Question

the length of a guest lecturers talk represents the third quartile for talks in a guest lecture series. make an observation about the length of the talk.

choose the correct answer below.

a. the talk is longer in length than 25% of the lectures in the series.
b. the talk is longer in length than 100% of the lectures in the series.
c. the talk is longer in length than 75% of the lectures in the series.
d. the talk is longer in length than 50% of the lectures in the series.

Explanation:

Define the third quartile

Using the Percentiles and Quantiles knowledge point
The third quartile, denoted as \(Q_3\), corresponds to the 75th percentile of a dataset.

Interpret the percentile value

Using the Percentiles and Quantiles knowledge point
A value at the 75th percentile is greater than or equal to approximately 75% of the observations in the dataset.

Match with the given options

Using the Percentiles and Quantiles knowledge point
The statement "The talk is longer in length than 75% of the lectures in the series" correctly describes the third quartile.

Answer:

• A. The talk is longer in length than 25% of the lectures in the series.
• B. The talk is longer in length than 100% of the lectures in the series.
• C. The talk is longer in length than 75% of the lectures in the series. (Correct answer)
• D. The talk is longer in length than 50% of the lectures in the series.