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The Quartilecfor Grouped Data

Question 1:

Calculate the Q1 of the mathematics test score of 50 students?

Sagot :

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Answer:

is the median (the middle) of the lower half of the data, and Q3 is the median (the middle) of the upper half of the data. (3, 5, 7, 8, 9), | (11, 15, 16, 20, 21). Q1 = 7 and Q3 = 16. Step 5: Subtract

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ANSWER :

[tex] = 28.21[/tex]

FORMULA :

[tex] q_{k} = lb + ( \frac{ \frac{kn}{4} - cf}{fqk} )i[/tex]

GIVEN :

L B = 25.5

N = 50

cf b = 6

F q2 = 12

i = 5

[tex] q_{1} = \frac{n}{4} = \frac{50}{4} = 12.5[/tex]

STEP-BY-STEP EXPLANATION :

  • This means we need to find the class interval where the 12.5th score is contained.

  • Note : that the 7th-18th scores belong to the class interval: 26-30. So, the 12.5th score is also within the class interval.

  • The Q1 class is class interval 26-30.

SOLUTION :

[tex] q_{1} = lb + ( \frac{ \frac{n}{4} - cf_{} }{f _{ _{q1}} } )i[/tex]

[tex] q_{1} = 25.5 + ( \frac{12.5 - 6}{12} )5[/tex]

[tex] q_{1} = 28.21[/tex]

  • Therefore, 25% of the students have a score less than or equal to 28.21

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