Question

he 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 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?

Answer 1

a)

0.3212

b)

The percentage of player that had a top speed less than 13.9 km/h = 0.007259 x 100 = 0.7259%

Explanation:

a) Construct relative frequency distribution?

Speed (km/hour) Number of players Relative frequency

10 – 13.9

14-17.9

18 – 21.9

22 – 25.9

26 – 29.9

30 – 33.9

4

8

18

76

268

177 4/551=0.007259

8/551=0.01451

18/551=0.03266

76/ 551=0.1379

268/551 = 0.486

177/551=0.3212

(b) frequency histogram:

Freq)

300 -

200 -

100-

0-

10 14 18 22 26 30 34

The percentage of player had top speed between 14 and 17.9 km/h was = 0.01451 x100 = 1.451%

The percentage of player that had a top speed less than 13.9 km/h = 0.007259 x 100 = 0.7259%