SOPHIA STATISTICS UNIT 2 MILESTONE EXAM
SCRIPT 2026 FULL QUESTIONS WITH
CORRECT ANSWERS
◉ A basketball player averages 22.5 points scored per game with a
standard deviation of 6.2 points. In one game, the athlete scored 10
points. What is the z-score for the points scored in this game?
Answer: A. -2.02
◉ A basketball player averages 22.5 points scored per game with a
standard deviation of 6.2 points. In one game, the number of points
the athlete scored was 1.2 standard deviations below the mean.
Which of the following is the z-score for the number of points
scored? Answer: B. -1.2
◉ A popular restaurant advertises that it delivers its orders within
30 minutes. Suppose the average delivery time for one restaurant is
27 minutes with a standard deviation of three minutes. What is the
delivery time with a z-score of 1.2? Answer: D. 30.6 minutes
◉ A popular restaurant advertises that it delivers its orders within
30 minutes. Suppose the average delivery time for one store is 27
minutes with a standard deviation of three minutes. One particular
order delivery has a z-score of -2.15. Which of the following
statements is not a correct interpretation? Answer: B. The delivery
,time was less than the average delivery time by 2.15 standard
deviations.
◉ A sample of 10 packs of a brand of chewing gum was taken. Each
pack was weighed and their weights, in grams, are shown.
43.0, 43.7, 49.6, 46.9, 47.6, 45.4, 51.2, 48.0, 40.5, 49.1
What is the z-score for the pack of gum weighing 43 grams? Answer:
B. -1.05
◉ In a certain breed of cattle, the length of gestation has a mean of
284 days and a standard deviation is 5.5 days. One length of
gestation had a z-score of -1.70. Which of the following sentences
best interprets this z-score? Answer: D. The length of this gestation
period was shorter than the mean length of gestation periods by 1.7
standard deviations.
◉ In a certain breed of cattle, the length of gestation has a mean of
284 days and a standard deviation is 5.5 days. What is the z-score for
a gestation period that lasts 290 days? Answer: D. 1.09
◉ In a certain breed of cattle, the length of gestation has a mean of
284 days and a standard deviation of 5.5 days. What is the length of
the gestation period, to the nearest whole number, that is 0.7
standard deviations below the mean? Answer: 280 days
, ◉ Currently, professional men's basketball players score an average
of 18.2 points per game with a standard deviation of 4.5 points. The
current top-scoring professional basketball player scores an average
of 36.2 points per game. In one season in the 1990s, professional
basketball players averaged 13.2 points per game with a standard
deviation of 3.7 points. The top-scoring professional basketball
player averaged 30.1 points per game. Which player did better
relative to his peers? Answer: A. The 1990s basketball player did
better than the current basketball player because his z-score is
higher.
◉ On a unit test in a statistics class, the teacher determines that the
mean test grade was 77.5 with a standard deviation of 5.2. What is
the test grade, rounded to the nearest whole number, with a z-score
of 2.4? Answer: C. 90
◉ In a statistics class, students were asked how many siblings they
have. Their responses are shown.
2, 3, 1, 3, 5, 3, 3, 3, 6, 3, 5, 0, 3
What is the z-score for the student with two siblings? Answer: A. -
0.67
◉ In a statistics class, students were asked how many siblings they
have. Their responses are shown.
2, 3, 1, 3, 5, 3, 3, 3, 6, 3, 5, 0, 3
SCRIPT 2026 FULL QUESTIONS WITH
CORRECT ANSWERS
◉ A basketball player averages 22.5 points scored per game with a
standard deviation of 6.2 points. In one game, the athlete scored 10
points. What is the z-score for the points scored in this game?
Answer: A. -2.02
◉ A basketball player averages 22.5 points scored per game with a
standard deviation of 6.2 points. In one game, the number of points
the athlete scored was 1.2 standard deviations below the mean.
Which of the following is the z-score for the number of points
scored? Answer: B. -1.2
◉ A popular restaurant advertises that it delivers its orders within
30 minutes. Suppose the average delivery time for one restaurant is
27 minutes with a standard deviation of three minutes. What is the
delivery time with a z-score of 1.2? Answer: D. 30.6 minutes
◉ A popular restaurant advertises that it delivers its orders within
30 minutes. Suppose the average delivery time for one store is 27
minutes with a standard deviation of three minutes. One particular
order delivery has a z-score of -2.15. Which of the following
statements is not a correct interpretation? Answer: B. The delivery
,time was less than the average delivery time by 2.15 standard
deviations.
◉ A sample of 10 packs of a brand of chewing gum was taken. Each
pack was weighed and their weights, in grams, are shown.
43.0, 43.7, 49.6, 46.9, 47.6, 45.4, 51.2, 48.0, 40.5, 49.1
What is the z-score for the pack of gum weighing 43 grams? Answer:
B. -1.05
◉ In a certain breed of cattle, the length of gestation has a mean of
284 days and a standard deviation is 5.5 days. One length of
gestation had a z-score of -1.70. Which of the following sentences
best interprets this z-score? Answer: D. The length of this gestation
period was shorter than the mean length of gestation periods by 1.7
standard deviations.
◉ In a certain breed of cattle, the length of gestation has a mean of
284 days and a standard deviation is 5.5 days. What is the z-score for
a gestation period that lasts 290 days? Answer: D. 1.09
◉ In a certain breed of cattle, the length of gestation has a mean of
284 days and a standard deviation of 5.5 days. What is the length of
the gestation period, to the nearest whole number, that is 0.7
standard deviations below the mean? Answer: 280 days
, ◉ Currently, professional men's basketball players score an average
of 18.2 points per game with a standard deviation of 4.5 points. The
current top-scoring professional basketball player scores an average
of 36.2 points per game. In one season in the 1990s, professional
basketball players averaged 13.2 points per game with a standard
deviation of 3.7 points. The top-scoring professional basketball
player averaged 30.1 points per game. Which player did better
relative to his peers? Answer: A. The 1990s basketball player did
better than the current basketball player because his z-score is
higher.
◉ On a unit test in a statistics class, the teacher determines that the
mean test grade was 77.5 with a standard deviation of 5.2. What is
the test grade, rounded to the nearest whole number, with a z-score
of 2.4? Answer: C. 90
◉ In a statistics class, students were asked how many siblings they
have. Their responses are shown.
2, 3, 1, 3, 5, 3, 3, 3, 6, 3, 5, 0, 3
What is the z-score for the student with two siblings? Answer: A. -
0.67
◉ In a statistics class, students were asked how many siblings they
have. Their responses are shown.
2, 3, 1, 3, 5, 3, 3, 3, 6, 3, 5, 0, 3
