Visual Displays: Histogram
Census v. Sample and Population Distribution v. Sampling Distribution
Statistic v. Parameter
Descriptive Statistics
Center: Mean Median Mode
Dispersion: Range, Interquartile Range Standard Deviation (Variance) (Standard Error)
Chebyshev’s Theorem
Skewness
Standardized Values
Practice: Female Executives in U.S. companies earn an average salary of $80,000. The median salary for the same group is
$90,000. The standard deviation of female U.S. executive salaries is $18,000. For comparison, the table below gives the salaries
for a random sample of male executives in U.S. companies.
Compare and contrast the salaries of male
Executive Salary in
and female executives. Comment on the
Thousands
claim that women are paid 75 percent of
1
90
what men earn in equivalent positions.
2
160
Assuming any executive is underpaid if he
3
40
or she earns less than $50,000, which
4
240
gender is more likely to be underpaid?
5
100
Explain your answers. Write your answers
6
120
in the form of a short newspaper article
7
100
(headline and all).
8
70
9
80
10
100
Practice We here at DOIT sports equipment company have been trying to upgrade our line of golf balls. The old balls which
were moderately successful for us had the following characteristics: Average distance per drive of 265 yards with a standard
deviation of 30 yards. Median drive of 263 yards. We tested 10 new balls driving them the following distances:
ball distance
1
265
2
270
Compare and contrast the new and old
3
255
designs. Which ball is more likely to
4
230
reach beyond 290 yards? Which ball
5
250
is less likely to fall under 220 yards?
6
260
Design an advertisement (slogan/
7
220
phrase and text) for the new ball that
8
298
emphasizes its strengths.
9
270
10
290
Practice We here at DOIT sports equipment company pride ourselves on providing a line of golf balls that consistently meet
our customer’s expectations. As such we continually test batches from each production run to make sure our balls meet the
specifications. The test involves hitting a sample of 10 balls from each batch with a mechanized driver. The table below shows
the average distance in the last 10 samples. (using the new ball design)
sample
distance
1
257.90
2
251.06
Compare and contrast this
3
261.71
information with that from the
4
previous question. What would
268.94
constitute evidence of a production
5
268.39
problem?
6
272.13
7
244.71
8
258.36
9
267.67
10
252.39