Measures of Position for Grouped Data
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Questions and Answers

What is the total frequency of the given data?

  • 50
  • 40
  • 55
  • 45 (correct)

    • In which class interval does the 3rd quartile belong?

  • 46–50
  • 31–35
  • 36–40 (correct)
  • 41–45

    • What should be the value of the less than cumulative frequency to be used if kth decile falls under class interval 36–40?

  • 40
  • 35 (correct)
  • 30
  • 25

    • What is the lower class boundary for the interval 31–35?

    <p>30.5</p> Signup and view all the answers

    What is the value of 𝐷4?

    <p>42</p> Signup and view all the answers

    What class interval should be used to get the 55th percentile?

    <p>41–45</p> Signup and view all the answers

    What is the formula to calculate the kth quartile for grouped data?

    <p>𝑘𝑁 4 𝑄𝑘 = 𝐿𝐵 + [ − 𝑐𝑓 𝑏 𝑓𝑄𝑘 ] ×𝑖</p> Signup and view all the answers

    What is the purpose of constructing the cumulative frequency column in solving the measures of position for grouped data?

    <p>To calculate the measures of position for grouped data</p> Signup and view all the answers

    What is the value of k in the formula for the 7th decile?

    <p>7</p> Signup and view all the answers

    What is the formula to calculate the kth percentile for grouped data?

    <p>𝑘𝑁 100 𝑃𝑘 = 𝐿𝐵 + [ − 𝑐𝑓 𝑏 𝑓𝑃𝑘 ] ×𝑖</p> Signup and view all the answers

    What is the value of k in the formula for the median?

    <p>1/2</p> Signup and view all the answers

    What is the first step in solving the measures of position for grouped data?

    <p>Construct the cumulative frequency column</p> Signup and view all the answers

    What is the class interval for Q1?

    <p>2000 - 2999</p> Signup and view all the answers

    What percentage of YouTubers in Marikina City have less than or equal to 2916 subscribers?

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

    What is the value of D7?

    <p>5749.5</p> Signup and view all the answers

    What is the purpose of finding the quartiles and deciles?

    <p>To understand the distribution of data</p> Signup and view all the answers

    How many YouTubers are there in the data?

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

    What is the formula to find the kth class?

    <p>k = kN / 4</p> Signup and view all the answers

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