Question 1

For a set of data which contains extreme values, the best measure of a central location among the following is the
A) mean.
B) median.
C) mode.
D) midrange.

Accepted Answer

The median is the best measure of central location for a set of data with extreme values because it is not affected by outliers or skewed data, unlike the mean. The median divides the data set into two equal halves, ensuring a more accurate representation of the central tendency when extreme values are present.

Question 2

A stem-and-leaf display is especially helpful in finding the
A) mean.
B) midquartile.
C) midrange.
D) median.

Accepted Answer

A stem-and-leaf display organizes data in a way that makes it easier to see the distribution and to locate the median, which is the middle value when the data are ordered.

Question 3

The mean of $Q_{1}$ and $Q_{3}$ equals the
A) midrange.
B) midquartile.
C) median.
D) mean.

Accepted Answer

The midquartile is defined as the mean of the first quartile ($Q_{1}$) and the third quartile ($Q_{3}$), which makes option B correct.

Question 4

When no two values are the same, which measure is exceeded by as many values as it exceeds?
A) the median
B) the mean
C) the first quartile
D) the midrange

Accepted Answer

The median is the middle value in a data set when it is ordered from least to greatest, ensuring that it is exceeded by as many values as it exceeds.

Question 5

The _______ is not a measure of central location.
A) mean
B) second quartile
C) first quartile
D) midquartile

Accepted Answer

The answer of The _______ is not a measure of...

Question 6

The 65th percentile is always less than
A) $Q_{3}$.
B) the midquartile.
C) the mean.
D) the median.

Accepted Answer

The 65th percentile is a measure indicating that 65% of the data falls below it. $Q_{3}$, or the third quartile, represents the 75th percentile, meaning 75% of the data falls below it. Therefore, the 65th percentile is always less than $Q_{3}$.

Question 7

When data contains extreme values, which of the following is the poorest measure of location?
A) the median
B) $Q_{2}$
C) the midrange
D) the midquartile

Accepted Answer

The midrange, calculated as the average of the maximum and minimum values in a dataset, is the poorest measure of location when data contains extreme values because it is highly sensitive to those extremes. The median, $Q_{2}$, and the midquartile are more robust against outliers and extreme values.

Question 8

For the data 2, 10, 20, 15, 100, 30, and 90, which of the following measures would be changed if the 90 were changed to 70 ?
A) the mean
B) the median
C) the mode
D) the midrange

Accepted Answer

The answer of For the data 2, 10, 20, 15,...

Question 9

Which of the following measures is not equal to the other measures?
A) $D_{5}$
B) $Q_{3}$
C) the median
D) $P_{50}$

Accepted Answer

$Q_{3}$ represents the third quartile, which is the 75th percentile, while the other measures ($D_{5}$, the median, and $P_{50}$) all represent the 50th percentile.

Question 10

For the data 1, 2, 4, 6, 8, 12, and 15, which of the following measures of location is not changed if either the 4, 6, or 12 is removed?
A) the mean
B) the median
C) the midrange
D) the midquartile

Accepted Answer

The answer of For the data 1, 2, 4, 6,...

Question 11

Having received a bonus of $\$ 30,000$ for accepting early retirement in July, 2000, a company's project manager invested $\$ 9,000$ in a municipal bond paying $3.69 \%, \$ 14,000$ in a money market fund paying $4.01 \%$, and $\$ 7000$ in a certificate of deposit paying $3.29 \%$. Using the respective amounts invested as weights, find the weighted mean of the three percentages.
A) $\bar{x}_{w}=3.75 \%$
B) $\bar{x}_{w}=3.66 \%$
C) $\bar{x}_{w}=3.74 \%$
D) $\bar{x}_{w}=3.67 \%$

Accepted Answer

The weighted mean $\bar{x}_{w}$ is calculated by multiplying each percentage by its respective weight (amount invested), summing these products, and then dividing by the total amount invested. Thus, $\bar{x}_{w} = \frac{(9000 \times 3.69) + (14000 \times 4.01) + (7000 \times 3.29)}{9000 + 14000 + 7000} = \frac{33210 + 56140 + 23030}{30000} = \frac{112380}{30000} = 3.746\%$, which rounds to $3.75\%$.

Question 12

A pet supply store advertised the following aquarium tanks, of which it had, respectively, 23, 7, 17, 9, and 12 in stock:  (a) What is the average size of these aquariums?
(b) What is the average price of these aquariums?
A) (a) 16.6 gallons; (b) $\$ 139.71$
B) (a) 19.4 gallons; (b) $\$ 160.00$
C) (a) 11.7 gallons;(b) $\$ 118.75$
D) (a) 25.9 gallons; (b) $\$ 197.49$

Accepted Answer

The answer of A pet supply store advertised the following...

Question 13

The grades obtained on a test by twelve students in a class are listed below.
$66,70,68,75,80,86,64,73,80,94,72,91$
-For this data, construct a stem-and-leaf display.

Accepted Answer

The answer of The grades obtained on a test by...

Question 14

The grades obtained on a test by twelve students in a class are listed below.
$66,70,68,75,80,86,64,73,80,94,72,91$
-For this data, find the mean.

