Answered

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3. The first quartile of the data set is equal to the ______.

A. 5th decile C. 50th percentile

B. 25th percentile D. 75th percentile​

Sagot :

poisonedren

Answer:

The correct answer is: B. 25th percentile

Explanation:

To find the first quartile of a data set, we need to determine the value that separates the lowest 25% of the data from the higher 75%. In other words, it is the 25th percentile.

MrChris

[tex]\underline{\underline{\large{\red{\mathcal{✒GIVEN:}}}}}[/tex]

The first quartile is discussed in the form of a statement.

 

[tex]\underline{\underline{\large{\red{\mathcal{REQUIRED:}}}}}[/tex]

If one is to arrive at the correct option or decision the right way, then certain procedures or steps must first be followed.

 

[tex]\underline{\underline{\large{\red{\mathcal{EXPLANATION:}}}}}[/tex]

Quartile is a term from statistics in general, and it defines a division of observations into four predefined ranges with reference to the values of the data and their relation to the total number of observations. Quartiles are distributed into the first quartile, the second quartile, referring to the middle quartile, and the third quartile.

 

If the data is arranged in order, starting from the lowest value, then the data is separated into four parts, each having a quarter  of the full set.

 

It may be noted that quartile 1 (Q1) is equivalent to the first quartile, which is the 25th percentile, while quartile 3 (Q3) is equivalent to the 75th centile. The median, M, is the second quartile, the same as the second decile and the 50th percentile.

 

Therefore, the first quartile of a dataset corresponds to the position of the twenty-fifth percentile.

 

Final Answer

[tex]\therefore[/tex] if we check the given options, the correct answer is option B) 25th percentile.

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