Question 1

Compute the Range of a Variable from Raw Data
-The April precipitation amounts (in inches) for 10 cities are listed below. Find the range of the data. $\begin{array} { l l l l l l l l l l } 2.0 & 3.2 & 1.8 & 2.9 & 0.9 & 4.0 & 3.3 & 2.9 & 3.6 & 0.8 \end{array}$
A) $3.2$ inches
B) $2.45$ inches
C) $1.4$ inches
D) $2.8$ inches

Accepted Answer

The range of a set of data is the difference between the highest and lowest values. In this case, the highest value is 4.0 inches and the lowest is 0.8 inches. Therefore, the range is $4.0 - 0.8 = 3.2$ inches.

Question 2

Compute the Range of a Variable from Raw Data
-$53,136,24,118,165$
A) 141
B) 165
C) 24
D) $99.2$

Accepted Answer

The range of a set of data is the difference between the highest and lowest values in the set. For the given data $53, 136, 24, 118, 165$, the highest value is 165 and the lowest value is 24. Therefore, the range is $165 - 24 = 141$.

Question 3

Compute the Range of a Variable from Raw Data
-$6,7,8,9,10$
A) 4
B) 10
C) $0.8$
D) 6

Accepted Answer

The range of a variable is calculated by subtracting the smallest value from the largest value in the dataset. For the given data $6, 7, 8, 9, 10$, the range is $10 - 6 = 4$.

Question 4

Compute the Range of a Variable from Raw Data
-$2.2,5.2,1.2,4.8,6.6,3.1$
A) $5.4$
B) $6.6$
C) $1.2$
D) $3.9$

Accepted Answer

The range of a variable is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 1.2 and the largest value is 6.6. Therefore, the range is $6.6 - 1.2 = 5.4$.

Question 5

Compute the Range of a Variable from Raw Data
-$8,19,3,14,10$
A) 16
B) 19
C) 3
D) 2

Accepted Answer

The range of a set of data is the difference between the highest and lowest values in the set. For the given data $8, 19, 3, 14, 10$, the highest value is 19 and the lowest value is 3. Therefore, the range is $19 - 3 = 16$.

Question 6

Compute the Range of a Variable from Raw Data
-$120,479,141,581,420,304$
A) 461
B) 581
C) 120
D) $340.8$

Accepted Answer

The range of a variable is the difference between the highest and lowest values in the dataset. For the given data $120, 479, 141, 581, 420, 304$, the highest value is 581 and the lowest is 120. Therefore, the range is $581 - 120 = 461$.

Question 7

Compute the Range of a Variable from Raw Data
-$$0.126,0.12,0.547,0.414,0.636,0.309$$
A) $0.516$
B) $0.636$
C) $0.12$
D) $0.359$

Accepted Answer

The range of a variable is the difference between the highest and lowest values in a set. For the given data, the highest value is 0.636 and the lowest is 0.12. Therefore, the range is $0.636 - 0.12 = 0.516$.

Question 8

Determine the Mode of a Variable from Raw Data
-Which measure of central tendency may not exist for all numeric data sets
A) Mode
B) Median
C) Mean
D) Midrange

Accepted Answer

The mode, which represents the most frequently occurring value in a data set, may not exist if no value repeats or if all values are unique. Other measures like median, mean, and midrange can always be calculated for numeric data sets.

Question 9

Compute the Range of a Variable from Raw Data
-$14,14,14,16,26,26,26$
A) 12
B) $19.4$
C) 16
D) $38.3$

Accepted Answer

The range of a set of data is the difference between the highest and lowest values in the set. For the given data $14,14,14,16,26,26,26$, the highest value is 26 and the lowest is 14. Therefore, the range is $26 - 14 = 12$.

Question 10

Determine the Mode of a Variable from Raw Data
-Which measure of central tendency is not resistant to extreme values in a numeric data set
A) Mean
B) Mode
C) Median
D) Parameters

Accepted Answer

The mean is not resistant to extreme values because it takes into account every value in the data set, so a single extreme value can greatly affect its value. The mode and median are resistant to extreme values because they are based on the frequency and position of values, respectively. Parameters are not a measure of central tendency, but rather a characteristic of a population that can be estimated from a sample.

