1.
1. Calculate the mean for the following data set:14 22 16 17 30 42 18 14 16
Correct Answer
B. 21
Explanation
The mean is calculated by adding up all the numbers in the data set and then dividing the sum by the total number of values. In this case, adding up all the numbers gives us a sum of 189. Since there are 9 numbers in the data set, we divide 189 by 9 to get the mean, which is 21.
2.
Which type of dimension includes the overall height, width, and depth?
Correct Answer
A. Size
Explanation
Size is the correct answer because it refers to the overall height, width, and depth of an object. This dimension is used to describe the physical dimensions or measurements of an object, such as its size in terms of length, width, and height. Size is an important aspect to consider when determining the space requirements or fitting an object into a specific area.
3.
Which guideline is not being followed in this example?
Correct Answer
C. Do no duplicate dimensions
Explanation
The guideline that is not being followed in this example is "do not duplicate dimensions". This means that there should not be multiple dimensions that provide the same measurement or information. Duplicating dimensions can lead to confusion and errors in interpreting the design or object being measured.
4.
What is the mode of this set of data?10 12 12 15 15 16 18 18 18 19 22 24
Correct Answer
A. 18
Explanation
The mode of a set of data is the value that appears most frequently. In this set of data, the number 18 appears three times, which is more than any other number. Therefore, the mode of this set of data is 18.
5.
What is median of this set of data?3 6 12 3 4 7 9 12 14
Correct Answer
E. 7
Explanation
The median is the middle value of a set of data when arranged in ascending order. In this case, when we arrange the data in ascending order, we have 3, 3, 4, 6, 7, 9, 12, 12, and 14. There are 9 numbers in total, so the middle value is the 5th number, which is 7. Therefore, the median of this set of data is 7.
6.
Which guideline is being ignored in this example?
Correct Answer
B. Avoid dimensioning to hidden lines
Explanation
The guideline being ignored in this example is "Avoid dimensioning to hidden lines". Dimensioning to hidden lines can lead to confusion and misinterpretation of the dimensions, as the hidden lines may not accurately represent the true size or position of the object. It is best to dimension to visible lines or surfaces to ensure clear and accurate measurements.
7.
How many dimension are required to fully dimension a hole?
Correct Answer
A. 3
Explanation
To fully dimension a hole, three dimensions are required. The first dimension is the diameter or size of the hole. The second dimension is the depth or length of the hole. And the third dimension is the position or location of the hole in relation to other features or reference points. These three dimensions provide all the necessary information to accurately describe and locate the hole in a technical drawing or design.
8.
Check the two views in which the height is represented?
Correct Answer(s)
A. Front
C. Right side
Explanation
The height of an object can be represented in two views: the front view and the right side view. In the front view, the height is shown vertically, indicating the distance from the base to the top of the object. In the right side view, the height is also represented vertically, but from a different angle, showing the height of the object from the side. These two views provide a comprehensive understanding of the height of the object from different perspectives.
9.
Check the two view where the depth can be dimensioned?
Correct Answer(s)
B. Top
C. Right side
Explanation
The depth can be dimensioned in the top view and the right side view. In the top view, the depth can be measured by looking down onto the object from above and measuring the distance from the front to the back. In the right side view, the depth can be measured by looking at the object from the side and measuring the distance from the front to the back.
10.
What is the range for the given set of data?2 5 5 5 9 9 12
Correct Answer
C. 10
Explanation
The range of a set of data is the difference between the largest and smallest values in the set. In this case, the largest value in the set is 12 and the smallest value is 2. Therefore, the range is 12 - 2 = 10.
11.
Which dimensioning guideline is being ignored in the following drawing?
Correct Answer
B. Avoid dimensioning inside the object
Explanation
The dimensioning guideline being ignored in the given drawing is "Avoid dimensioning inside the object." This means that the dimensions should not be placed within the boundaries of the object being dimensioned. In the drawing, there are dimensions that are placed inside the object, violating this guideline.
12.
A full circle should be dimensioned by its _________________.
Correct Answer
B. Diameter
Explanation
A full circle should be dimensioned by its diameter because the diameter is a straight line that passes through the center of the circle and connects two points on the circumference. It is the longest chord of the circle and provides important information about the size and proportions of the circle.
13.
Which dimensioning guideline is being ignored in this example?
Correct Answer
D. Dimension the view in which the contour of the feature can be viewed the best
Explanation
The dimensioning guideline being ignored in this example is "Dimension the view in which the contour of the feature can be viewed the best." This means that the dimensions should be placed in a way that allows for clear and accurate understanding of the feature's shape and contour. However, in this example, the dimensioning is not done in the view that provides the best visibility of the feature's contour.
14.
A __________ is a common data distribution graph that is used to show the frequency with which specific values, or values within ranges, occur in a set of data.
Correct Answer
C. Histogram
Explanation
A histogram is a common data distribution graph that is used to show the frequency with which specific values, or values within ranges, occur in a set of data. It consists of a series of bars, where the height of each bar represents the frequency or count of data points falling within a particular range or interval. Histograms are particularly useful for visualizing the shape and distribution of data, allowing us to identify patterns, outliers, and the overall spread of values. They are commonly used in statistics, data analysis, and research to analyze and interpret numerical data.
15.
In your own words, explain how statistics can be utilized in engineering.