Test
Review
Scores on the math section of the
SAT are normally distributed with a
mean of 650 and a standard
deviation of 50. What percentage
of the math scores are between
500 - 800?
 99.7%

Weight is normally distributed
with a mean of 100 lbs and a
standard deviation of 15. What
percentage of people fall
between 70 - 100?
 47.75%

Scores on the Social Studies section
of the GHSGT are normally
distributed with a mean of 210 and
a standard deviation of 20. What is
the percent of social studies scores
that fall between 190 - 270?
 84%

Soccer goals by year are
normally distributed with a
mean of 55 and a standard
deviation of 3. Find the z-score
for 50.
 -1.67

Juan’s grades are normally
distributed with a mean of 78
with a standard deviation of
5. What is the z-score for 85?
 1.40

The temperatures for
September are normally
distributed with a mean of 94º
and standard deviation of 2º.
What is the z-score for 91º?
 -1.50

Snowfall in January is normally
distributed with a mean of 4.5”
and a standard deviation of .5”.
What percent of the data is
below 5.1”?
 88.49%

Love Poems in Mr. Kirkpatrick’s
mailbox average 7 per day with
a standard deviation of 2. What
percent of the data is more than
9?
 15.87%

Find the percent that
gives the following
z-score: 1.57
 94.18%

Find the percent that
gives the following
z-score: -.42
 33.72%

Find the z-score that is
closest to having the exact
percentage of 56%
 .15

Find the z-score that is
closest to having the exact
percentage of 21%
 -.81

What are the two z-scores
that contain middle 30%
of the data?
 -.39, .39

What are the two z-scores
that contain middle 80%
of the data?
 -1.28, 1.28

Gas mileage for a Toyota Prius is
44 mpg with a standard
deviation of 3. The middle 60%
of these cars have a mileage
between _____ and _____.
 41.5, 46.5

Gas mileage for a Toyota
Tacoma is 21 mpg with a
standard deviation of 2. The
middle 64% of these cars have a
mileage between _____ and _____.
 19.2, 22.8

A sample of 64 juniors at
Southeast have an average IQ of
76 with a standard deviation of
4. Construct a 95% Confidence
level for mean IQ.
 75.02, 76.98

A sample of 30 freshmen at
Southeast have an average IQ of
50 with a standard deviation of
3. Construct a 99% Confidence
level for mean IQ.
 48.59, 51.41

A recent study was conducted at
Southeast High School to examine who
was the most loved teacher. Of the 30
students polled, 60% selected Mr.
Kirkpatrick. Construct a 95%
Confidence Interval for the population
percentage for Mr. Kirkpatrick.
 42.6%, 77.4%

A recent study was conducted at
Southeast High School to examine who
was the most hated teacher. Of the 50
students polled, 85% selected Mr.
Appelman. Construct a 99%
Confidence Interval for the population
percentage for Mr. Appelman.
 72.1%, 97.9%
