This paper circulates around the core theme of Compute the arithmetic mean and median. Compute the first quartile and third quartile. Compute the range, interquartile range, variance, standard deviation, and coefficient of variation. Interpret the measures of central tendency within the context of thi together with its essential aspects. It has been reviewed and purchased by the majority of students thus, this paper is rated 4.8 out of 5 points by the students. In addition to this, the price of this paper commences from £ 99. To get this paper written from the scratch, order this assignment now. 100% confidential, 100% plagiarism-free.
An essential property of concern for any food company that uses a
high-speed bottle-filling machine to package their product is the weight
of the food product in the individual bottles. If the bottles are under
filled, two problems arise. First, customers may not have enough
product for their needs. Second, the company may be in violation of the
truth-in-labeling laws. In this example, the label weight on the package
indicates that, on average, there are 2.5 ounces of product in a
bottle. If the average amount of product in a bottle exceeds the label
weight, the company is giving away product. Getting an exact amount of
product in a bottle is problematic because of variation in the
temperature and humidity inside the factory, differences in the density
of the product, and the extremely fast filling operation of the machine
(approximately 450 bottles per minute). The following table provides the
weight in ounces of a sample of 60 bottles produced in one hour by a
single machine:
|
3.01
|
3.06
|
2.45
|
2.06
|
2.02
|
2.59
|
2.78
|
3.08
|
3.08
|
3.04
|
|
2.06
|
2.47
|
2.96
|
2.41
|
2.48
|
2.29
|
2.71
|
3.09
|
1.98
|
3.05
|
|
2.91
|
2.2
|
1.88
|
2.8
|
2.42
|
2.41
|
1.98
|
2.29
|
2.59
|
2.52
|
|
3.0
|
1.98
|
1.79
|
1.99
|
1.38
|
3.06
|
2.89
|
3.04
|
3.27
|
2.52
|
|
3.24
|
3.03
|
1.89
|
2.39
|
1.43
|
2.32
|
2.09
|
2.89
|
1.81
|
3.08
|
|
3.01
|
3.11
|
1.59
|
1.81
|
3.02
|
2.99
|
3.01
|
1.81
|
3.01
|
2.33
|
- Compute the arithmetic mean and median.
- Compute the first quartile and third quartile.
- Compute the range, interquartile range, variance, standard deviation, and coefficient of variation.
- Interpret the measures of central tendency within the context of
this problem. Why should the company producing the bottles be concerned
about the central tendency?
- Interpret the measures of variation within the context of this
problem. Why should the company producing the bottles be concerned about
variation?
