 and 1 inclusive
4. corresponding to any integer
5. within any defined range
19. An outcome is the result of
1. a discrete variable
2. an independent variable
3. a correlation
4. a population
5. an event
20. The intersection of two disjoint sets contains
1. no elements
2. one element
3. all the elements of one set
4. all the elements of both sets
5. an infinite number of elements
21. Fill in the blank to make the following sentence true: ''A function is _____ if and only if the value of the dependent variable never grows any larger (or more positive) as the value of the independent variable increases.''
1. random
2. nondecreasing
3. nonincreasing
4. constant
5. trending horizontally
22. Fill in the blank to make the following sentence true: ''If the number of elements in a distribution is even, then the _____ is the value such that half the elements have values greater than or equal to it, and half the elements have values less than or equal to it.''
1. mean
2. average
3. standard deviation
4. median
5. variance
23. Figure Test 1-3 shows a general illustration of
1. a normal distribution
2. an invariant distribution
3. a random distribution
4. a uniform distribution
5. a variant distribution
24. In Fig. Test 1-3, the symbol σ represents
1. the distribution
2. the variance
3. the mean
4. the median
5. none of the above
25. The curve shown in Fig. Test 1-3 is often called
1. a linear function
3. a parabola
4. a bell-shaped curve
5. a complex curve
26. Let q represent a set of items or objects taken r at a time in no particular order, where both q and r are positive integers. The possible number of combinations in this situation is symbolized qCr and can be calculated as follows:
qCr = q! / [r!(qr)!]
27. Given this information, what is the possible number of combinations of 150 objects taken 2 at a time?

1. It is a huge number, and cannot be calculated precisely in a reasonable length of time without a computer.
2. 22,350
3. 11,175
4. 150
5. 148
28. Let q represent a set of items or objects taken r at a time in a specific order. The possible number of permutations in this situation is symbolized qPr and can be calculated as follows:
qPr = q! / (qr)!
29. Given this information, what is the possible number of permutations of 150 objects taken 2 at a time?

