Gr 11 Math Ch 11: Ogives
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Questions and Answers

What is the formula to calculate the cumulative frequency up to the i-th interval?

  • CF_i = ∑(j=1)^i f_j (correct)
  • CF_i = ∑(i=1)^j f_j
  • CF_i = ∑(j=1)^i f_j^2
  • CF_i = ∑(j=1)^i (f_j - 1)

    • What are the points used to plot an ogive?

  • (x_0, CF_1), (x_1, CF_2), (x_2, CF_3), …, (x_i, CF_i)
  • (x_0, 1), (x_1, CF_1), (x_2, CF_2), …, (x_i, CF_i)
  • (x_0, 0), (x_1, CF_1), (x_2, CF_2), …, (x_i, CF_i) (correct)
  • (x_0, CF_0), (x_1, CF_1), (x_2, CF_2), …, (x_i, CF_i)

    • What is the first step in constructing an ogive?

  • Create a cumulative frequency table from the frequency table. (correct)
  • Plot points using the upper limits of intervals and their corresponding cumulative frequencies.
  • Identify the median of the data set.
  • Connect the points with straight lines.

    • What percentile is the median equivalent to?

    <p>50th percentile</p> Signup and view all the answers

    What is the formula to calculate the k-th percentile?

    <p>P_k = (k/100) × N</p> Signup and view all the answers

    What is the purpose of an ogive?

    <p>To find the median, quartiles, and percentiles of a data set.</p> Signup and view all the answers

    What is the cumulative frequency of the 3rd interval, given the frequencies of the first three intervals are 5, 8, and 12?

    <p>25</p> Signup and view all the answers

    In an ogive, what is the y-axis typically represented by?

    <p>Cumulative frequency of each interval</p> Signup and view all the answers

    What is the purpose of finding the median using an ogive?

    <p>To identify the middle value of the data</p> Signup and view all the answers

    How do you find the third quartile (Q3) using an ogive?

    <p>Locate the 75th percentile on the cumulative frequency axis</p> Signup and view all the answers

    What is the interpretation of the 75th percentile?

    <p>75% of the data points are below this value</p> Signup and view all the answers

    What is the advantage of using an ogive over a frequency table?

    <p>It provides a visual representation of the cumulative frequency</p> Signup and view all the answers

    A dataset has 30 observations. What is the cumulative frequency at the 60th percentile?

    <p>20</p> Signup and view all the answers

    An ogive is used to find the median of a dataset. If the median is 25, what is the corresponding cumulative frequency?

    <p>20</p> Signup and view all the answers

    A frequency distribution has a total of 50 observations. What is the cumulative frequency at the 30th percentile?

    <p>15</p> Signup and view all the answers

    An ogive is used to find the first quartile of a dataset. If the first quartile is 10, what is the corresponding cumulative frequency?

    <p>7.5</p> Signup and view all the answers

    A dataset has 40 observations. What is the cumulative frequency at the 20th percentile?

    <p>8</p> Signup and view all the answers

    An ogive is used to find the third quartile of a dataset. If the third quartile is 30, what is the corresponding cumulative frequency?

    <p>25</p> Signup and view all the answers

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