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**Sample Questions Posted Below**

**CHAPTER 3**

**Vive La Différence: Understanding Variability**

Part I. Multiple-Choice Questions (20 items)

- The average and which of the following can be used to describe the characteristics of a distribution and show how distributions differ from one another?
- mode
- median
- variability
- sum

Ans: c

- Variability is a measure of how much each score in a group of scores differs from the what?
- mode
- median
- variability
- mean

Ans: d

- The three measures of variability commonly used to reflect the spread or dispersion in a group of scores are the standard deviation, the variance, and the what?
- range
- outliers
- skew
- percentile

Ans: a

- When subtracting the largest number in a distribution from the smallest, what type of variability is being calculated?
- outliers
- standard deviation
- variance
- range

Ans: d

- What is the term associated with scores that are at the extreme ends of the distribution?
- variability
- outliers
- skew
- percentile

Ans: b

- If a distribution is “significantly distorted” what is this called?
- variability
- outliers
- skew
- percentile

Ans: c

- In the formula for computing the range, what does the letter “h” represent?
- summation
- sample size
- lowest score
- highest score

Ans: d

- In the formula for computing the standard deviation, what does the Greek letter “S” represent?
- summation
- sample size
- mean value of the group
- individual scores

Ans: a

- In the formula for computing the variance, what does the letter “n” represent?
- summation
- sample size
- mean value of the group
- individual scores

Ans: b

- When calculating the standard deviation, what must be done in order to obtain an unbiased estimate of the population?
- subtract 1 from X
- subtract 1 from N
- subtract 1 from n
- add 1 to n

Ans: c

- Which of the following sets of scores has the most variability?
- 7,10,11,15,19
- 7,7,8,8,10,11
- 7,7,7,7,7,7,7
- 6,6,7,7,7,7,7

Ans: a

- What is the most general measure of variability?
- standard deviation
- range
- mean
- variance

Ans: b

- What is the formula for the exclusive range?
*r – n +*1*h – l +*1*(h – l)r**h – l*

Ans: d

- What is the formula for the inclusive range?
*r – n +*1*h – l +*1*(h – l)r**h – l*

Ans: b

- Which of the following is the correct function for calculating an unbiased estimate of the variance in the population?
- AVERAGE(A1:A15)
- STDEV(A1+A2+A3)/3
- VAR(A1:A12)
- STDEV(A1:A10)

Ans: d

- What will the sum of the deviations from the mean always equal?
*n*– 1- 0
- 1
*n*+ 1

Ans: b

- What is obtained by squaring the standard deviation?
- mean deviation
- range
- variance
- squared deviation

Ans: c

- Which of the following is one way to represent variance?
*s**s*^{2}*√s**s/n*

Ans: b

- What is the most frequently used measure of variability?
- mean deviation
- range
- variance
- standard deviation

Ans: d

- If you intend to use a sample as an estimate of a population parameter, which standard deviation is the best to calculate?
- biased
- unbiased
- squared deviation
- mean deviation

Ans: b

__Part II. Short-Answer Questions (10 items)__

- What are the measures of variability discussed in the textbook?

Ans: Range, standard deviation, variance

- What is the formula for computing both the exclusive and inclusive ranges?

Ans: Exclusive range: *r* = *h* – *l*; Inclusive range: *r* = *h* – *l* + 1

- What is the formula for the standard deviation?

Ans:

- How would you go about computing the variance for a set of scores?

Ans: You could just square the standard deviation . . . or you could use the standard deviation formula and skip the last step, which requires taking the square root.

- Explain why the standard deviation is referred to as an unbiased estimate. Why are unbiased estimates important to researchers?

Ans: Because *n* – 1 is used in the denominator, we call the *SD* an unbiased estimate of the population’s *SD.* By artificially inflating the *SD,* researchers are conservative in their estimate of the population *SD.*

- Write out the two Excel formulas for computing the standard deviation and the variance.

