Ap Statistics Math Worksheet Page 3

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13. According to the Presidential Association of Physical Education Teachers, the mean number of pushups a 16 year old male can do
is 8, with a standard deviation of 3.
MODEL: ___________________________________
a. Draw this distribution.
Label the scale in pushups.
b. On the same picture, place the z-score under each
pushup already labeled.
c.
How many pushups does it take to be in the top 2.5% of
d.
If a male has a pushup z-score of 5, how many pushups can
males?
he do?
e.
What percent of males can do between 5 and 11 pushups?
f.
What percent of males can do between 11 and 14 pushups?
g.
Randy can do 8 pushups. What is his z-score?
h.
Rick can do 7 pushups. What is his z-score?
i.
What percent of males can do 7 or fewer pushups?
j.
What percent of males can do between 7 and 9 pushups?
Draw the appropriately shaded picture here:
Draw the appropriately shaded picture here:
Answer here:
Answer here:
(show work)
(show work)
14. After waiting for two months, your SAT scores finally arrive in the mail. The problem happens to be that you had a mouse in
your mailbox and it ate most of your College Board letter. The only thing you can make out of the rubble is that you got a Math
z-score of 3. What is you Math percentile?
th
15. You sift through the mouse rubble and find your Verbal score is the 84
percentile. What is your Verbal z-score?

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