Transcript Honors Statistics

Honors Statistics
October 24-28, 2011
Monday, October 24, 2011
Honors Statistics
Monday, October 24, 2011
Honors Statistics warm-up
Suppose I say that I will drop the lower of your two
tests. You got a 90 on quiz 1 and an 80 and quiz 2.
Just as you’re about to drop quiz 2, I drop a bomb on
you: I will grade “on a curve”, i.e., I will standardize
the scores to decide which is the lower one.
If the mean on the first test is 88 with a standard
deviation of 4 and then mean on the second was a
75 with a standard deviation of 5, which test should
you drop?
Welcome to college!
Monday, October 24, 2011
Quiz # 2
1. What is the name of the Greek letter σ? What does it
stand for in statistics?
2. From the following data set listed below, (a) draw a
dot plot, (b) calculate a 5-number summary, (c) list
the mean, standard deviation, range, and IQR, and
(d) do a box plot including the upper fence, lower
fence, and outliers.
3. What is n for the data set?
3, 8, 4, 3, 7, 9, 3, 1, 2, 1, 2, 11, 12, 13, 3, 2, 3, 3,
3, 4, 5, 1, 2, 8, 12, 15, 3, 2, 3, 10
Tuesday, October 25, 2011
Honors Statistics warm-up
1. How many euros is $2,500 if the
conversion rate is $1.34=1€?
2. How many inches are in a kilometer?
3. Express in meters the distance from earth
to Proxima Centauri if the distance is 4.2
light years (recall that the speed of light is
approximately 300,000 meters per
second)
Wednesday, October 26, 2011
Honors Statistics warm-up
1.
2.
3.
Rupert Murdoch and his family control 40% of News Corp.,
and a friendly Saudi prince owns another 12%. At a
shareholder’s meeting, dissident shareholders voted 33% of
all shares against Murdoch’s son James as a member of the
board of directors. Assuming that the Murdoch family and
the Saudi prince voted all their shares in favor of James,
what was the percentage in favor of ousting James from the
board as a percentage of the non-Murdock controlled
shares?
A runner ran the 800 meter “dash” in 145 seconds. At the
meet, the average time was 137.6 seconds, with a standard
deviation of 4.3 seconds. Express the runner’s time in units
of standard deviation. How did the runner do compared to
the other contestants.
In the same race as described in question 2, another runner
ran 1.83 standard deviations under the mean time. What
was her time in the race?
Thursday, October 27, 2011
Honors Statistics warm-up
1. Zlotnys are convertible only to British Pound
Sterling at the rate of 16.34 zlotny for each British
Pound. Each British pound in turn is worth
$1.61US, and the current exchange rate between
euros and dollars is 1:1.41. What is the value of
255 zlotnys in terms of Euros?
2. A runner completes a race at 1.7 standard
deviations below the mean time of 38.8 seconds,
with σ = 4.2 seconds. How many seconds from
the mean time did the runner finish?
Friday, October 28, 2011
Honors Statistics warm-up
1. How many seconds are in 47 days?
2. How many ounces are in 2.5 kilos?
3. Assume a normal distribution of driving
times where the average is 20 minutes and
the standard deviation is 2 minutes.
Calculate the percentage of times that:
1.
2.
3.
4.
Your driving time is more than 16 minutes.
You arrive no later than 22 minutes.
You are more than 6 minutes later than average
You are 4 minutes or more earlier than the average