Use Chebyshev S Inequality to Describe Any Set of Data $54 \mathrm { mph }$

Multiple Choice

Use Chebyshev s Inequality to Describe Any Set of Data
-At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 99 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph. If nothing is known about the shape of the distribution, give an interval that will contain the speeds of at least eight-ninths of the player s serves.

A) $54 \mathrm { mph }$ to $144 \mathrm { mph }$
B) $69 \mathrm { mph }$ to $129 \mathrm { mph }$
C) $39 \mathrm { mph }$ to $159 \mathrm { mph }$
D) $144 \mathrm { mph }$ to $189 \mathrm { mph }$