Question 1

A set of visual displays organizing and presenting information used to monitor the performance of a company or organization in a manner that is easy to read, understand, and interpret is called a _____.

Accepted Answer

A data dashboard is a collection of visual displays that provide an overview of key performance indicators for a company or organization. It is designed to be easily readable and allows decision-makers to quickly identify trends or areas that need attention. A stem-and-leaf display, stacked bar chart, and crosstabulation are all types of data visualizations, but do not necessarily make up a complete dashboard.

Question 2

Use Excel to make a box plot of the following data:
​ $$\begin{array} { l l l l l } 
115 & 191 & 153 & 194 & 236 \
184 & 216 & 185 & 183 & 202
\end{array}$$

Accepted Answer

The answer of Use Excel to make a box plot...

Question 3

Chebyshev's theorem requires that z be _____.

Accepted Answer

Chebyshev's theorem states that at least (1 - 1/z^2) of the data values in any dataset will lie within z standard deviations from the mean, where z is any positive number greater than 1. Therefore, choice B, which states that z must be greater than 1, is the best choice.

Question 4

The measure of central location most often reported for annual income and property value data is the _____.

Accepted Answer

The median is the measure of central location that is most appropriate for annual income and property value data because it is less affected by outliers and extreme values, which are common in these types of data. The mode is typically not used for continuous data such as income and property values. Weighted mean and aggregate mean are not appropriate if the data are skewed.

Question 5

An important numerical measure related to the shape of a distribution is the _____.

Accepted Answer

Skewness is a measure of the asymmetry of a distribution. It tells us how different the distribution is from a symmetrical (normal) distribution. A positive skewness indicates that the tail of the distribution is longer on the right side, while a negative skewness indicates that the tail is longer on the left side. Therefore, skewness is an important measure of the shape of a distribution. The other choices, correlation coefficient, variance, and relative location, are not measures of the shape of a distribution.

Question 6

Interpret the scatter plot in terms of correlation.
​

Accepted Answer

The answer of Interpret the scatter plot in terms of...

Question 7

Use Excel to make a box plot of the following data:
​ $$\begin{array} { r l l l l } 
15 & 11 & 53 & 14 & 36 \
68 & 26 & 15 & 13 & 20
\end{array}$$ ​
​

Accepted Answer

The answer of Use Excel to make a box plot...

Question 8

Chebyshev's theorem is applicable _____.

Accepted Answer

Chebyshev's theorem is a general rule that applies to any data set, regardless of size, shape, or the presence of outliers. It provides an estimate of the proportion of data points that lie within a certain number of standard deviations from the mean.

Question 9

If the data distribution is symmetric, the skewness is _____.

Accepted Answer

Skewness is a measure of the degree of asymmetry in a distribution. If the distribution is symmetric, it has no asymmetry and therefore, the skewness is 0.

Question 10

Explain why Chebyshev's theorem cannot be used for one standard deviation from the mean.

Accepted Answer

The answer of Explain why Chebyshev's theorem cannot be used...

Question 11

Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context.

Accepted Answer

The answer of Suppose the mean GMAT score is 550...

Question 12

Provide a five-number summary for the following data. $$\begin{array} { l l l l l } 
115 & 191 & 153 & 194 & 236 \
184 & 216 & 185 & 183 & 202
\end{array}$$

Accepted Answer

The answer of Provide a five-number summary for the following...

Question 13

Which of the following values of r indicates the strongest correlation?

Accepted Answer

The value of r ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. Therefore, the magnitude of the correlation coefficient indicates the strength of the correlation. The absolute value of -.9 is closer to 1 than any of the other values listed, indicating a stronger correlation.

Question 14

The measure of location often used in analyzing growth rates in financial data is the _____.

Accepted Answer

The geometric mean is the most appropriate measure of location for growth rates in financial data because it reflects the compounded annual growth rate. The arithmetic mean and weighted mean may not accurately represent the growth rate, as they are affected by outliers and weights respectively. The hyperbolic mean is not commonly used in financial analysis.

Question 15

A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a(n) _____.

Accepted Answer

A weighted mean is calculated by multiplying each data value by a weight, and then summing up the products and dividing by the sum of the weights. This type of mean is useful when certain data values are more important or carry more weight in the overall calculation.

Question 16

In 1998, the average age of students at UTC was 22 with a standard deviation of 3.96. In 1999, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work and support your answer.

Accepted Answer

The answer of In 1998, the average age of students...

Question 17

If r = 0.48 for data set A and r = -0.48 for data set B, which of the following is true?

Accepted Answer

The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. The magnitude of r indicates the strength of the correlation, while the sign indicates the direction. Both r = 0.48 and r = -0.48 have the same magnitude but different directions, indicating the same level of correlation strength but in opposite directions.

Question 18

When the data are positively skewed, the mean will usually be _____.

Accepted Answer

When a data set is positively skewed, it means that there are more extreme values on the right side of the distribution. This would pull the mean towards those higher values, making it greater than the median, which is simply the middle value in the data set. However, the mode (the most frequent value) may or may not be affected by skewness. Therefore, the best choice is B.

