Math 221 Statistics For Decision Making Week 2 I Lab Name

4math 221 Statistics For Decision MakingWeek 2 Ilabname

Perform the following tasks based on the provided data set regarding student survey responses. The assignment involves creating graphical representations of data, calculating descriptive statistics, and interpreting the results. Specifically, you will generate a pie chart for Car Color, a histogram for Height, and a stem-and-leaf plot for Money. Additionally, you will compute mean and standard deviation for Height by gender, and interpret these statistics using the empirical rule. Answer reflective questions in complete sentences, explaining your reasoning clearly and thoroughly. Maintain all responses within this document, including pasted graphs and written answers, and submit the final file named as instructed.

Paper For Above instruction

The task begins with visual analysis of student data collected through a survey. The data set includes variables such as Car Color, Height, Money, Gender, and more, stored in an Excel worksheet with variable names in the first row. The first step is to produce a pie chart illustrating the distribution of Car Colors among students. Using Excel’s chart tools, select the Car Color data, convert the chart to a pie chart, add data labels with callouts, and assign an apt title. This visualization will reveal the most common car color among participants.

Next, a histogram representing students’ heights will be constructed. First, sort the height data to facilitate class interval creation. Determine an appropriate class width by subtracting the minimum height from the maximum height and dividing by five, then round up to a convenient number. Define the five classes accordingly and count the frequency of height observations within each. Using these frequencies, create a bar chart in Excel, ensuring no gaps between bars by setting Gap Width to 0%. The histogram’s shape will provide insight into the height distribution—whether it is symmetric, skewed, or exhibits other characteristics.

The third graphical task involves creating a stem-and-leaf plot for the Money variable. Sort the data by amount, then use the tens digit as the stem and the units digit as the leaves. Each line displays a stem followed by its leaves, separated by a space, demonstrating the distribution’s shape and data clustering visually.

For the statistical calculations, generate a pivot table to find the mean and standard deviation of Height separately for males and females. Using the Pivot Table function in Excel, include all relevant data, then set Gender as a row label and Height as a value, calculating the mean and standard deviation for each group. These metrics will allow comparisons between genders, highlighting differences in average height and variability.

Following this, interpret the data through written responses. Identify the most common car color based on the pie chart, explaining the process used to determine this, such as reading the highest frequency slice. Describe the shape of the histogram for students’ heights, noting if it is bell-shaped, skewed left or right, or uniform, and justify your conclusion based on the visual pattern. Similarly, analyze the stem-and-leaf plot for Money, commenting on the shape—e.g., concentrated around certain ranges or dispersed—supported by the data pattern observed.

Further, compare the average heights between males and females and discuss implications. Examine the standard deviations for both groups, indicating variability levels and what they imply about height consistency within each gender. Use the empirical rule to specify the interval where approximately 95% of female heights lie, calculating or explaining based on the mean and standard deviation. Repeat the process for male heights, identifying the span covering roughly 68% of the data within one standard deviation of the mean.

This comprehensive analysis enhances understanding of data distribution, variability, and central tendency among students, enabling better interpretation of survey results through graphical and statistical tools. The final submission will include all created graphs, detailed explanations, and calculations in a single Word document formatted as specified.

References

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