Ans: VAR(A1:A12) STDEV(A1:A10)

- What is the range of the following set of scores?
**10, 15, 12, 18, 19, 16, 12**

Ans: The range is 9

- What is the
*s*of the following set of scores?**10, 15, 12, 18, 19, 16, 12**

Ans: The standard deviation is 3.6

9.What is the *s*^{2} of the following set of scores? **10, 15, 12, 18, 19, 16, 12**

Ans: The variance is 11.29

- What is the
*s*^{2}of the following set of scores?**20, 24, 26, 22, 18, 16, 18**

Ans: The variance is 12.95

**CHAPTER 1**

**Statistics or Sadistics? It’s Up to You**

** **

__Part I. Multiple-Choice Questions (20 items)__

__ __

__ __

__ __

- What term is used to describe the science of organizing and analyzing information to make the information more easily understood?
- Analysis
- Data
- Interpretation
- Statistics

Ans: d

- Which of the following individuals used statistics methods during the 17th century to study the intelligence of his family members?
- Charles Darwin
- Francis Galton
- Isaac Newton
- Alfred Binet

Ans: b

- Which of the following would be used to describe the type of statistical methods used to organize and describe the characteristics of a collection of data?
- Inferential statistics
- Descriptive statistics
- Sampling methods
- Population methods

Ans: b

- Which of the following would be used to describe the type of statistical methods used to make inferences about the population based on a sample?
- Inferential statistics
- Descriptive statistics
- Sampling methods
- Population methods

Ans: a

- What is a mathematical operator used to perform a mathematical task called?
- function
- formula
- average
- range

Ans: b

- Which of the following would be considered a formula?
- SUM(A1:A3)
- AVERAGE(A1:A9)
- SUM(3,4)
- 2+5

Ans: d

- Which of the following is an example of an Excel formula for taking the number 6 to the power of 2?
- =6+2
- =6^2
- 6+2
- 6^2

Ans: b

- What symbol is used for representing the mathematical operator “division” when using Excel?
- =
- *
- /
- –

Ans: c

- What symbol is used for representing the mathematical operator “multiplication” when using Excel?
- =
- *
- /
- –

Ans: b

- What symbol is used for representing the mathematical operator “subtraction” when using Excel?
- =
- *
- /
- –

Ans: d

- In Excel, what is a collection of cells called?
- average
- sum
- range
- mean

Ans: c

- Which of the following formulas subtracts the value of 3 from 6 and multiplies the outcome by 2?
- SUM(3,6)*2
- =6-3*2
- SUM(3,6,2)
- =(6-3)*2

Ans: d

- Which of following formulas averages the values of 6, 5, 7, 4, and 10?
- AVERAGE(A4:A10)
- SUM(4,5,6,7,10)
- AVERAGE (10,4,5,6,7)
- 6+5+7+4/10

Ans: c

- What was the first ever Excel-like computer application called?
- Visicalc
- Calcgraph
- Excel-graph
- Excelcalc

Ans: a

- Most of the basic statistical procedures were first developed and used in agriculture and which of the following fields?
- biology
- botany
- astronomy
- geology

Ans: c

- Every formula contains the name of the function and the function’s what?
- operator
- argument
- average
- population

Ans: b

- An argument in mathematical terms is which of the following?
- a disagreement
- a set of premises
- an operator
- an average

Ans: b

- Which of the following formulas will add each of the scores together and divide the sum by 3?
- x + y + z/3
- x + y + (z)/3
- (x + y + z)/3
- x + y + z:3

Ans: c

- You can see the formula behind the screens in a worksheet by entering what?
- Ctrl+’
- Ctrl+Alt
- Ctrl F10
- Ctrl Page Dn

Ans: a

- Where will the results of the formula appear when you hit the Enter key?
- in the selected cell
- in the formula bar
- in the toolpak
- in the operator

Ans: a

__Part II. Short-Answer Questions (10 items)__

- According to the text, statistical procedures were first developed in what field of study?

Ans: Statistical procedures were first developed in the fields of agriculture, astronomy, and politics.

- What is a formula?

Ans: A formula is a set of mathematical operators that performs a specific mathematical task.

- What is a function?

Ans: A function is a predefined formula.

- When might a person use descriptive statistics?

Ans: Descriptive statistics are used to describe the characteristics of a data set.

- When might a person use inferential statistics?

Ans: Inferential statistics are used when you want to make an inference about the population based on a sample.

- What is a population?

Ans: A population is a complete data set of objects or participants such as all the undergraduate students in a particular University.

- What is a sample?

Ans: A sample is a smaller subset of data taken from the larger population such as class of undergraduate students in the University.

- How can a course in statistics make you a better student in the sciences?

Ans: Having some background in statistics makes you a better student in the sciences because you will have a better understanding not only of what you read in journals but also what your professors and colleagues may be discussing and doing in and out of class.

- Explain the steps in creating a function that would add the data in a range of cells?

Ans: Enter the function in the cell where you want the results to appear, enter the range of cells on which you want the function to operate, and press the Enter key.

- What function would you enter to find the average of the data in cells A1 through A10? Ans: To find the average of the data in cells A1 through A10, enter the function =AVERAGE(A1:A10).

**statistics test bank, **

Category: Mathematics

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