Example Output For HW 1 Excel Portion 1 Find The Mean Median

Example Output For Hw 1 Excel Portion1 Find The Mean Median And S

Find the mean, median, and standard deviation of the ages of the top 50 most powerful women in U.S. business, as listed in the dataset "WPOWER50". Additionally, determine whether the data is skewed to the left, right, or symmetric, and construct a frequency histogram with class intervals of 5 years (25-30, 30-35, 35-40, etc.). Attachment of the Excel output is required, following the provided guide for presentation.

Paper For Above instruction

The analysis of demographic data such as age provides significant insights into the distribution and central tendencies within a population. In this case, the dataset comprises the ages of the fifty most powerful women in U.S. business, as published in Fortune magazine in October 2008. The primary objectives are to determine the measures of central tendency—mean and median—along with the variability indicated by the standard deviation. Furthermore, understanding the shape of the distribution through skewness assessment and visual representation via a frequency histogram will enrich the understanding of the dataset’s characteristics.

To achieve these objectives, the first step involves calculating the mean, median, and standard deviation using Excel functions. The mean provides the average age, while the median indicates the middle value, less affected by potential outliers. The standard deviation measures the dispersion within the age data, reflecting variability among these influential women. Using Excel’s built-in functions such as AVERAGE, MEDIAN, and STDEV.P or STDEV.S facilitates quick and precise calculation. The computed values will serve as the foundation for interpretive analysis.

Following the descriptive statistics, the skewness of the data will be examined. Skewness reveals the symmetry or asymmetry in the distribution of ages. A skewness approximately equal to zero suggests symmetry, whereas a positive skew indicates a tail extending towards higher ages (right skew), and a negative skew indicates a tail towards younger ages (left skew). In this dataset, the mean (around 8.5 in the original sample observations, which likely corresponds to the actual age plus offset) and median will be compared. Typically, if the mean exceeds the median, it suggests a right-skewed distribution, and vice versa. Calculating skewness directly in Excel via the SKEW function provides an objective measure of distribution shape.

To visually depict the distribution, a frequency histogram will be created. The age data will be grouped into class intervals of five years: (25-30), (30-35), (35-40), and so forth up to (60-65). Frequencies within each interval will then be tallied and visualized as a histogram. This process involves using Excel’s Histogram tool, or manually creating a frequency table and bar chart, which illustrates the distribution pattern of ages among these powerful women.

Results from the analysis will help interpret whether this group’s age distribution is centered around a certain age, whether it skews towards younger or older ages, and how spread out they are. For instance, if the histogram shows a bell-shaped distribution centered around 50-55 years, with minimal skewness, we can conclude that the ages are approximately symmetrically distributed around this central value.

In summary, the Excel tools and functions enable efficient computation and visualization necessary for descriptive statistical analysis. By interpreting these results, one can draw robust conclusions about the demographic profile—specifically age—of these influential female leaders in business, providing insights into the typical age range and the shape of their age distribution.

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