PS296 Study Guide - Midterm Guide: Graduate Record Examinations, Grand Poobah, Percentile Rank
1. Avneet is a Raptors fan and loves all types of music, including music created by Drake. Drake is the
Global Ambassador for the Toronto Raptors and attends an average of 30 home games during the
regular season. Assuming his home game attendance is normally distributed with a standard deviation
of 3 games, what is the probability of Drake attending 25 games or less during the regular season?
2. Your turn: Create stem and leaf for following data (test scores out of 50):
9, 21, 23, 29, 35, 38, 38, 42, 43, 45, 45, 48, 49, 49, 50
3. Bronwynne aspires to be a police officer. An experienced Waterloo Regional Police constable earns
an average annual salary of $85,000. Assuming salaries are normally distributed with a standard
deviation of $5,000, what is the probability of an experienced Waterloo Regional Police constable
earning $92,000 or more?
4. Jessica is not sure what she plans do after she graduates, but let’s assume pursuing a teaching career
is a possibility. Let’s also assume that Jessica wants to teach at the primary level. Grade 1 teachers
mark an average of 10 spelling tests per month with a standard deviation of 1.5. Assuming a normal
distribution, what is the probability of a grade 1 teacher (i.e., potentially Jessica in the future) marking
between 8 and 9 spelling tests in a month?
5. Raw scores on an IQ test are transformed to a distribution with a mean of 100 and a standard
deviation of 16. A student scored 136 on this test. What percentile did she score in?
6. The following values represent temperatures in degrees Celcius (C). One degree Fahrenheit (F) is
equal to 1.8 (C) + 32. If you converted the temperatures to F, what would be the mean and standard
deviation?: 2 3 6 9
7. If the probabilities that Marc C, Carly, and Rosa will be chosen as the PS296 class representative are
.50, .30, and .20 respectively, what is the probability that either Marc C or Rosa will be chosen? What
is the probability they will both be chosen?
8. New York City taxis are driven an average of 75,000 miles per year with a standard deviation of
12,000 miles. Assuming the distribution is normally distributed, use the empirical rule to determine the
number of miles driven by 68, 95 and over 99% of taxis.
9. Water Buffalo members of the Grand Poobah consume an average of 50 beers per month with a
standard deviation of 10 beers. Assuming the distribution is normally distributed, and based on the
empirical rule, how many beers does 95% of members consume in a month?
10. Stefanie is thinking about attending graduate school, and therefore signed up to write her Graduate
Record Examination (GRE). She scored 160 on the quantitative section of the test. Given that the
average score was 151 with a standard deviation of 9, what is her percentile rank
11. Jiaman went to a Taylor Swift concert the night before she wrote the GRE, and therefore did not
study as much as her classmates. She scored a combined total of 284 on the test. The grad school
program she is interested in requires students to score at or above the 45th percentile. Assuming the
average total score on the test was 306 with a standard deviation of 10, did she meet the minimum
requirement? What score did Jiaman need to obtain on the GRE to meet the min requirement for the
grad program?
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Document Summary
Avneet is a raptors fan and loves all types of music, including music created by drake. Global ambassador for the toronto raptors and attends an average of 30 home games during the regular season. 9, 21, 23, 29, 35, 38, 38, 42, 43, 45, 45, 48, 49, 49, 50: bronwynne aspires to be a police officer. An experienced waterloo regional police constable earns an average annual salary of ,000. Let"s also assume that jessica wants to teach at the primary level. Grade 1 teachers mark an average of 10 spelling tests per month with a standard deviation of 1. 5. What percentile did she score in: the following values represent temperatures in degrees celcius (c). One degree fahrenheit (f) is equal to 1. 8 (c) + 32. : 2 3 6 9: if the probabilities that marc c, carly, and rosa will be chosen as the ps296 class representative are.
