Grade 10 Math: Quartile, Decile, Percentile of Grouped Data
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Questions and Answers

What is the term used to describe each score point when a distribution is divided into 100 equal parts?

  • quartile
  • decile
  • median
  • percentile (correct)

    • What is the first step in computing the measure of position for grouped data?

  • Determine the values of each of the variables in the formula
  • Determine the kth class
  • Substitute the values to the formula and solve
  • Construct the cumulative frequency column (correct)

    • What is the formula to find the kth class for decile?

  • kN/4
  • kN/10 (correct)
  • kN/100
  • kN/2

    • If a student's score is at the 70th percentile, what can be inferred about their score?

    <p>They scored above 70% of their classmates</p> Signup and view all the answers

    How many students took the 50-item test?

    <p>20 + 3 + 6 + 7</p> Signup and view all the answers

    What is the measure of position that divides the data into four equal parts?

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

    What is the primary purpose of calculating measures of position?

    <p>To divide a data distribution into parts</p> Signup and view all the answers

    What is the formula to find the kth percentile (Pk) of a grouped data set?

    <p>Pk = LB + [(100k/N) - cf]/fb</p> Signup and view all the answers

    What is the interpretation of the 80th percentile of a data set?

    <p>80% of the data points are below this value</p> Signup and view all the answers

    What does the 57th percentile represent?

    <p>The grade that 57% of students did not exceed.</p> Signup and view all the answers

    What is a decile of a data set?

    <p>A measure that divides the data into ten equal parts</p> Signup and view all the answers

    What is the 2nd quartile of the given data?

    <p>85.75</p> Signup and view all the answers

    What is the kth quartile (Qk) of a data set?

    <p>The kth percentile divided by 4</p> Signup and view all the answers

    If Miguel's grade is at the 85th percentile, which class interval does he belong to?

    <p>86-90</p> Signup and view all the answers

    What is the purpose of finding the lower boundary in percentile calculations?

    <p>To identify the location of the percentile</p> Signup and view all the answers

    What does it mean if Zildian's score is at the 7th decile?

    <p>His score is higher than 70% of his classmates.</p> Signup and view all the answers

    What is the interpretation of the 7th decile?

    <p>He scored higher than 70% of his classmates.</p> Signup and view all the answers

    What is the conclusion about Badjao's score?

    <p>He passed the examination.</p> Signup and view all the answers

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