120 100 Frequency 60 70 80 90 100 110 120 130 Grades (a) Approximately how many grades are between 115 and 125 points? (b) Approximately how many grades are between 120 and 127.5 points? (c) It is found from the raw data that the sample mean is 122.3 points and the sample median is 125 points. In one sentence, say why the two measures of centrality are different for these data.The effect of protective headgear on head injuries and concussions in ado- lescent football (soccer) players (Br J Sports Med. 2008 Feb;42(2):110-5) In- vestigators examined the effects of protective headgear in adolescent soccer players. Participants were soccer players aged 12-17 years from clubs in Ontario. A question- naire examining the 2006 soccer season using self-reported symptoms. There were 278 participants, of which 216 reported not using headgear while playing and 52 reported using headgear while playing. Ten athletes could not reliably be classified as wear- ing or not wearing headgear. The following table provides the distribution of players cross-classified by position and whether or not they use headgear. Position No headgear Headgear Defense 68 19 Forward/Striker 13 13 Goalkeeper 20 6 Midfield 85 14 Headgear in Youth Soccer No Headgear Headgear Frequency Defender Forward/Striker Goalkeeper Midfielder (a) What (informal) inference can you draw from the graphs about the use of head- gear? (in no more than two sentences)