Accepted Answer

The answer of The grades obtained on a test by...

Question 15

The grades obtained on a test by twelve students in a class are listed below.
$66,70,68,75,80,86,64,73,80,94,72,91$
-For this data, find the median.

Accepted Answer

The answer of The grades obtained on a test by...

Question 16

The grades obtained on a test by twelve students in a class are listed below.
$66,70,68,75,80,86,64,73,80,94,72,91$
-For this data, find the mode.

Accepted Answer

The answer of The grades obtained on a test by...

Question 17

The frequency distribution of grades on a test for a class of 30 students is given below:
 
-Find the median.

Accepted Answer

The answer of The frequency distribution of grades on a...

Question 18

The frequency distribution of grades on a test for a class of 30 students is given below:
 
-Find $Q_{3}$.

Accepted Answer

The answer of The frequency distribution of grades on a...

Question 19

At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below.
182, 160, 120, 140, 155, 136, 115, 190, 144, 200
-For this data, construct a stem-and-leaf display.

Accepted Answer

The answer of At the start of the program, ten...

Question 20

At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below.
182, 160, 120, 140, 155, 136, 115, 190, 144, 200
-For this data, find the median.

Accepted Answer

The answer of At the start of the program, ten...

Quiz 3: Summarizing Data: Measures of Location

For a set of data which contains extreme values, the best measure of a central location among the following is the

A stem-and-leaf display is especially helpful in finding the

The mean of $Q_{1}$ and $Q_{3}$ equals the

When no two values are the same, which measure is exceeded by as many values as it exceeds?

The _______ is not a measure of central location.

The 65th percentile is always less than

When data contains extreme values, which of the following is the poorest measure of location?

For the data 2, 10, 20, 15, 100, 30, and 90, which of the following measures would be changed if the 90 were changed to 70 ?

Which of the following measures is not equal to the other measures?

For the data 1, 2, 4, 6, 8, 12, and 15, which of the following measures of location is not changed if either the 4, 6, or 12 is removed?

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, construct a stem-and-leaf display.

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, find the mean.

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, find the median.

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, find the mode.

The frequency distribution of grades on a test for a class of 30 students is given below: -Find the median.

The frequency distribution of grades on a test for a class of 30 students is given below: $The frequency distribution of grades on a test for a class of 30 students is given below: -Find Q_{3} .$ -Find $Q_{3}$ .

At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below. 182, 160, 120, 140, 155, 136, 115, 190, 144, 200 -For this data, construct a stem-and-leaf display.

At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below. 182, 160, 120, 140, 155, 136, 115, 190, 144, 200 -For this data, find the median.

Quiz 3: Summarizing Data: Measures of Location

For a set of data which contains extreme values, the best measure of a central location among the following is the

A stem-and-leaf display is especially helpful in finding the

The mean of Q1Q_{1}Q1​ and Q3Q_{3}Q3​ equals the

When no two values are the same, which measure is exceeded by as many values as it exceeds?

The _______ is not a measure of central location.

The 65th percentile is always less than

When data contains extreme values, which of the following is the poorest measure of location?

For the data 2, 10, 20, 15, 100, 30, and 90, which of the following measures would be changed if the 90 were changed to 70 ?

Which of the following measures is not equal to the other measures?

For the data 1, 2, 4, 6, 8, 12, and 15, which of the following measures of location is not changed if either the 4, 6, or 12 is removed?

A pet supply store advertised the following aquarium tanks, of which it had, respectively, 23, 7, 17, 9, and 12 in stock: (a) What is the average size of these aquariums? (b) What is the average price of these aquariums?

The grades obtained on a test by twelve students in a class are listed below. 66,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,91 -For this data, construct a stem-and-leaf display.

The grades obtained on a test by twelve students in a class are listed below. 66,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,91 -For this data, find the mean.

The grades obtained on a test by twelve students in a class are listed below. 66,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,91 -For this data, find the median.

The grades obtained on a test by twelve students in a class are listed below. 66,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,9166,70,68,75,80,86,64,73,80,94,72,91 -For this data, find the mode.

The frequency distribution of grades on a test for a class of 30 students is given below: -Find the median.

The frequency distribution of grades on a test for a class of 30 students is given below: -Find Q3Q_{3}Q3​ .

At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below. 182, 160, 120, 140, 155, 136, 115, 190, 144, 200 -For this data, construct a stem-and-leaf display.

At the start of the program, ten dieters entering a weight-loss program have the weights (in pounds) shown below. 182, 160, 120, 140, 155, 136, 115, 190, 144, 200 -For this data, find the median.

The mean of $Q_{1}$ and $Q_{3}$ equals the

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, construct a stem-and-leaf display.

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, find the mean.

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, find the median.

The grades obtained on a test by twelve students in a class are listed below. $66,70,68,75,80,86,64,73,80,94,72,91$ -For this data, find the mode.

The frequency distribution of grades on a test for a class of 30 students is given below: $The frequency distribution of grades on a test for a class of 30 students is given below: -Find Q_{3} .$ -Find $Q_{3}$ .