Question 19

Describe how a comparative analysis using box plots of men's vs. women's salaries at ACME, Inc. could be used.
​

Accepted Answer

The answer of Describe how a comparative analysis using box...

Question 20

For data skewed to the left, the skewness is _____.

Accepted Answer

Skewed data to the left is negatively skewed, meaning the tail of the data distribution is on the left side. Therefore, the skewness measure will be negative. Choices A and B are incorrect because they suggest a small or positive skewness, which is not the case for left-skewed data.

Quiz 3: Descriptive Statistics: Numerical Measures

A set of visual displays organizing and presenting information used to monitor the performance of a company or organization in a manner that is easy to read, understand, and interpret is called a _____.

Use Excel to make a box plot of the following data: $\begin{array} { l l l l l } 115 & 191 & 153 & 194 & 236 \\184 & 216 & 185 & 183 & 202\end{array}$

Chebyshev's theorem requires that z be _____.

The measure of central location most often reported for annual income and property value data is the _____.

An important numerical measure related to the shape of a distribution is the _____.

Interpret the scatter plot in terms of correlation.

Use Excel to make a box plot of the following data: $\begin{array} { r l l l l } 15 & 11 & 53 & 14 & 36 \\68 & 26 & 15 & 13 & 20\end{array}$

Chebyshev's theorem is applicable _____.

If the data distribution is symmetric, the skewness is _____.

Explain why Chebyshev's theorem cannot be used for one standard deviation from the mean.

Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context.

Provide a five-number summary for the following data. $\begin{array} { l l l l l } 115 & 191 & 153 & 194 & 236 \\184 & 216 & 185 & 183 & 202\end{array}$

Which of the following values of r indicates the strongest correlation?

The measure of location often used in analyzing growth rates in financial data is the _____.

A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a(n) _____.

In 1998, the average age of students at UTC was 22 with a standard deviation of 3.96. In 1999, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work and support your answer.

If r = 0.48 for data set A and r = -0.48 for data set B, which of the following is true?

When the data are positively skewed, the mean will usually be _____.

Describe how a comparative analysis using box plots of men's vs. women's salaries at ACME, Inc. could be used.

For data skewed to the left, the skewness is _____.

Quiz 3: Descriptive Statistics: Numerical Measures

A set of visual displays organizing and presenting information used to monitor the performance of a company or organization in a manner that is easy to read, understand, and interpret is called a _____.

Use Excel to make a box plot of the following data: ​ 115191153194236184216185183202\begin{array} { l l l l l } 115 & 191 & 153 & 194 & 236 \\184 & 216 & 185 & 183 & 202\end{array}115184​191216​153185​194183​236202​

Chebyshev's theorem requires that z be _____.

The measure of central location most often reported for annual income and property value data is the _____.

An important numerical measure related to the shape of a distribution is the _____.

Interpret the scatter plot in terms of correlation. ​

Use Excel to make a box plot of the following data: ​ 15115314366826151320\begin{array} { r l l l l } 15 & 11 & 53 & 14 & 36 \\68 & 26 & 15 & 13 & 20\end{array}1568​1126​5315​1413​3620​ ​ ​

Chebyshev's theorem is applicable _____.

If the data distribution is symmetric, the skewness is _____.

Explain why Chebyshev's theorem cannot be used for one standard deviation from the mean.

Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context.

Provide a five-number summary for the following data. 115191153194236184216185183202\begin{array} { l l l l l } 115 & 191 & 153 & 194 & 236 \\184 & 216 & 185 & 183 & 202\end{array}115184​191216​153185​194183​236202​

Which of the following values of r indicates the strongest correlation?

The measure of location often used in analyzing growth rates in financial data is the _____.

A mean computed in such a way that each data value is given a weight reflecting its importance is referred to as a(n) _____.

In 1998, the average age of students at UTC was 22 with a standard deviation of 3.96. In 1999, the average age was 24 with a standard deviation of 4.08. In which year do the ages show a more dispersed distribution? Show your complete work and support your answer.

If r = 0.48 for data set A and r = -0.48 for data set B, which of the following is true?

When the data are positively skewed, the mean will usually be _____.

Describe how a comparative analysis using box plots of men's vs. women's salaries at ACME, Inc. could be used. ​

For data skewed to the left, the skewness is _____.

Use Excel to make a box plot of the following data: $\begin{array} { l l l l l } 115 & 191 & 153 & 194 & 236 \\184 & 216 & 185 & 183 & 202\end{array}$

Interpret the scatter plot in terms of correlation.

Use Excel to make a box plot of the following data: $\begin{array} { r l l l l } 15 & 11 & 53 & 14 & 36 \\68 & 26 & 15 & 13 & 20\end{array}$

Provide a five-number summary for the following data. $\begin{array} { l l l l l } 115 & 191 & 153 & 194 & 236 \\184 & 216 & 185 & 183 & 202\end{array}$

Describe how a comparative analysis using box plots of men's vs. women's salaries at ACME, Inc. could be used.