Deliverable 01 Worksheet
Introduce your scenario and data set.
Provide a brief overview of the scenario you are given and describe the data set.
Describe how you will be analyzing the data set.
Classify the variables in your data set.
Which variables are quantitative/qualitative?
If it is a quantitative variable, is it discrete or continuous?
Describe the level of measurement for each variable included in the data set (nominal, ordinal, interval, ratio).
Enter your step-by-step answer and explanations here.
The data set contains the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year.
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The data set can be analyzed using the measures of center and measures of variation.
The job title is qualitative variable. The level of measurement is nominal because there is no natural order assigned to the job categories.
The salary is quantitative variable. Salary is discrete because it represents individual values. The level of measurement is interval.
Answer and Explanation:
Discuss the importance of the Measures of Center.
Name and describe each measure of center.
Discuss the advantages and/or disadvantages of each.
Answer and Explanation:
Enter your step-by-step answer and explanations here.
The measures of center are values that are found in the center of data sets that represents the summary of the data sets.
They include mean, median, mode, and midrange.
The mean is generally the most important of all numerical measurements used to describe data, and it is mostly referred to as average.
The advantages of mean are that the sample means drawn from the same population tend to vary less than other measures of center, and the mean of a data set uses every data value. The disadvantage is that it is not resistant. Extreme value (outlier) can change the value of the mean.
The median is the middle value where about half of the values in the data set are less than the median and half are greater than the median.
The advantage of median is that it is resistant. Extreme value (outlier) cannot change the value of the median. The disadvantage is that the median of a data set does not use every data value.
The mode of a data set is the value(s) that occur(s) with the greatest frequency. The mode can be found in qualitative and quantitative data, and a data set can have one mode, more than one mode, or no mode.
The midrange of a data set is the value that is midway between the maximum and minimum values in the original data set. The midrange is not resistant because it uses only the maximum and minimum values. It is thus affected by outliers because it depends only on the maximum and minimum values in its calculation.
Discuss the importance of the Measures of Variation.
Name and describe each measure of variation.
Discuss the advantages and/or disadvantages of each.
Answer and Explanation:
Enter your step-by-step answer and explanations here.
Measures of variation describe how data is spread out in the data set. They include range, interquartile range and standard deviation.
The range is the spread of data. It’s the difference between the smallest and the largest data items in the set. The advantage is that it is easy to compute. The disadvantage is that it is affected by only two extreme scores, and it’s sensitive to total condition of distribution.
Interquartile range is a measure of how data is spread around the mean. Its advantage is that it is good when the distribution is skewed, and it is less sensitive in the presence of few extreme scores. The disadvantage is that it has a low sampling stability compared to standard deviation.
Standard deviation is a measure of the amount of variation or dispersion of a set of values in a data set. The advantage is that it is resistant to sampling variation. The disadvantage is that it is responsive to exact position of each value in the distribution, and it is more sensitive to the presence of few extreme values in the distribution.
Calculate the measures of center and measures of variation from the data set and list them below. Be sure to include (a) an interpretation of each measure in context of the scenario (for example, if the median is larger than the mean, what does it mean? What does the value of standard deviation tell you?) and (b) correct units of measurement. Show your calculations in your spreadsheet. You do not need to include Excel functions in your written answer below.
Mean
Median
Mode
Midrange
Range
Variance
Standard deviation
Answer and Explanation:
Enter your step-by-step answer and explanations here.
Mean is the average salary of the selected salaries. On average the, the salary earned by the employees in Minnesota is 71879.
Median is the middle value of the ordered data.
Since the median is less than the mean, this implies that the salary distribution is positively skewed.
Mode is the value that occurs most often in the data. The mode of salary data is more than one. These are 35750, 64880, 65290, 71420 and 72850.
Midrange is the arithmetic mean of the maximum and minimum salaries in the data set.
The variance is high. This indicates that salaries are very spread out from the mean, and from one another.
The standard deviation measures how far each salary vary from the mean.
