Quiz 1_MATH302

Quiz 1_MATH302

Part 1 of 3 –

Question 1 of 20    1.0 Points
Which of the following statements is true for the following data values: 7, 5, 6, 4, 7, 8, and 12?

A.Only the median and mode are equal

B.The mean, median and mode are all equal

C.Only the mean and mode are equal

D.Only the mean and median are equal

Question 2 of 20    1.0 Points
Which of the following statements are false?

A.A categorical variable is nominal if there is natural ordering of its possible values.

B.A variable is numerical if meaningful arithmetic can be performed on it.

C.Zip codes are usually treated as categorical variables, although they appear to be numerical.
D.All of the above

Question 3 of 20    1.0 Points
Which of the following are the three most common measures of central location?

A.Mean, median, and mode

B.Mean, variance, and standard deviation
C.Mean, median, and standard deviation
D.Mean, median, and variance

Question 4 of 20    1.0 Points
What kind of relationship between x and y is demonstrated by the scatter plot below?

A.No linear relationship

B.This is not a scatter plot

C.A negative linear relationship

D.A positive linear relationship

Question 5 of 20    1.0 Points
A scatterplot allows one to see:

A.whether there is any relationship between two variables

B.what type of relationship there is between two variables

C.Both (a) and (b) are correct

D.Neither (a) nor (b) is correct

Question 6 of 20    1.0 Points
The mode is best described as the

A.50th percentile

B.same as the average

C.middle observation

D.most frequently occurring value

Question 7 of 20    1.0 Points
Which of the following are the two most commonly used measures of variability?

A.Variance and median

B.Range and interquartile range

C.Mean and variance

D.Variance and standard deviation

Question 8 of 20    1.0 Points
The amount of time needed to run the Boston marathon is an example of which type of variable?

A.continuous

B.none of the above
C.discrete

D.qualitative

Question 9 of 20    1.0 Points
If a variable has possible values –2, 6, and 17, then this variable is

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A.neither a continuous nor a discrete variable

B.both a continuous and a discrete variable

C.a discrete variable

D.a continuous variable

Question 10 of 20    1.0 Points
A histogram that is positively skewed is also called

A.balanced

B.symmetric

C.skewed to the left

D.skewed to the right

Question 11 of 20    1.0 Points
For a boxplot, the box itself represents what percent of the observations?

A.middle 50%
B.100%

C.lower 25%

D.upper 75%

Question 12 of 20    1.0 Points
The difference between the first and third quartile is called the

A.mid range

B.interquartile range

C.interdependent range
D.unimodal range

Part 2 of 3 –

Question 13 of 20    1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in

scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

A student scored 84 points on a test where the mean score was 79 and the standard deviation was 4. Find the student’s z score, rounded to 2 decimal places, and place

it in the blank.

Question 14 of 20    1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in

scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the median number of children. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.  Question 15 of

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20    1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in

scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.
The following data are the base salaries, in thousands of dollars, of 50 chief executive officers for a sample of companies doing business with the state of

Connecticut. That is, the first entry in the table below corresponds to a salary of $125,000. A copy of this data set can be found in the Excel Workbook called

CEOSalaries.xls.
125    157    113    127    201
165    145    119    148    158
148    168    117    105    136
136    125    148    108    178
179    191    225    204    104
205    197    119    209    157
209    205    221    178    247
235    217    222    224    187
265    148    165    228    239
245    152    148    115    150

Find the median of the CEO salaries, in thousands of dollars, rounded to 2 decimal places. Do not use a dollar sign. Note: $177,760 should be recorded as

177.76.

CEOSalaries.xls

Question 16 of 20    1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in

scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

Suppose that an analysis of a set of test scores reveals that:  .

Compute the interquartile range.  Place your answer, rounded to 1 decimal place, in the blank. For example, 32.1 would be a legitimate entry.   Question 17 of 20

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1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in

scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 2.

Compute the standard deviation of the data. Place your answer, rounded to two decimal places, in the blank. For example, 3.45 would be a legitimate entry.  Question 18

of 20    1.0 Points

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), “E” or “e” (used in

scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Complex numbers should be in the form (a + bi) where “a” and “b” need to have explicitly stated values.
For example: {1+1i} is valid whereas {1+i} is not. {0+9i} is valid whereas {9i} is not.

The histogram below represents scores achieved by 250 job applicants on a personality profile.

How many job applicants scored below 60?  Place your answer in the blank. Do not use any stray symbols. For example, 123 would be a legitimate answer.

Part 3 of 3 –

Question 19 of 20    1.0 Points
Suppose that a sample of 10 observations has a standard deviation of 3, then the sum of the squared deviations from the sample mean is 30.

True False

Question 20 of 20    1.0 Points
If two data sets have the same range, the smallest and largest observations in both sets should be the same

True False

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