Statistics Advantage and Disadvantages that you must know.

Advantages and Disadvantages of Data Representation Methods

Stem-and-Leaf Diagram

Advantages

- Preserves original data.  

- Shows distribution shape, including skewness.  

- Mode, median, and quartiles can be found.  

- Useful for comparing two datasets.  

Disadvantages

- Not suitable for large datasets.  

Box-and-Whisker Plot

Advantages

- Easy to interpret and compare data.  

- Shows symmetry and skewness.  

- Identifies outliers.  

- Displays range and interquartile range.  

- Allows comparison of multiple datasets.  

Disadvantages

- Does not show frequencies.  

- Only highlights specific data points.  

Histogram

Advantages

- Represents groups of varying widths.  

- Shows symmetry and skewness.  

- Estimates mean and standard deviation.  

Disadvantages

- Visual impact changes with different scales.  

Cumulative Frequency Graph

Advantages

- Estimates median and quartiles.  

- Allows comparison of datasets on the same graph.  

Disadvantages

- Visual impact changes with different scales.  

Measures of Central Tendency

Mean

Advantages

- Uses all data, representing every item.  

- Can be calculated using a formula, making it programmable.  

- Useful for further analysis.  

Disadvantages

- Can be affected by extreme values.  

Mode

Advantages

- Useful for identifying the most common category, like clothing or shoe sizes.  

Disadvantages

- Not reliable for small datasets or when multiple modes exist.  

- Some datasets may have no mode.  

- May not be representative (e.g., could be the lowest value).  

- Depends on data grouping.  

- Not useful for further analysis.  

Median

Advantages

- Not affected by extreme values.  

- Can be found once the middle value is known.  

Disadvantages

- Does not use the entire dataset.  

- Not useful for further analysis.  

Measures of Variation

Range

Advantages

- Easy to calculate.  

- Represents full data spread.  

Disadvantages

- Affected by extreme values.  

Interquartile Range

Advantages

- Not influenced by extreme values.  

- Helps investigate outliers.  

Disadvantages

- Depends only on ranked values.  

Standard Deviation

Advantages

- Uses all data, representing every item.  

- Can be calculated using a formula, making it programmable.  

- Useful for further analysis and comparing datasets.  

- Shows consistency between datasets.  

Disadvantages

- Can be affected by extreme values.  

- Hard to interpret for a single dataset.