Field goal shooting Here are data on field goal shooting for

Field goal shooting. Here are data on field goal shooting for two members of the Kent State University 2002–2003 women’s basketball team:

(a)

What percent of all field goal attempts did Jamie Rubis make? What percent of all field goal attempts did Lindsay Shearer make?

(b)

Now find the percent of all two-point field goals and all three-point field goals that Jamie made. Do the same for Lindsay.

(c)

Lindsay had a lower percent for both types of field goals but had a better overall percent. That sounds impossible. Explain carefully, referring to the data, how this can happen.

(a)	What percent of all field goal attempts did Jamie Rubis make? What percent of all field goal attempts did Lindsay Shearer make?
(b)	Now find the percent of all two-point field goals and all three-point field goals that Jamie made. Do the same for Lindsay.
(c)	Lindsay had a lower percent for both types of field goals but had a better overall percent. That sounds impossible. Explain carefully, referring to the data, how this can happen.

Jamie Rubis Lindsay Shearer Made Missed Made Missed Two-pointers9 115 Three-pointers 86 84 36 61 16

Solution

a)

For Jamie Rubis:

P = total made / total = (119+36)/(119+36+115+61) = 0.468277946 = 46.8277946% [answer]

For Lindsay Shearer:

P = total made / total = (86+5)/(86+5+84+16) = 0.476439791 = 47.6439791% [answer]

b)

For Jamie:

P(2 pt) = 119/(119+115) = 0.508547009 = 50.8547009%
P(3 pt) = 36/(36+61) = 0.371134021 = 37.1134021%

For Lindsay:

P(2 pt) = 86/(86+84) = 0.505882353 = 50.5882353%
P(3 pt) = 5/(5+16) = 0.238095238 = 23.8095238%

c)

Lindsay did not shoot too many 3pt shots, in which she is not as good. Jamie shot many three point shots, which lowered her overall percentage.