1. It is a huge number, and cannot be calculated precisely in a reasonable length of time without a computer.
2. 22,350
3. 11,175
4. 150
5. 148
30. Which of the following is an example of a discrete variable?
1. The direction of the wind as a tornado passes.
2. The number of car accidents per month in a certain town.
3. The overall loudness of sound during a symphony.
4. The speed of a car on a highway.
5. The thrust of a jet engine during an airline flight.
31. Two outcomes are independent if and only if
1. they always occur simultaneously
2. one occurs only when the other does not
3. they sometimes occur simultaneously, but usually they do not
4. the occurrence of one does not affect the probability that the other will occur
5. they rarely occur simultaneously, but once in a while they do
32. How many 25% intervals are there in a set of 100 ranked data elements?
1. 3
2. 4
3. 9
4. 10
5. 99
33. When manipulating an equation, which of the following actions is not allowed?
1. Multiplication of both sides by the same constant.
2. Subtraction of the same constant from both sides.
3. Addition of the same constant to both sides.
4. Division of both sides by a variable that may attain a value of zero.
5. Addition of a variable that may attain a value of zero to both sides.
34. In a frequency distribution:
1. the frequency is always less than 0
2. there is only one possible frequency
3. frequency is portrayed as the independent variable
4. frequency is portrayed as the dependent variable
5. none of the above
35. A graph that shows proportions that look like slices of a pizza is called
1. a histogram
2. a slice graph
3. a pie graph
4. a bar graph
5. a nomograph
36. In Fig. Test 1-4, suppose H1 and H2 represent two different sets of outcomes in an experiment. The light-shaded region, labeled H1 H2, represents
1. the set of outcomes common to both H1 and H2
2. the set of outcomes belonging to neither H1 nor H2
3. the set of outcomes belonging to either H1 or H2, but not both
4. the set of outcomes belonging to either H1 or H2, or both
5. the empty set
37. In Fig. Test 1-4, the dark-shaded region, labeled H1 H2H1 H2, shows the set of elements that are in H1 H2 but not in H1 H2. In a statistical experiment, this can represent
1. the set of outcomes common to both H1 and H2
2. the set of outcomes belonging to neither H1 nor H2
3. the set of outcomes belonging to either H1 or H2, but not both
4. the set of outcomes belonging to either H1 or H2, or both
5. the empty set
38. In Fig. Test 1-4, the entire portion that is shaded, either light or dark, represents
1. the set of outcomes common to both H1 and H2
2. the set of outcomes belonging to neither H1 nor H2
3. the set of outcomes belonging to either H1 or H2, but not both
4. the set of outcomes belonging to either H1 or H2, or both
5. the empty set
39. The Venn diagram of Fig. Test 1-4 portrays
1. complementary outcomes
2. mutually exclusive outcomes
3. independent outcomes
4. coincident outcomes
5. nondisjoint outcomes
40. In a normal distribution, an element in the 35th percentile lies within
1. the 1st quartile
2. the 2nd quartile
3. the 3rd quartile
4. the 4th quartile
5. the middle quartile
41. For any given positive integer n, the value of (n + 1)! is always
1. larger than n!
2. smaller than n!
3. equal to n!
4. a whole-number fraction of n!
5. none of the above
42. What is the mathematical probability that an ''unweighted'' die, tossed four times, will show the face with 6 dots on all four occasions?
1. 1 in 6
2. 1 in 36
3. 1 in 64
4. 1 in 1296
5. 1 in 46,656
43. Tables Test 1-1 and Test 1-2 portray the results of a hypothetical experiment consisting of 6000 tosses of five different dice. In each of the 6000 events, all five dice are gathered up and thrown at the same time. What is a fundamental difference between these two tables?
1. Table Test 1-1 shows ungrouped data, and Table Test 1-2 shows grouped data.
2. Table Test 1-1 shows grouped data, and Table Test 1-2 shows ungrouped data.
3. Table Test 1-1 shows weighted data, and Table Test 1-2 shows unweighted data.
4. Table Test 1-1 shows unweighted data, and Table Test 1-2 shows weighted data.
5. There is no functional difference between the two tables.
44. What general conclusion can be drawn from Table Test 1-1?
1. One of the five dice is heavily ''weighted,'' but the other four are not.
2. Three of the five dice are heavily ''weighted,'' and the other three are not.
3. The group of five dice, taken together, appears to be heavily ''weighted'' with a strong bias toward the higher face numbers.
4. The group of five dice, taken together, appears to be essentially ''unweighted'' with no significant bias toward any of the face numbers.
5. The table has a mistake because the numbers don't add up right.
45. Suppose the experiment whose results are portrayed in Table Test 1-1 is repeated, and another table of the same format is compiled. What should we expect?
1. Each die face should turn up approximately 5000 times.
2. Some of the die faces should turn up far more than 5000 times, while others should turn up far less than 5000 times.
3. The exact same results as those shown in Table Test 1-1 should be obtained.
4. The faces that turned up less than 5000 times in the first experiment should have a tendency to turn up more than 5000 times in the second experiment, and the faces that turned up more than 5000 times in the first experiment should have a tendency to turn up less than 5000 times in the second experiment.
