Concept explainers
Calculate the mean, standard deviation, and variance for the given measured values.
Answer to Problem 8P
The mean, variance, and standard deviation for the given values of screw length are
The mean, variance, and standard deviation for the given values of pipe diameter are
Explanation of Solution
Given data:
The given measured values of screw length and pipe diameter are shown below.
Screw Length (cm) | Pipe diameter (in.) |
2.55 | 1.25 |
2.45 | 1.18 |
2.55 | 1.22 |
2.35 | 1.15 |
2.6 | 1.17 |
2.4 | 1.19 |
2.3 | 1.22 |
2.4 | 1.18 |
2.5 | 1.17 |
2.5 | 1.25 |
The total number of measured values,
Formula used:
From equation 19.1 in the textbook, the formula to find mean for any sample is,
Here,
From equation 19.5 in the textbook, the formula to find the variance is,
From equation 19.6 in the textbook, the formula to find standard deviation is,
Calculation:
Calculation for Screw length:
Substitute all the value of screw length for
Substitute all the value of screw length for
Substitute all the value of screw length for
Calculation for pipe diameter:
Substitute all the value of pipe diameter for
Substitute all the value of pipe diameter for
Substitute all the value of pipe diameter for
Therefore, the mean, variance, and standard deviation for the given values of screw length are
Conclusion:
Thus, the mean, variance, and standard deviation for the given values of screw length are
Want to see more full solutions like this?
Chapter 19 Solutions
EBK ENGINEERING FUNDAMENTALS: AN INTROD
- For Problem 19.1, using Equations (19.1) and (19.6), calculate the mean and standard deviation of the class scores.arrow_forwardI Review the body relative to the cross-section. Consider the pipe assembly shown in (Figure 1). Neglect the weight of the pipe. Take F1 = {200 i – 200 j – 200 k} N and F2 = {200 i + 500 j} N. Express your answers using three significant figures separated by a comma. %3D Vy, Vz = -300,200 N Submit Previous Answers Correct Part C Determine the x, y, and z components of internal moment acting at a section passing through point B on the left part of the body relative to the cross-section. Figure 1 of 1 Express your answers using three significant figures separated by commas. vec Mg, My, M; = 400, – 300,200 N·m F, B Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining 1.5 m Provide Feedback Next >arrow_forwardCalculate the standard deviation, variance, average speed & explain the meaning of your standard deviationarrow_forward
- As an engineer working for a water bottling company, you collect the following data in order to test the performance of the bottling systems. Plot the data and calculate the mean and standard deviation. Milliliters of Water Frequency in the Bottle 485 13 490 17 495 25 500 40 505 23 510 18 515 15arrow_forwardFor computing the variance this number is called as the value that is added or subtracted from the most probable value. O a. Error O b. Accuracy c. Probable Error d. Mistake Clear my choicearrow_forwardUsing the data below, compute for the most probable value, individual residual, probable error of any single measurement, and the relative precision of the mean. Look for: most probable value individual residual probable error of any single measurement relative precision of the meanarrow_forward
- Based on the data shown below, calculate the correlation coefficient (to three decimal places) x y 2 16.75 3 15.8 4 13.55 5 11.2 6 10.75 7 10.8arrow_forward8.4 Consider a population consisting of the following five values, which represent the number of DVD rentals during the academic year for each of five housemates: 8 14 16 10 11 a. Compute the mean of this population. b. Select a random sample of size 2 by writing the five numbers in this population on slips of paper, mixing them, and then selecting two. Compute the mean for your sample. c. Repeatedly select random samples of size 2, and compute the x value for each sample until you have the x values for 25 samples. d. Construct a density histogram using the 25 x values. Are most of the x values near the population mean? Do the x values differ a lot from sample to sample, or do they tend to be similar? (Hint: See Example 8.1.)arrow_forwardFlood discharges (m3/s) observed in a stream for 50 years are given below arranged in an increasing order. a. Plot the histogram, frequency histogram and cumulative frequency histogram by classifying the data into appropriate intervals. b. Find the mean, mode and media. Discuss whether the distribution is normal or not? c. Calculate the Csx and Kx. Discuss the shape of distribution 125 137 147 154 162 148 155 165 125 138 127 141 148 156 165 133 141 133 142 149 157 166 149 157 169 150 158 171 133 143 134 145 152 158 174 137 145 152 160 181 137 145 153 161 182 137 147 154 161 189arrow_forward
- Use the Poisson distribution to approximate the binomial probability b(1; 100, 0.02).arrow_forwardImagine that you and four of your classmates have measured the density of air and recorded the values shown in the accompanying table. Determine the average, variance, and standard deviation for the measured density of air. Density of Air (kg/m3) 1.27 1.21 1.28 1.25 1.24arrow_forwardMultiply or divide the following measurements. Answer should contain the correct number of significant digits. 7.808 mol/L x 3.25L= blank mol 20.9476 cm x 19. cm = blank cm to the second power 737.01 g / 76.16 mL = blank g/mLarrow_forward
- Engineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage Learning