Name:
Date:
STATISTICS Review Worksheet
This is given to you on the SOL formula sheet.
PROBLEMS
1. The data set below gives the number of field goals made by the 10 kickers who kicked
the most field goals during the 2004 NFL regular season.
29, 28, 27, 25, 24, 31, 24, 24, 27, 29
Find (***Round all answers to the Hundredths Place***):
a) Mean ___________________________
b) Median__________________________
c) Mode ___________________________
d) Range___________________________
e) Standard deviation__________________
f) Variance ___________________________
f) In 2009 the highest number of field goals kicked by a kicker in the NFL was 35. Find the
z-score for this player and use it to explain if that is an unusually large number of field
goals.
z-score____________________________________
Explanation:__________________________________________________________________________________________
2. SAT Scores are normally distributed. The distribution of SAT scores for the incoming
class at JMU had a mean of 1145 and a standard deviation of 115. If Jared scored a 1290 on
his SATs, how many standard deviations above the mean is his score? (In other words,
what is his z-score? Will he get into JMU with this score?)
3. Use the information from #8 above concerning SAT scores. ACT scores are also
normally distributed. The distribution for in the incoming class at JMU had a mean of 24.9
and a standard deviation of 2.78. If my daughter scored a 29 on her ACTs, which one of my
children has a better chance of getting into JMU (based solely on standardized testing)?
EXPLAIN!
4. The length of human pregnancies varies according to a distribution that is normal with a
mean of 266 and standard deviation of 16 days.
a) What percent of pregnancies last LESS THAN 258 days?
Lower =
Upper =
b) What percent last MORE THAN 300 days?
Lower =
Upper =
c) What percent last BETWEEN 250 and 282 days?
Lower =
Upper =
5. An election ballot asks voters to select three city commissioners from a group of six
candidates. In how many ways can this be done? (Hint: is this a combination or
permutation? Does order matter?)
6. The ski club with 10 members is to choose three officers: a captain, co-captain, and
secretary. How many different ways can this be done?
Evaluate the sums (quick review): (Hint: plug in and write them all out…then add!)
5
6
7.
 2 x  3 
x 3
8.
a
a 2
2
1 