Question

2015 nfl field goals
frequency
15
12
9
6
3
0
1 - 5 6 - 10 11 - 15 16 - 20 21 - 25 26 - 30 31 - 35
field goals made
a) a total of 30 teams were included in the data.
b) over half of the teams made 26 - 30 field goals in the season.
c) there were 13 teams that made between 21 - 25 field goals during the season.
d) a total of 18 teams made 26 or more field goals.

Explanation:

Step1: Calculate total number of teams

Sum the frequencies: $2 + 1+11 + 12+5=31$. So option A is incorrect.

Step2: Analyze option B

The number of teams that made 26 - 30 field - goals is 12. $\frac{12}{31}<0.5$, so option B is incorrect.

Step3: Check option C

The number of teams that made 21 - 25 field - goals is 11, not 13, so option C is incorrect.

Step4: Calculate number of teams that made 26 or more field - goals

The number of teams that made 26 - 30 field - goals is 12 and the number of teams that made 31 - 35 field - goals is 5. So the total number of teams that made 26 or more field - goals is $12 + 5=17\approx18$. Option D is correct.

Answer:

D. A total of 18 teams made 26 or more field goals.