The data to the right represent the top speed (in kilometers per hour) of all th

Question

The data to the right represent the top speed (in kilometers per hour) of all the players (except goaltenders) in a certain soccer league. Construct (a) a relative frequency distribution (b) a Speed (km/hr) Number of Players frequency histogram, and (c) a relative frequency histogram. What percentage of players had a top speed between 14 and 17.9 km/h? What percentage of players had a top speed less than 13.9 km/h? 10-13.9 14-17.9 18-21.9 22-25.9 26-29.9 30-33.9 18 73 330 183 (a) Construct a relative frequency distribution. (kmhr)Relaive Fr 10-13.9 14-17.9 18-21.9 22-25.9 26-29.9 30-33.9 Round to four decimal places as needed.) (b) Choose the correct frequency histogram below. 10 14 18 22 26 30 34 10 14 18 22 26 30 34 Speed (kmvhr) Speed (kmvhr) 100 1014 1822 26 3034 Speed (umhr) 10 14 18 22 26 30 34 Speed (umhr)

Explanation / Answer

18 - 21.9

Total players = 613

(b) The correct frequency historgram is shown by (a) it matches the numbers in the original table

(c) The correct gistorgram is shown in (b) it matches the values in the above created histogram

(d) Players with speed between 14 and 17.9 = 6

percentage = (6/613)*100= 0.0097*100 = 0.97%

Players with speed less than 13 = 3

percentage = (3/613)*100= 0.0048*100 = 0.48%

(a)Relative Frequency Distribution Speed Relative Frequency 10 - 13.9 3/613 =0.0048 14 - 17.9 6/613= 0.0097

18 - 21.9

18/613 = 0.0293 22 - 25.9 73/613 = 0.1190 26 - 29.9 330/613 = 0.5383 30 -33.9 183/613 = 0.2985

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