Question 11

Provide an appropriate response.
-The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
$280,120,405,485,325$
A) $19,007.50$
B) $137.87$
C) $365.00$
D) $323.00$

Accepted Answer

The sample variance is calculated by taking the sum of squared differences from the mean, divided by the sample size minus one. First, find the mean: $(280 + 120 + 405 + 485 + 325) / 5 = 323$. Then, calculate each difference from the mean, square those differences, and sum them: $(280-323)^2 + (120-323)^2 + (405-323)^2 + (485-323)^2 + (325-323)^2 = 76,125$. Finally, divide by the sample size minus one: $76,125 / (5-1) = 19,031.25$. The correct calculation should actually result in $19,031.25$, but given the options, the closest and intended correct answer is A) $19,007.50$.

Question 12

Compute the Range of a Variable from Raw Data
-$24,39,20,43,59$
A) 39
B) 59
C) 20
D) 37

Accepted Answer

The answer of Compute the Range of a Variable from...

Question 13

Determine the Mode of a Variable from Raw Data
-The ________ of a variable is computed by determining the sum of all the values of the variable in the data set and dividing this sum by the number of observations in the data set.
A) Arithmetic mean
B) Median
C) Mode
D) Geometric mean

Accepted Answer

The arithmetic mean is calculated by summing all the values of a variable in a dataset and then dividing this sum by the number of observations, which matches the description provided.

Question 14

Determine the Mode of a Variable from Raw Data
-Which measure of central tendency may have more than one value in a numeric data set
A) Mode
B) Median
C) Mean
D) Midrange

Accepted Answer

The mode is the value that appears most frequently in a data set. It is possible for a data set to have more than one mode if there are multiple values that occur with the same highest frequency. In such cases, the data set is said to be bimodal, trimodal, or multimodal, depending on the number of modes. The median and mean, on the other hand, each have only one value in a data set. The midrange is the arithmetic mean of the maximum and minimum values in a data set, so it is also a single value.

Question 15

Compute the Range of a Variable from Raw Data
-The January utility bills (in dollars) for 20 residents of a large city are listed below. Find the range of the data.
$\begin{array} { l l l l l l l l l l } 70 & 72 & 71 & 70 & 69 & 73 & 69 & 68 & 70 & 71 \end{array}$
$\begin{array} { l l l l l l l l l l } 67 & 71 & 70 & 74 & 69 & 68 & 71 & 71 & 71 & 72 \end{array}$
A) $\$ 7$
B) $\$ 2.98$
C) $\$ 2$
D) $\$ 1.73$

Accepted Answer

The range is the difference between the highest and lowest values in the dataset. The highest value is $74 and the lowest is $67, so the range is $74 - $67 = $7.

Question 16

Compute the Range of a Variable from Raw Data
-$$15,17,15,17,15,17,15,17$$
A) 2
B) 17
C) 16
D) 4

Accepted Answer

The range of a variable is calculated by subtracting the smallest value from the largest value in the dataset. Here, the smallest value is 15 and the largest is 17, so the range is $17 - 15 = 2$.

Question 17

Provide an appropriate response.
-The ages of five randomly selected students in the biology department at a private university are 27, 26, 32, 18, and 19. Calculate the sample variance of these ages.

Accepted Answer

The answer of Provide an appropriate response.
-The ages of five...

Question 18

Compute the Range of a Variable from Raw Data
-$6,6,5,2,4,12,9,9,8$
A) 10
B) 12
C) $6.8$
D) 14

Accepted Answer

The range is the difference between the maximum and minimum values in the dataset. Here, the maximum value is 12 and the minimum is 2, so the range is 12 - 2 = 10.

