# Statistic

Consider a football team for whom the numbers on the active players’ jerseys are 29, 41, 50, 58, 79,…, 10
(listed in alphabetical order of the players’ names). Does it make sense to calculate the mean of those
numbers? Why or why not?
2. The Fair Isaac Corporation (FICO) credit rating scores obtained in a simple random sample are listed below:
714-751-664-789-818-779-698-836-753-834-693-802

a. Find mean, median, mode, and midrange.
b. As of this writing, the reported mean FICO score was 678. Do these sample FICO scores appear to be
consistent with the reported mean?
3. A student earned grades of 92, 83, 77, 84, and 82 on her five regular tests. She earned grades of 88 on the
final exam and 95 on her class projects. Her combined homework grade was 77. The five regular tests count
for 60% of the final grade, the final exam counts for 10%, the project counts for 15%, and homework counts
for 15%. What is her weighted mean grade?
4. Bao Xishun is the world’s tallest man with a height of 92.95 in. (or 7 ft. 8.95 in.). Men have heights with a
mean of 69.6 in. and a standard deviation of 2.8 in.
a. Convert Bao’s height to a z-score.
b. Does Bao’s height meet the criterion of being unusual by corresponding to a z-score that does not fall
between -2 and 2?

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3. 👁 95
1. #1. Makes no sense to average jersey numbers

#2.
Order the scores to get
664 693 698 714 751 753 779 789 802 818 834 836
mean: 760.9
median: 752
mode: all are modes
midrange: 750
don't look consistent to me

#3.
.60(92+83+77+84+82)/5 + .10*88 + .15*95 + .15*77 = 84.76

#4.
(92.95-69.6)/2.8 = 8.34 std above the mean

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posted by Steve

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