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 (D)</p> Signup and view all the answers

How many students took the 50-item test?

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

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

<p>Quartile (D)</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 (D)</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 (B)</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 (D)</p> Signup and view all the answers

What does the 57th percentile represent?

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

What is the 2nd quartile of the given data?

<p>85.75 (B)</p> Signup and view all the answers

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

<p>The kth percentile divided by 4 (C)</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 (C)</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 (D)</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. (A)</p> Signup and view all the answers

What is the interpretation of the 7th decile?

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

What is the conclusion about Badjao's score?

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

Flashcards

Decile

A measure that divides a data set into ten equal parts.

Percentile

The score point that divides a data distribution into 100 equal parts.

Lower Boundary

The lower boundary of the class that contains the kth percentile.

Percentile Formula

The formula used to calculate the kth percentile (Pk) for grouped data.

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Cumulative Frequency

The first step in calculating measures of position for grouped data.

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Quartile

A measure that divides a distribution into four equal parts.

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Quartile Formula

The kth quartile (Qk) is calculated by dividing the kth percentile by 4.

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80th Percentile

The value below which 80% of the data lies.

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Measures of Position

To divide a data distribution into parts to understand its spread.

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Decile Class Formula

The formula to find the kth class for decile.

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57th Percentile

The grade that 57% of students did not exceed.

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7th Decile

The interpretation of the 7th decile is that a student scored higher than 70% of other students.

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70th Percentile Significance

A score at the 70th percentile means a student performed better than 70% of their peers.

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