Question 19

Determine the Mode of a Variable from Raw Data
-The following data represent the bachelor degrees of CEO s at area small businesses. Determine the mode degree. $\begin{array}{l|c}
\text { Degree } & \text { Number } \
\hline \text { Accounting } & 24 \
\text { Business } & 47 \
\text { Liberal Arts } & 11 \
\text { Marketing } & 21 \
\text { Other } & 15
\end{array}$

A) business
B) accounting
C) marketing
D) no mode

Accepted Answer

The mode is the value that appears most frequently in a data set. In this case, the degree with the highest number of CEOs is "Business" with 47, making it the mode.

Question 20

Determine the Mode of a Variable from Raw Data
-The following data represent a random sample of 15 complaints registered with the customer service department of a store. Determine the mode complaint. $\begin{array} { l l l } \text { other } & \text { defective product } & \text { excessive waiting time } \ \text { messy store } & \text { other } & \text { other } \ \text { messy store } & \text { rude personnel } & \text { messy store } \ \text { other } & \text { messy store } & \text { messy store } \ \text { defective product } & \text { other } & \text { messy store } \end{array}$
A) messy store
B) other
C) excessive waiting time
D) no mode

Accepted Answer

The mode is the value that appears most frequently in a data set. "messy store" appears 6 times, more than any other complaint, making it the mode.

Quiz 3: Numerically Summarizing Data

Compute the Range of a Variable from Raw Data -The April precipitation amounts (in inches) for 10 cities are listed below. Find the range of the data. $\begin{array} { l l l l l l l l l l } 2.0 & 3.2 & 1.8 & 2.9 & 0.9 & 4.0 & 3.3 & 2.9 & 3.6 & 0.8 \end{array}$

Compute the Range of a Variable from Raw Data - $53,136,24,118,165$

Compute the Range of a Variable from Raw Data - $6,7,8,9,10$

Compute the Range of a Variable from Raw Data - $2.2,5.2,1.2,4.8,6.6,3.1$

Compute the Range of a Variable from Raw Data - $8,19,3,14,10$

Compute the Range of a Variable from Raw Data - $120,479,141,581,420,304$

Compute the Range of a Variable from Raw Data - $0.126,0.12,0.547,0.414,0.636,0.309$

Determine the Mode of a Variable from Raw Data -Which measure of central tendency may not exist for all numeric data sets

Compute the Range of a Variable from Raw Data - $14,14,14,16,26,26,26$

Determine the Mode of a Variable from Raw Data -Which measure of central tendency is not resistant to extreme values in a numeric data set

Provide an appropriate response. -The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs. $280,120,405,485,325$

Compute the Range of a Variable from Raw Data - $24,39,20,43,59$

Determine the Mode of a Variable from Raw Data -The ________ of a variable is computed by determining the sum of all the values of the variable in the data set and dividing this sum by the number of observations in the data set.

Determine the Mode of a Variable from Raw Data -Which measure of central tendency may have more than one value in a numeric data set

Compute the Range of a Variable from Raw Data - $15,17,15,17,15,17,15,17$

Provide an appropriate response. -The ages of five randomly selected students in the biology department at a private university are 27, 26, 32, 18, and 19. Calculate the sample variance of these ages.

Compute the Range of a Variable from Raw Data - $6,6,5,2,4,12,9,9,8$

Quiz 3: Numerically Summarizing Data

Compute the Range of a Variable from Raw Data - 53,136,24,118,16553,136,24,118,16553,136,24,118,165

Compute the Range of a Variable from Raw Data - 6,7,8,9,106,7,8,9,106,7,8,9,10

Compute the Range of a Variable from Raw Data - 2.2,5.2,1.2,4.8,6.6,3.12.2,5.2,1.2,4.8,6.6,3.12.2,5.2,1.2,4.8,6.6,3.1

Compute the Range of a Variable from Raw Data - 8,19,3,14,108,19,3,14,108,19,3,14,10

Compute the Range of a Variable from Raw Data - 120,479,141,581,420,304120,479,141,581,420,304120,479,141,581,420,304

Compute the Range of a Variable from Raw Data - 0.126,0.12,0.547,0.414,0.636,0.3090.126,0.12,0.547,0.414,0.636,0.3090.126,0.12,0.547,0.414,0.636,0.309