Danielle wants to determine the median age of the 300 people attending a music festival. She selects 3 people at random and determines the median. What may be concluded about the results?
A. The results are a good predictor of the median age of the attendees.
B. The sample size is too small to give a reliable conclusion. ****
C. The sample was not truly random, so it is not reliable.
D. The population is too large to get reliable results from any sample size.
Please help! TIA
I agree
Thanks :-)
of course
To determine the median age of the 300 people attending the music festival, Danielle selects only 3 people at random and determines the median. Based on this method, it can be concluded that the sample size is too small to give a reliable conclusion.
The median age represents the middle value when data is arranged in ascending or descending order. Ideally, to determine the median age accurately, a larger sample size is needed, representing a more significant proportion of the total population. By selecting only 3 people out of 300, the sample size is too small to provide a representative snapshot of the entire population attending the music festival.
A larger sample size would help in reducing the potential effect of outliers, ensuring a more accurate estimation of the median age. Therefore, option B, "The sample size is too small to give a reliable conclusion," is the most appropriate conclusion to draw from the given scenario.