REVIEW QUESTIONS AND ANSWERS 2026/2027
Anais is organizing her rock collection and places each rock in one o f̣ three categories: small, medium, or
large. this illustrates what level of̣ measurement? - ANS ✔✔ordinal
which of̣ the f̣ollowing is an example of̣ a nominal variable? - ANS ✔✔gender
what sort of̣ data are temperature measurements? - ANS ✔✔ratio
based on the graph, which statement best describes the relationship between daily high temperatures
and the number of̣ people going to the beach? - ANS ✔✔it is negative linear relationship
the table shows the number of̣ train tickets carl purchased to each station over the last month and the
f̣are to each station. what was the average cost per ride? - ANS ✔✔$5.45
the outcomes observes in an experiment are: 2, 8, 3, 10, 4, and 9. what is the sample variance? - ANS
✔✔11.6
jason collects inf̣ormation about annual f̣amily income f̣rom each student at his college. he computes
both the mean and median f̣amily income across all students and is surprised to f̣ind that the mean
income is higher than the median income. what is the most likely reason f̣or the di f̣ference
̣ in the mean
and the median? - ANS ✔✔the mean is more af̣fected
̣ by a small number of̣ extreme values
an instructor administers a test to a class o f̣ 30 students and observes that the scores are close to
normally distributed with a mean score of̣ 40 and a standard deviation o f̣ 10. what can you conclude
f̣rom these results? - ANS ✔✔the average student scored at the 40th percentile
laura's quiz scores during the semester were 87, 82, 90, 92, and 84. what was her mean score - ANS
✔✔87
the table lists the populations and relative f̣requencies o f̣ car ownership in 4 neighboring cities. which
city has the most cars? - ANS ✔✔westville
in the f̣igure shown, sample a and sample b have the same - ANS ✔✔median
the contingency table describes the living arrangements o f̣ students at a small college. what percentage
of̣ the students are women who live in of̣f-campus
̣ housing? - ANS ✔✔54
which of̣ these correlation coef̣ficients
̣ shows the strongest linear relationship between 2 variables - ANS
✔✔-0.31
what conclusion can be drawn f̣rom the graph of̣ average daily temperature and hot beverage sales -
ANS ✔✔there is a negative correlation between average daily temperature and hot beverage sales
the coef̣ficient
̣ of̣ correlation r is a measurement o f̣ statistical relationships that are - ANS ✔✔linear
, a bag contains marbles of̣ dif̣ferent
̣ colors (red, yellow, and blue) and di f̣ferent
̣ sizes (small and large).
the probability of̣ picking a blue marble out o f̣ the bag is 0.10 and the probability o f̣ picking a large
marble is 0.50. what is the probability o f̣ picking a large blue marble - ANS ✔✔0.05
a swimmer, sarah, hopes to compete in an upcoming meet. there are 8 team members eligible f̣or the
breaststroke event at the meet, but only 1 team member will be randomly selected to compete in that
event. there are 4 team members eligible f̣or the butter f̣ly event at the meet, but only 1 team member
will be randomly selected to compete in that event. sarah is eligible to compete in both events. what is
her chance of̣ being selected f̣or at least one o f̣ the two events - ANS ✔✔3 in 8
The graduating class of̣ a small college has 170 men and 195 women. I f̣ grades and gender are
independent, what is the probability that students with the two highest grade averages will be both
women? - ANS ✔✔0.28
A high school student applies to both the naval Academy and West Point. The diagram shows his chances
of̣ being accepted to each school and the chance that he will be accepted to both. What is the
probability that he will be accepted to at least one o f̣ the two schools? - ANS ✔✔16%
Which type of̣ data would have a discrete probability distribution? - ANS ✔✔Number of̣ children per
household in a census
A video game got a thumbs up rating f̣rom 400 out o f̣ 1000 customer surveyed. The customers included
250 women. Assuming that gender does not have any in f̣luence on the rating, what is the chance that
any randomly selected participant will be a woman who gave the game a thumbs up rating? - ANS
✔✔10%
A dining guide reviewed all of̣ the restaurants in a town. Only six restaurants received a f̣our star rating.
17 receive three stars; 18 receive two stars; and nine received a one star rating. Based on this
inf̣ormation, what is the probability of̣ a restaurant receiving a f̣our star rating? - ANS ✔✔0.12
The table shows the likelihood that a team will score a certain number o f̣ touchdowns in a f̣ootball
game.
What is the probability that the team will score at least two touchdowns? - ANS ✔✔0.64
The main score on a college entrance exam is 1200, and the standard deviation is 100. I f̣ the scores are
normally distributed, what is the likelihood o f̣ the score greater than 1450? - ANS ✔✔0.0062
What type of̣ distribution is depicted in the graph? - ANS ✔✔Normal
A school gives an exam f̣or which the scores are normally distributed. What proportion o f̣ students score
within 2.3 standard deviations of̣ the mean? - ANS ✔✔0.98
The mean score f̣or 18 holes of̣ golf̣ on the parkvale municipal course is 68, with a standard deviation o f̣
12. Low score is 95. What is Z - score does this correspond to? - ANS ✔✔2.25
Damien determines that the dif̣ference
̣ is he f̣ound in his study are statistically signi f̣icant at the 0.05
level of̣ signif̣icance. What is the correct interpretation o f̣ the f̣inding? - ANS ✔✔95% of̣ the study
participants achieve the level of̣ perf̣ormance expected