Statistics Calculator

Steps for Calculation

1. Input Dataset:
   • Enter a dataset as comma-separated values (e.g., 1, 2, 3, 4, 5).
2. Calculate Statistics:
   • Click the Calculate Statistics button to compute the mean, median, mode, variance, and standard deviation.
3. View Result:
   • The calculated statistics will be displayed below the button.

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Detailed Description

• Mean:
  • The average of all numbers in the dataset.
  • Formula: Mean=∑i=1nxinMean=n∑i=1n​xi​​.
• Median:
  • The middle value of the dataset when sorted. If the dataset has an even number of values, the median is the average of the two middle values.
  • Example: For 1, 2, 3, 4, 5, the median is 3.
• Mode:
  • The value(s) that appear most frequently in the dataset. If no value repeats, the dataset has no mode.
  • Example: For 1, 2, 2, 3, 4, the mode is 2.
• Variance:
  • A measure of how spread out the numbers are from the mean.
  • Formula: Variance=∑i=1n(xi−Mean)2nVariance=n∑i=1n​(xi​−Mean)2​.
• Standard Deviation:
  • The square root of the variance, representing the spread of the dataset.
  • Formula: Standard Deviation=VarianceStandard Deviation=Variance​.

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Example Calculation

For the dataset 1, 2, 2, 3, 4, 5:

• Mean: (1+2+2+3+4+5)/6=2.83(1+2+2+3+4+5)/6=2.83
• Median: (2+3)/2=2.5(2+3)/2=2.5
• Mode: 2
• Variance: (1−2.83)2+(2−2.83)2+(2−2.83)2+(3−2.83)2+(4−2.83)2+(5−2.83)26=1.816(1−2.83)2+(2−2.83)2+(2−2.83)2+(3−2.83)2+(4−2.83)2+(5−2.83)2​=1.81
• Standard Deviation: 1.81=1.351.81​=1.35