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Identifying Outliers in Statistics
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Identifying Outliers in Statistics

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Questions and Answers

What is the primary purpose of fixing the boundary in handling outliers?

  • To detect the median of the data
  • To divide the data into 4 equal parts
  • To calculate the interquartile range
  • To report all extreme values as outliers (correct)
  • Which measure of position is used to detect outliers?

  • Decile
  • Mean
  • Mode
  • Percentile (correct)
  • What does Q2 represent in the calculation of quartiles?

  • 50% of students are below the value of Q2 (correct)
  • 25% of students are below the value of Q2
  • 75% of students are below the value of Q2
  • 100% of students are below the value of Q2
  • What is the formula to calculate the Inter Quartile Range (IQR)?

    <p>Q3 - Q1</p> Signup and view all the answers

    What is the criteria to detect outliers in a frequency table?

    <p>If any value is less than Q1-1.5<em>IQR or more than Q3 +1.5</em>IQR</p> Signup and view all the answers

    What is the purpose of Step-4 in handling outliers?

    <p>To report outliers visually via box plot</p> Signup and view all the answers

    How can you create a new variable 'total' in a DataFrame 'df' using Python?

    <p>Df[“total”]=df[“read”] + df[‘write’]</p> Signup and view all the answers

    What is the purpose of dividing the data into four equal parts in the calculation of quartiles?

    <p>To find the quartiles (Q1, Q2, and Q3) that help in detecting outliers.</p> Signup and view all the answers

    How do you calculate the first quartile (Q1) in a dataset?

    <p>Q1 is the value below which 25% of the data points fall.</p> Signup and view all the answers

    What is the role of the Inter Quartile Range (IQR) in detecting outliers?

    <p>The IQR is used to set the boundaries for detecting outliers, specifically 1.5*IQR below Q1 and above Q3.</p> Signup and view all the answers

    How do you determine if a value is an outlier using the first criterion?

    <p>If the value is less than Q1-1.5*IQR, it is considered an outlier.</p> Signup and view all the answers

    What is the purpose of creating a box plot in handling outliers?

    <p>To visually represent the outliers and the distribution of the data.</p> Signup and view all the answers

    How do you find the number of outliers in a dataset?

    <p>By counting the number of values that meet the criteria for outliers (either below Q1-1.5<em>IQR or above Q3+1.5</em>IQR).</p> Signup and view all the answers

    Why is it important to detect and report outliers in a dataset?

    <p>To identify unusual or abnormal values that may affect the analysis or results.</p> Signup and view all the answers

    Study Notes

    Handling Outliers

    • Extreme values are reported as outliers, and the boundary for detection needs to be fixed.

    Steps to Detect Outliers

    • Measure of position to be used for detection of outliers includes decile, percentile, and quartile.

    Quartile

    • Division of data into 4 equal parts.
    • Q1: 25% of students are below the value of Q1.
    • Q2 (Median): 50% of students are below the value of Q2.
    • Q3: 75% of students are below the value of Q3.

    Calculation of Inter Quartile Range (IQR)

    • IQR = Q3 - Q1.

    Criteria for Outliers

    • Criteria 1: Values less than Q1 - 1.5*IQR are treated as outliers.
    • Criteria 2: Values more than Q3 + 1.5*IQR are treated as outliers.

    Steps to Find and Report Outliers

    • Calculate the number of outliers from both criteria.
    • Report the total number of outliers detected for each variable in the data set.

    Reporting Outliers Visually via Box Plot

    • Use Python library to create a new variable, such as Df["total"] = df["read"] + df['write'].

    Handling Outliers

    • Extreme values are reported as outliers, and the boundary for detection needs to be fixed.

    Steps to Detect Outliers

    • Measure of position to be used for detection of outliers includes decile, percentile, and quartile.

    Quartile

    • Division of data into 4 equal parts.
    • Q1: 25% of students are below the value of Q1.
    • Q2 (Median): 50% of students are below the value of Q2.
    • Q3: 75% of students are below the value of Q3.

    Calculation of Inter Quartile Range (IQR)

    • IQR = Q3 - Q1.

    Criteria for Outliers

    • Criteria 1: Values less than Q1 - 1.5*IQR are treated as outliers.
    • Criteria 2: Values more than Q3 + 1.5*IQR are treated as outliers.

    Steps to Find and Report Outliers

    • Calculate the number of outliers from both criteria.
    • Report the total number of outliers detected for each variable in the data set.

    Reporting Outliers Visually via Box Plot

    • Use Python library to create a new variable, such as Df["total"] = df["read"] + df['write'].

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    Quiz Team

    Description

    Learn how to detect outliers in a dataset using deciles, percentiles, and quartiles. Understand the calculation of Q1, Q2, and Q3, and how to find the Interquartile Range (IQR).

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