When researching ground water it is often important to know the characteristics of the soil at a certain site. Many of these characteristics, such as porosity, are at least partially dependent upon the grain size. The diameter of individual grains of soil can be measured. Here are the diameters (in mm) of 30 grains: 1.24 1.36 1.28 1.31 1.35 1.20 1.39 1.35 1.41 1.31 1.28 1.26 1.37 1.49 1.32 1.40 1.33 1.28 1.25 1.39 1.38 1.34 1.40 1.27 1.33 1.36 1.43 1.33 1.29 1.34 (a) Calculate the sample mean and the sample variance for these data.

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When researching ground water it is often important to know the characteristics of
the soil at a certain site. Many of these characteristics, such as porosity, are at least
partially dependent upon the grain size. The diameter of individual grains of soil can
be measured. Here are the diameters (in mm) of 30 grains:
1.24 1.36 1.28 1.31 1.35 1.20 1.39 1.35 1.41 1.31
1.28 1.26 1.37 1.49 1.32 1.40 1.33 1.28 1.25 1.39
1.38 1.34 1.40 1.27 1.33
1.36 1.43 1.33 1.29 1.34
(a) Calculate the sample mean and the sample variance for these data.
(b) Construct a histogram of these data.
Transcribed Image Text:When researching ground water it is often important to know the characteristics of the soil at a certain site. Many of these characteristics, such as porosity, are at least partially dependent upon the grain size. The diameter of individual grains of soil can be measured. Here are the diameters (in mm) of 30 grains: 1.24 1.36 1.28 1.31 1.35 1.20 1.39 1.35 1.41 1.31 1.28 1.26 1.37 1.49 1.32 1.40 1.33 1.28 1.25 1.39 1.38 1.34 1.40 1.27 1.33 1.36 1.43 1.33 1.29 1.34 (a) Calculate the sample mean and the sample variance for these data. (b) Construct a histogram of these data.
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