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Descriptive Statistics Calculator

Updated on 2 min read
Instructions:
  • Enter your data (comma-separated).
  • Click "Calculate" to see descriptive statistics.
  • Click "Clear" to reset the input and results.
  • Click "Copy Results" to copy the results to the clipboard.
Calculation History:

    Median: ${median}

    Mode: ${mode.join(', ')}

    Standard Deviation: ${stdDeviation.toFixed(2)}

    Variance: ${variance.toFixed(2)}

    Mid Range: ${midRange}

    1st Quartile (Q1): ${q1}

    3rd Quartile (Q3): ${q3}

    Interquartile Range (IQR): ${iqr}

    Outliers: ${outliers.join(', ')}

    Sum of Squares: ${sumOfSquares.toFixed(2)}

    Mean Absolute Deviation (MAD): ${mad.toFixed(2)}

    Root Mean Square (RMS): ${rms.toFixed(2)}

    Standard Error of the Mean (SEM): ${sem.toFixed(2)}

    Skewness: ${skewness.toFixed(2)}

    Kurtosis: ${kurtosis.toFixed(2)}

    Kurtosis Excess: ${kurtosisExcess.toFixed(2)}

    Coefficient of Variation (CV): ${cv.toFixed(2)}%

    Relative Standard Deviation (RSD): ${rsd.toFixed(2)}%

    `; document.getElementById('results').innerHTML = results;// Display calculation details const calculationDetails = ` Calculation Details:

    Formulas used:

    • Range = Maximum - Minimum
    • Mean = Sum / Size
    • Median (if even size) = (Middle1 + Middle2) / 2
    • Median (if odd size) = Middle
    • Mode = Most frequent value(s)
    • Variance = Sum of squared differences from Mean / (Size - 1)
    • Standard Deviation = Square root of Variance
    • Interquartile Range (IQR) = Q3 - Q1
    • Outliers = Values below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR
    • Sum of Squares = Sum of squared differences from Mean
    • Mean Absolute Deviation (MAD) = Mean of absolute differences from Mean
    • Root Mean Square (RMS) = Square root of Sum of Squares / Size
    • Standard Error of the Mean (SEM) = Standard Deviation / Square root of Size
    • Skewness = (3 * (Mean - Median)) / Standard Deviation
    • Kurtosis = Sum of (Squared differences from Mean / Variance)^2 / Size
    • Kurtosis Excess = Kurtosis - 3
    • Coefficient of Variation (CV) = (Standard Deviation / Mean) * 100
    • Relative Standard Deviation (RSD) = (Standard Deviation / Mean) * 100
    `; document.getElementById('calculationDetails').innerHTML = calculationDetails;// Store calculation in history const calculationResult = { results: results, calculationDetails: calculationDetails }; addToHistory(calculationResult); });document.getElementById('clearButton').addEventListener('click', function() { // Clear input, results, calculation details, and history document.getElementById('dataInput').value = ''; document.getElementById('results').innerHTML = ''; document.getElementById('calculationDetails').innerHTML = ''; });document.getElementById('copyButton').addEventListener('click', function() { // Copy results and calculation details to the clipboard const resultsText = document.getElementById('results').innerText; const calculationDetailsText = document.getElementById('calculationDetails').innerText; const textArea = document.createElement('textarea'); textArea.value = resultsText + '\n' + calculationDetailsText; document.body.appendChild(textArea); textArea.select(); document.execCommand('copy'); document.body.removeChild(textArea); alert('Results and Calculation Details copied to clipboard!'); });// History functions function addToHistory(calculationResult) { const historyItem = document.createElement('li'); historyItem.innerHTML = calculationResult.results; historyList.appendChild(historyItem); }function clearHistory() { historyList.innerHTML = ''; }

    A descriptive statistics calculator is a tool that helps you calculate the descriptive statistics of a data set. Descriptive statistics are used to summarize and describe the main features of a data set. In this article, we will discuss the concepts, formulae, benefits, and interesting facts about descriptive statistics calculators.

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    Concepts

    Descriptive statistics are used to summarize and describe the main features of a data set. The main features of a data set include the measures of central tendency, such as the mean, median, and mode, and the measures of variability, such as the range, variance, and standard deviation.

    Formulae

    The formulae for calculating the measures of central tendency and variability depend on the method used. There are several methods of calculating these measures, including the mean, median, mode, range, variance, and standard deviation. The formulae for each method are different, but they all take into account the values in the data set.

    Benefits

    Descriptive statistics calculators offer several benefits, including:

    • Convenience: Descriptive statistics calculators can save you time and effort by performing complex calculations quickly and accurately.
    • Accuracy: Descriptive statistics calculators are very accurate, as they use sophisticated mathematical algorithms to perform their calculations.
    • Versatility: Descriptive statistics calculators can be used to calculate the descriptive statistics of a wide range of data sets, including those with large or small sample sizes.
    • Educational: Descriptive statistics calculators can be used as an educational tool to teach students about the concept of descriptive statistics and how they are calculated.

    Interesting Facts

    • Descriptive statistics are used to summarize and describe the main features of a data set.
    • The mean, median, and mode are measures of central tendency, while the range, variance, and standard deviation are measures of variability.
    • The mean is the most commonly used measure of central tendency, while the standard deviation is the most commonly used measure of variability.
    • Descriptive statistics are used in a wide range of fields, including business, finance, and science.
    • Descriptive statistics can be used to identify outliers in a data set.
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    Emma Smith

    Emma Smith holds an MA degree in English from Irvine Valley College. She has been a Journalist since 2002, writing articles on the English language, Sports, and Law. Read more about me on her bio page.