5. We can't say anything about what to expect.
46. Table Test 1-2 shows the results of the same experiment as is shown by Fig. Test 1-1, but the data is more detailed. The dice are named by color (red, orange, yellow, green, blue) and by manufacturer (Corporations A, B, C, D, and E). What can be said about this table?
1. The numbers don't add up right.
2. A coincidence like this cannot possibly occur.
3. The orange die is heavily ''weighted'' and the other five are ''unweighted.''
4. The orange die is ''unweighted'' and the other five are heavily ''weighted.''
5. It represents a perfectly plausible scenario.
47. Suppose the experiment whose results are portrayed in Table Test 1-2 is repeated, and another table of the same format is compiled. What should we expect?
1. One die (but not the orange one) should show some variability, but all the other dice should show results of 1000 for each of their faces.
2. Some of the die faces should turn up far more than 1000 times, while others should turn up far less than 1000 times.
3. Each face of every die should turn up exactly 1000 times.
4. Each face of every die should turn up approximately 1000 times.
5. We can't say anything about what to expect.
48. A variable-width histogram is an excellent scheme for showing
1. proportions
2. correlation
3. medians
4. variances
5. ranges
49. When the values of a function are shown on a coordinate system for selected points, and adjacent pairs of points are connected by straight lines, the resulting illustration is
2. a bar graph
3. a Venn diagram
4. a histogram
5. a point-to-point graph
50. Examine Fig. Test 1-5. The points represent actual temperature readings, in degrees Celsius (8C), taken at 6-hour intervals over the course of a hypothetical day. The heavy dashed line is an educated guess of the actual function of temperature versus time during that day. This guess is an example of
1. functional extrapolation
2. curve fitting
3. variable extrapolation
4. linear interpolation
5. point shifting
51. In Fig. Test 1-5, suppose the heavy dashed line represents actual temperature readings obtained at 5-minute intervals during the course of a day, except for a 6-hour gap between 0600 and 1200. The straight line represents a crude attempt to fill in this gap, and is known as
1. functional extrapolation
2. curve fitting
3. variable extrapolation
4. linear interpolation
5. point shifting
52. In Fig. Test 1-5, time represents the
1. independent variable
2. dependent variable
3. curve variable
4. continuous random variable
5. discrete random variable
53. In a ranked data set, the value of the 3rd quartile point minus the value of the 1st quartile point is called
1. the interquartile range
2. the standard deviation
3. the variance
4. the coefficient of variation
5. the Z score
54. If two outcomes H1 and H2 are complementary, then the probability, expressed as a ratio, of one outcome is equal to
1. the probability of the other outcome
2. 1 times the probability of the other outcome
3. 1 divided by the probability of the other outcome
4. 1 plus the probability of the other outcome
5. 1 minus the probability of the other outcome
55. A sample of a population is
1. an experiment in the population
2. a subset of the population
3. a variable in the population
4. an outcome of the population
5. a correlation within the population
56. The collection of data with the intent of discovering something is called
1. a population
2. an experiment
3. a random variable
4. a discrete variable
5. a continuous variable
57. Suppose set C is a proper subset of set D. The union of these two sets
1. is the same as set C
2. contains no elements
3. contains one element
4. is the same as set D
5. contains infinitely many elements
58. Suppose you are among a huge group of students who have taken a standardized test. You are told that you scored better than 97 out of every 100 students. From this, you can gather that you are in the
1. 99th decile
2. 97th decile
3. 10th decile
4. 9th decile
5. 2nd quartile
59. When two variables are strongly correlated and their values are plotted as points on a graph, the points
1. lie along a well-defined line
2. are clustered near the top of the graph
3. are clustered near the bottom of the graph
4. are clustered near the center of the graph
5. are scattered all over the graph
60. If the fact that x is an element of set Q implies that x is also an element of set P, then
1. P is a subset of Q
2. P is a member of Q
3. Q is a subset of P
4. Q is a member of P
5. none of the above
61. Fill in the blank to make the following sentence true: ''Percentile points represent the 99 boundaries where _____ intervals meet.''
1. 25%
2. 10%
3. 101
4. 100
5. 99
62. When a function has a graph in which time is the independent variable, short-term forecasting can sometimes be done by
1. interpolation
2. Venn diagramming
3. histography
4. functional inversion
5. extrapolation

1. c
2. b
3. a
4. a
5. e
6. a
7. d
8. c
9. e
10. e
11. d
12. c
13. a
14. c
15. a
16. e
17. b
18. c
19. e
20. a
21. c
22. d
23. a
24. e
25. d
26. c
27. b
28. b
29. d
30. b
31. d
32. d
33. c
34. a
35. c
36. d
37. e
38. b
39. a
40. d
41. a
42. d
43. a
44. e
45. d
46. a
47. e
48. b
49. d
50. a
51. a
52. e
53. b
54. b
55. d
56. d
57. a
58. c
59. d
60. e

150 Characters allowed

### Related Questions

#### Q:

See More Questions

### Today on Education.com

Top Worksheet Slideshows