Question

multiple choice question what is the measure of position called below which 75% of the observations occur? the 25th percentile one standard deviation above the mean, the third decile the third quartile

Explanation:

We need to identify the measure of position where 75% of observations occur below it. Let's analyze each option:

• "The 25th percentile": 25% of observations are below this, so this is incorrect.
• "One standard deviation above the mean": This is a measure of dispersion related to the mean, not a percentile/quartile/decile for position with 75% below, so incorrect.
• "The third decile": A decile divides data into 10 parts, the third decile has 30% below it, so incorrect.
• "The third quartile": Quartiles divide data into 4 parts. The third quartile (Q3) has 75% of the data below it (since each quartile represents 25% of the data, and Q3 is at the 75th percentile mark), so this is correct.

Answer:

The third quartile