Here are the weekly winnings for several local poker players: $100,$50,$125,$75,$80,$60,$110,$150,$300,$700,$115,$75,$1000,$5000.Which is a better summary of the spread,the standard deviation or the IQR? Explain.
A)SD,because the distribution is symmetric.
B)Either,because the distribution is symmetric.
C)SD,because the distribution is skewed.
D)IQR,because the distribution is symmetric.
E)IQR,because the distribution is skewed.

Question

Quizplus · Accepted Answer

The distribution of weekly winnings is likely skewed due to the high values of $700, $1000, and $5000. As such, the IQR would be a better choice for summarizing the spread of the data as it is robust to outliers and skewed distributions. On the other hand, the standard deviation assumes a normal distribution, which is unlikely to be the case for these poker winnings.

Here Are the Weekly Winnings for Several Local Poker Players