For the sample mean from n=10 days averaged together, construct a Histogram of the averages. Draw a smooth curve through the tops of the bars of the histogram above. 1. Now, randomly select 4 samples of sizen= 10 from the population. Record the samples below. As before, for eachsample, calculate the mean to the nearest tenth. Record them in the spaces provided. The sample means for the rest ofthe class (from last quarter) are below.Sample 1Sample 2Sample 3Sample 42.31441.23.4425316.141111316.63Means:x =3.3x = 3.2x =3.8x = 2.6Sample means from other groups (from last quarter):3.23.73.63.83.53.43.53.73.53.73.43.23.43.53.43.43.93.63.53.53.53.53.33.83.13.63.73.23.53.52. Using your means and the means from other groups (ie, you should again have 34 data values), calculate thefollowing for n=10:a. ux = 3.4706b. sx = 0.245633351333 Repeat the Procedure for n 103. For the sample of means from n = 10 days averaged together, construct a histogram of the averages. Makeintervals with bar widths = 1/2 day (I suggest same as for n=5, .5 to 1, 1 to 1.5, etc). Sketch the graph using a ruler andpencil. Scale the axes.Draw a smooth curve through the tops of the bars of the histogram above. Use 1-2 complete sentences todescribe the general shape of the curve.

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For the sample mean from n=10 days averaged together, construct a Histogram of the averages. Draw a smooth curve through the tops of the bars of the histogram above.

1. Now, randomly select 4 samples of sizen= 10 from the population. Record the samples below. As before, for each
sample, calculate the mean to the nearest tenth. Record them in the spaces provided. The sample means for the rest of
the class (from last quarter) are below.
Sample 1
Sample 2
Sample 3
Sample 4
2.
3
1
4
4
1.
2
3.
4
4
2
5
3
1
6.
1
4
1
11
1
3
1
6.
6
3
Means:
x =3.3
x = 3.2
x =3.8
x = 2.6
Sample means from other groups (from last quarter):
3.2
3.7
3.6
3.8
3.5
3.4
3.5
3.7
3.5
3.7
3.4
3.2
3.4
3.5
3.4
3.4
3.9
3.6
3.5
3.5
3.5
3.5
3.3
3.8
3.1
3.6
3.7
3.2
3.5
3.5
2. Using your means and the means from other groups (ie, you should again have 34 data values), calculate the
following for n=10:
a. ux = 3.4706
b. sx = 0.2456
3335
1333

Repeat the Procedure for n 10
3. For the sample of means from n = 10 days averaged together, construct a histogram of the averages. Make
intervals with bar widths = 1/2 day (I suggest same as for n=5, .5 to 1, 1 to 1.5, etc). Sketch the graph using a ruler and
pencil. Scale the axes.
Draw a smooth curve through the tops of the bars of the histogram above. Use 1-2 complete sentences to
describe the general shape of the curve.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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