Activity 3.5 Applied Statistics
Activity
3.5 Applied Statistics
Procedure
1.
Part of the manufacturing quality control
testing for a toy is to measure the depth of a connector piece that must fit
into another part. The designed depth is 4.1 cm. Every tenth part produced on the production
line is measured. The following data was collected during a two minute
production period.
3.8, 3.9, 3.9, 4.0, 4.0, 4.0, 4.1,
4.1, 4.1, 4.2 ,4.3, 4.4,
a. Calculate
each of the following measures of central tendency. Show your work.
Mean:
_______4.1______
Median:
___4.05_________
Mode: ____4.0 & 4.1________
b. Calculate
each of the following measures of variation for the data set. Show your work. A
table has been provided to help you calculate the standard deviations. In the
table round values in the last two columns to four decimal places. Report the
standard deviation statistics to four decimal places.
·
Range:
______0.6___
| x | x - µ | (x - µ)2 |
| 3.8 | -0.3 | 0.09 |
| 3.9 | -0.2 | 0.04 |
| 3.9 | -0.2 | 0.04 |
| 4.0 | -0.1 | 0.01 |
| 4.0 | -0.1 | 0.01 |
| 4.0 | -0.1 | 0.01 |
| 4.1 | 0.0 | 0.00 |
| 4.1 | 0.0 | 0.00 |
| 4.1 | 0.0 | 0.00 |
| 4.2 | 0.1 | 0.01 |
| 4.3 | 0.2 | 0.04 |
| 4.4 | 0.3 | 0.09 |
| SUM | 0.34 |
·
Standard Deviation of this data: ________0.1683____
c. Create
a histogram for the data using the grid below. The horizontal axis should
display each length measurement from the minimum to maximum recorded lengths.
You may choose to begin with a dot plot and then fill in the bars. Be sure to
label your axes.
Numbers
a. What
class interval is appropriate for the measurement values reported as 4.1
cm?
4.0 to 4.2
2. Gather
measurement data taken by your teammates on Activity 3.3 Making Linear Measurements
for the largest outside diameter of the wheel. You should collect at least 5
measurements. In your engineering notebook, list each measurement value
recorded by your team (including yours) and show calculations for the mean,
median, mode, range and standard deviation. Remember the rules for rounding in
statistics. Show your work.
Conclusion
1. How
can statistics of a product’s dimensions be used to assess the quality of the
product?
Statistics of a product's dimensions could be used to access that the products being produced are manufactured at standard dimensions. If the dimensions are too off, something is wrong with the manufacturing process.
2.
In which phase(s) of a design process might
statistics be most useful? Why?
Statistics will be most useful when testing the solution. Therefore the engineers or designers can get feedback on the capability of their solution.
Statistics will be most useful when testing the solution. Therefore the engineers or designers can get feedback on the capability of their solution.
Witnessed
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