1. C 2. E 3. A 4. A??
Which of the following variables for data about a track team is a discrete variable?
C would be the discrete variable??
The height of a team member
A
The weight of a team member
B
The number of times that a team member finished first in a race
C
The time recorded for the last race that was run by a team member
D
The time recorded for a one-mile race by a team member
E
I was thinking C. because it would be the # of times total and would be quantitative . Like counting performance ranking 1,2,3,4,5 but I wasn't sure.
The traffic engineer for a large city is conducting a study on traffic flow at a certain intersection near the city administration building. The engineer will collect data on different variables related to the intersection each day for ten days. Of the following variables, which will be measured using continuous data?
E?
The number of cars passing through the intersection in one hour
A
The number of pedestrians crossing the intersection in one hour
B
The number of bicyclists crossing the intersection in one hour
C
The number of food trucks that park within four blocks of the intersection
D
The number of minutes for a car to get from the intersection to the administration building E
The following dotplot shows the number of strokes taken by 20 professional golfers competing at an 18-hole golf course.
The figure presents a dotplot titled Number of Strokes, and the numbers 62 through 70 are indicated, in increments of 1. The dotplot contains 20 data points. The data are as follows. 62 strokes, 0 golfers. 63 strokes, 0 golfers. 64 strokes, 2 golfers. 65 strokes, 4 golfers. 66 strokes, 2 golfers. 67 strokes, 6 golfers. 68 strokes, 3 golfers. 69 strokes, 3 golfers. 70 strokes, 0 golfers.
Which of the following best describes the type of variable represented in the dotplot?
A??
Quantitative and discrete
A
Quantitative and continuous
B
Categorical and discrete
C
Categorical and continuous
D
Quantitative and categorical
E
The figure presents a histogram. The horizontal axis is labeled Tree Diameter, in centimeters, and the numbers 0 through 55, in increments of 5, are indicated. The vertical axis is labeled Frequency, and the numbers 0 through 30, in increments of 5, are indicated. The data represented in the histogram are as follows. Note that all values are approximate. 0 through 5 centimeters, 4. 5 through 10 centimeters, 20. 10 through 15 centimeters, 27. 15 through 20 centimeters, 22. 20 through 25 centimeters, 6. 25 through 30 centimeters, 0. 30 through 35 centimeters, 0. 35 through 40 centimeters, 0. 40 through 45 centimeters, 4. 45 through 50 centimeters, 10. 50 through 55 centimeters, 6.
Which of the following is the best description of the distribution?
A? there is two clusters on each side with a gap between 25-40, but would that be the best terminology or would it be a right skew?
The distribution consists of two clusters and a gap.
A
The distribution is approximately normal.
B
The distribution is symmetric with a skew to the right.
C
The distribution is skewed to the left.
D
The distribution is uniform.
E
Agree with first two and last one, but not golf answer. Look up definitions for your terms.
For the first question, you are asked to identify the discrete variable from a list of variables related to a track team. A discrete variable is one that can only take on specific, separate values.
Looking at the options:
A) The height of a team member: This variable is continuous, as height can take on any value within a range.
B) The weight of a team member: Similar to height, weight is also a continuous variable.
C) The number of times that a team member finished first in a race: This variable is discrete since it represents a count and can only take on whole number values.
D) The time recorded for the last race that was run by a team member: This variable is continuous, as time can take on any value within a range.
E) The time recorded for a one-mile race by a team member: Similar to the previous option, this variable is continuous.
So, the correct answer is C) The number of times that a team member finished first in a race.
For the second question, you need to identify the variable that will be measured using continuous data in a study on traffic flow at an intersection. Continuous data is data that can take on any value within a range.
Looking at the options:
A) The number of cars passing through the intersection in one hour: This variable is discrete since it represents a count and can only take on whole number values.
B) The number of pedestrians crossing the intersection in one hour: Similar to the previous option, this variable is discrete.
C) The number of bicyclists crossing the intersection in one hour: Again, this variable is discrete.
D) The number of food trucks that park within four blocks of the intersection: This variable is discrete as it represents a count of food trucks.
E) The number of minutes for a car to get from the intersection to the administration building: This variable is continuous as it can take on any value within a range.
So, the correct answer is E) The number of minutes for a car to get from the intersection to the administration building.
For the third question, you are asked to describe the type of variable represented in a dotplot showing the number of strokes taken by professional golfers.
A) Quantitative and discrete: This option is correct as the number of strokes is a quantitative variable (measurements of a numerical value) and the dotplot displays separate, distinct values.
B) Quantitative and continuous: This option is not correct as the dotplot does not display a continuous range of values.
C) Categorical and discrete: This option is not correct as the dotplot does not represent categories, but actual numerical values.
D) Categorical and continuous: This option is not correct as the dotplot does not represent categories, but actual numerical values.
E) Quantitative and categorical: This option is not correct as the dotplot represents a quantitative variable, not a categorical variable.
So, the correct answer is A) Quantitative and discrete.
For the fourth question, you are asked to describe the distribution represented in a histogram showing tree diameters.
A) The distribution consists of two clusters and a gap: This option is correct as the histogram shows two distinct clusters of frequencies with a gap in the middle.
B) The distribution is approximately normal: This option is not correct as the histogram does not resemble a bell-shaped curve characteristic of a normal distribution.
C) The distribution is symmetric with a skew to the right: This option is not correct as the histogram is not symmetric and has a gap between the clusters.
D) The distribution is skewed to the left: This option is not correct as the histogram is not skewed to the left but has a gap between the clusters.
E) The distribution is uniform: This option is not correct as the histogram does not show a uniform or equal distribution of values.
So, the correct answer is A) The distribution consists of two clusters and a gap.
1. The variable that is discrete is the number of times that a team member finished first in a race, so the answer is C.
2. The variable that will be measured using continuous data is the number of minutes for a car to get from the intersection to the administration building, so the answer is E.
3. The type of variable represented in the dotplot is quantitative and discrete, so the answer is A.
4. The best description of the distribution in the histogram is that it consists of two clusters and a gap, so the answer is A.