The median score is also the A. 75 th percentile 8. 5 th decile C. 3rd decile D. 1st quartile
The median score is also the A. 75th percentile B. 5th decile C. 3rd decile D. 1st quartile?
Answer: The correct answer is B. 5th decile.
To understand why the median score is the 5th decile, let’s break down these terms:
1. Median:
The median is the middle value of a data set when the numbers are sorted in ascending order. It divides the data set into two equal halves, with 50% of the values being lower and 50% being higher.
2. Percentiles:
Percentiles divide a data set into 100 equal parts. The median corresponds to the 50th percentile because 50% of the data values are below the median.
3. Deciles:
Deciles divide a data set into 10 equal parts. Therefore, the 5th decile is the value below which 50% of the data falls, which is also the definition of the median.
4. Quartiles:
Quartiles divide a data set into 4 equal parts. The first quartile (Q1) is the value below which 25% of the data falls, the second quartile (Q2) is the same as the median (50%), and so forth.
Explanation of the Given Options:
- A. 75th percentile: This is the value below which 75% of the data falls. This is not the median.
- B. 5th decile: As explained, the 5th decile represents the median.
- C. 3rd decile: The 3rd decile is the value below which 30% of the data falls, not the median.
- D. 1st quartile: The first quartile (Q1) is the value below which 25% of the data falls, not the median.
Thus, the median score is also known as the 5th decile, and the correct answer is B.