Math  /  Data & Statistics

QuestionThe data below is a list of 120 values of Body Mass Index (BMI) data from the 1998 National Health Interview Survey on US adults. \begin{tabular}{llllllllll} 27.4 & 31.0 & 34.2 & 28.9 & 25.7 & 37.1 & 24.8 & 34.9 & 27.5 & 25.9 \\ 23.5 & 30.9 & 27.4 & 25.9 & 22.3 & 21.3 & 37.8 & 28.8 & 28.8 & 23.4 \\ 21.9 & 30.2 & 24.7 & 36.6 & 25.4 & 21.3 & 22.9 & 24.2 & 27.1 & 23.1 \\ 28.6 & 27.3 & 22.7 & 22.7 & 27.3 & 23.1 & 22.3 & 32.6 & 29.5 & 38.8 \\ 21.9 & 24.3 & 26.5 & 30.1 & 27.4 & 24.5 & 22.8 & 24.3 & 30.9 & 28.7 \\ 22.4 & 35.9 & 30.0 & 26.2 & 27.4 & 24.1 & 19.8 & 26.9 & 23.3 & 28.4 \\ 20.8 & 26.5 & 28.2 & 18.3 & 30.8 & 27.6 & 21.5 & 33.6 & 24.8 & 28.3 \\ 25.0 & 35.8 & 25.4 & 27.3 & 23.0 & 25.7 & 22.3 & 35.5 & 29.8 & 27.4 \\ 31.3 & 24.0 & 25.8 & 21.1 & 21.1 & 29.3 & 24.0 & 22.5 & 32.8 & 38.2 \\ 27.3 & 19.2 & 26.6 & 30.3 & 31.6 & 25.4 & 34.8 & 24.7 & 25.6 & 28.3 \\ 26.5 & 28.3 & 35.0 & 20.2 & 37.5 & 25.8 & 27.5 & 28.8 & 31.1 & 28.7 \\ 24.1 & 24.0 & 20.7 & 24.6 & 21.1 & 21.9 & 30.8 & 24.6 & 33.2 & 31.6 \end{tabular}
Perform the following using the data as provided:
1. An Ordered Array (Ascending order) of the data
2. Generate a grouped frequency distribution table with appropriate intervals
3. Draw a histogram for the distribution
4. Construct a Cumulative Relative Frequency table and use it to draw a i. cumulative frequency curve ii. cumulative frequency polygon iii. pie chart iv. cumulative relative frequency histogram
5. Compute the: i. Mean ii. Median iii. Variance iv. Standard deviation v. Coefficient of variation

Studdy Solution
Compute the coefficient of variation using the formula:
Coefficient of Variation=Standard DeviationMean×100%\text{Coefficient of Variation} = \frac{\text{Standard Deviation}}{\text{Mean}} \times 100\%
The solution involves detailed calculations and graphical representations, which are typically performed using statistical software or tools for accuracy and efficiency.

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