For the following pressure data, recorded in units of pound-force per square inch, answer the following questions
a. What is the mean of the data?
b. What is the median of the data?
c. What is the variance of the data?
d. What is the standard deviation of the data?
(a)
Calculate the mean of the data provided.
Answer to Problem 2ICA
The mean of the data provided is 23.3 psi.
Explanation of Solution
Formula used:
Write the expression for mean.
Calculation:
Find the sum of all the data provided.
Substitute
Conclusion:
Thus, the mean of the data provided is 23.3 psi.
(b)
Calculate the median of the data provided.
Answer to Problem 2ICA
The median of the data provided is
Explanation of Solution
Calculation:
Median of the data set can be found out by arranging the data in ascending order and choosing the center number.
Arranging in ascending order yields the series.
The center value in an ascending order series is
Conclusion:
Thus, the median of the data provided is
(c)
Calculate the variance of the data provided.
Answer to Problem 2ICA
The variance of the data provided is
Explanation of Solution
Formula used:
Write the expression for variance.
Calculation:
Substitute
Substitute 23.3 psi for Mean, 3 psi for
Conclusion:
Thus, the variance of the data provided is
(d)
Calculate the standard deviation of the data provided.
Answer to Problem 2ICA
The standard deviation of the data provided is
Explanation of Solution
Formula used:
Write the expression for standard deviation.
Calculation:
Substitute
Conclusion:
Thus, the standard deviation of the data provided is
Want to see more full solutions like this?
Chapter 14 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
- Some engineering components have a mean length of 20 mm and a standard deviation of 0.25mm. Assume that the data on the lengths of the components is normally distributed. In a batch of 50 components, determine the number of components likely to:i) Have a length of less than 19.95mmii) Be between 19.95mm and 20.15 mmiii) Be longer than 20.54 mmarrow_forwardCorrect the following false statements: 1) The systematic errors occur in the output readings of a measurement system that are consistently?on two sides of the correct reading. 2) The accuracy is a measure of how well the output returns to a given value when the same input is?applied several times. 3) As the standard deviation increases for a measurement set, we can express greater confidence that the calculated mean or median value is close to the true value.?arrow_forwardA work measurement analyst at the Dorben Company took 10 observations of a high-production job. He rated the performance of each cycle and then calculated the average normal time for each item. The item with the largest dispersion had a mean of 0.30 minutes and a standard deviation of 0.03 minutes. If it is desired to have sample data within ±5% of the actual data, how many observations should the time study analyst take of this operation?arrow_forward
- Calculate the average fall time and standard deviation using the data above. Average - 1.5s Stdev- 1.85s Use the average fall time and one of the kinematic equations to determine the height of the building. Add the standard deviation from step 1 to the average fall time from step 2. This represents a “maximum fall time.” Use this time to calculate the “maximum” height of the building.arrow_forwardSuppose you have conducted 25 measurements of a random variable (Temperature) and obtained the following data in Table 2 below: Calculate the sample mean temperature, standard deviation, and standard deviation of the means of these temperature measurements. Estimate 95% confidence interval for true mean temperature. Determine the range within which the true mean temperature exists at a 95% confidence level based on this finite datasetarrow_forwardFive of your classmates measured the diagonal length of the blackboard. Classmate A measured it as 2.54 m; classmate B as 2.46 m; classmate C as 2.65 m; classmate D as 2.55 m; and classmate E as 2.39m. Find the variance and standard deviation of the measurements. Also, express the average measurement in a form that includes uncertainty.arrow_forward
- Give a definition for each term: standard deviation, calibration, uncertainty.arrow_forwardA manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms. To test this claim, 50 pieces of each type of thread were tested under similar conditions. Type A thread had an average tensile strength of 86.7 kilograms with a standard deviation of 6.28 kilograms, while type B thread had an average tensile strength of 77.8 kilograms with a standard deviation of 5.61 kilograms. Test the manufacturer’s claim using a 0.05 level of significance. 1. Determine the Z calculated in two decimal places. 2. Determine the Z table in two decimal places. 3. Is the manufacturing claim statistically valid? yes or noarrow_forward1.Calculate Mean ,Median ,standard deviation and variance for measurement sets A, B and C SET A :398 ,420, 394, 416, 404, 408 ,400, 420 ,396, 413 ,430. • SET B:409 406 402 407 405 404 407 404 407 407 408 SET C:409 406 402 407 405 404 407 404 407 407 408 406 410 406 405 408 406 409 406 405 409 406 407arrow_forward
- Ten measurements are taken resulting in a standard deviation of 0.10 s.a. Determine the uncertainty in the measurement.b. If an uncertainty one fifth the value found in a. is desired how many measurementswould be required (assume that the standard deviation with this number ofmeasurements is the same as with ten measurements).arrow_forwardWhat is the 95% confidence interval for each of the three measured parameters?arrow_forwardBottles for room spray are supposed to weigh exactly 16 oz. Inspectors want to develop process control charts. They take o7 boxes of five bottles each and weigh them. They obtain the following data. The mean weights of each of the 07 samples are 14.6,16.5,18.1,13.2,16,15.9, and 14.8 respectively. Likewise, the range values for the each of 07 samples are o.7,0.5, 0.4,0.2,0.4,0.5, and o.9 respectively. Ebr the X-bar charts and R-charts, the Parameters, A2, D3 and D4 are respectively.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY