3) The following frequency table represents the top speed (in kilometers per hour) of all the players (except goalkeepers) in the 2014 World Cup Soccer Tournament.
Speed
Number of Players
10-13.9
4
14-17.9
7
18-21.9
17
22-25.9
91
26-29.9
282
30-33.9
206
a) Determine the class midpoints and calculate the mean and standard deviation.
b) Sketch a histogram of the data and determine the shape of the distribution.