Statistics Quiz for Class IX Mathematics
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Questions and Answers

Why is it necessary to understand the concept of varying widths in histograms when representing grouped data?

Understanding the concept of varying widths in histograms is necessary because it allows for accurate representation of the frequency distribution for grouped data. Varying widths account for intervals of different sizes, ensuring that the visual representation accurately reflects the distribution of the data.

What is the formula for calculating the mean of grouped data?

  • $\frac{1}{N}\sum_{i=1}^{n}f_ix_i$
  • $\frac{\sum_{i=1}^{n}f_ix_i}{n}$
  • $\frac{1}{n}\sum_{i=1}^{n}f_ix_i$
  • $\frac{\sum_{i=1}^{n}f_ix_i}{N}$ (correct)

    • In a grouped frequency distribution, what does $x_i$ represent in the formula for mean?

  • The lower class boundary
  • The mid-point of the class interval (correct)
  • The frequency of the class interval
  • The upper class boundary

    • What is the purpose of drawing a cumulative frequency curve (ogive) in statistics?

    <p>To find the median of grouped data</p> Signup and view all the answers

    Which measure of central tendency is most affected by extreme values or outliers in grouped data?

    <p>Mean</p> Signup and view all the answers

    When representing grouped data using histograms, why is it important to consider varying widths of the bars?

    <p>To accurately depict the frequency distribution</p> Signup and view all the answers

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