smileycellist2

2021-02-25

Means $=59.47444,SDS=12.91711,Min=23.599,Max=82.603$
AND
Means $=67.00742,SDS=12.7302,Min=39.613,Max=82.603$
Means Based on your findings write a preliminary statistical report that comprises of the Methods, Results/Analysis and Conclusions sections. Include a comparison of the two distributions in (1) and (2) in terms of their central tendencies and variability. While your audience is one that lacks statistical expertise you are still expected to correctly interpret the data and statistical analyses, in a manner that is understandable to your audience. Be mindful to present an impartial report that distinguishes conclusive and inferential statements for the audience.

liannemdh

Skilled2021-02-26Added 106 answers

Mean:
Mean is an important measure of center when the data is quantitative. Mean of a data set is the sum of the data values divided by the size of the dataset.
Standard deviation:
The standard deviation is based on how much each observation deviates from a central point represented by the mean. In general, the greater the distances between the individual observations and the mean, the greater the variability of the data set.
Let us consider the two methods as method-1 and methods-2.
The descriptive statistics for the method-1 and method-2 are as given below:
${\stackrel{\u2015}{x}}_{1}=59.4744,{s}_{1}=12.9171,\underset{1}{min}=23.599\text{}\text{and}\text{}\underset{1}{max}=82.603$

${\stackrel{\u2015}{x}}_{2}=67.0074,{s}_{2}=12.9171,\underset{2}{min}=39.613\text{}\text{and}\text{}\underset{2}{max}=82.603$
Statistical report for the methods:
The average value of the data points in method-1 dataset is 59.4744 and the data points in method-1 dataset deviates from the mean by 12.9171. The highest value in the method-1 dataset is 82.603 and the lowest value is 23.599.
The average value of the data points in method-2 dataset is 67.00742 and the data points in method-2 dataset deviates from the mean by 12.7302. The highest value in the method-2 dataset is 82.603 and the lowest value is 39.613.
The range of the method-1 dataset is $82.603-23.599=59.004$ and the range of the method-2 dataset is $82.603-39.613=42.99$ .
Comparison:
The average of the data points is highest for the method-2 dataset than the average of the data points in method-2 dataset.
From the values of range and standard deviation, it can be concluded that the variability in method-1 dataset is higher than the variability in method-2 dataset.

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