Statistics and Probability

1. GOOD
MORNING!!!

2. MATH QUIZ
Ma’am Pauline

3. Welcome Everyone
Ma’am Pau
I'm so excited to be here for our
Math Quiz. This quiz is a chance
to show off what you have
learned. Don't be afraid to ask
for help. Let's have fun and do
our best. Good Luck!

4. QUIZ
Determine the z value for
each of the following
questions.

5. Given the mean is 50 and
the standard deviation is 4
of a population of reading
scores. Find the z-value that
corresponds to a score x=58.
1.

6. 2. Mark is analyzing the test scores of
a group of students. He knows that
the mean score is 80 with a standard
deviation of 10. If one student scored
70 on the test, what is the z value for
this student's score?

7. 3. Emily is examining the weights of
packages in a shipment. She knows
that the mean weight is 12 pounds with
a standard deviation of 2 pounds. If
one package weighs 16 pounds, what is
the z value for this package's weight?

8. 4. Tom is investigating the
temperatures recorded in a city. He
knows that the average temperature
is 75°F with a standard deviation of
5°F. If one day the temperature
reaches 80°F, what is the z value for
that day's temperature?

9. 5. Hannah is analyzing the test
scores of her classmates. She knows
that the mean score is 75 with a
standard deviation of 10. If one
student scored 85 on the test, what
is the z value for this student's
score?

10. 6. Sarah is conducting a study on the
reaction times of drivers at a busy
intersection. She knows that the mean
reaction time is 1.5 seconds with a
standard deviation of 0.3 seconds. If one
driver's reaction time is 1.8 seconds, what
is the z value for this driver's reaction
time?

11. 7. Alice is analyzing the ages of
participants in a study. She knows
that the mean age is 40 years with a
standard deviation of 5 years. If one
participant is 50 years old, what is
the z value for this participant's
age?

12. 8. Bob is investigating the prices of
smartphones in a store. He knows
that the mean price is $500 with a
standard deviation of $50. If one
smartphone is priced at $550, what is
the z value for this smartphone's
price?

13. 9. Clara is analyzing the weights of
fruits in a basket. She knows that
the mean weight is 200 grams with
a standard deviation of 20 grams. If
one fruit weighs 190 grams, what is
the z value for this fruit's weight?

14. 10. David is analyzing the blood pressure
readings of patients in a clinic. He
knows that the mean blood pressure is
120 mmHg with a standard deviation of
10 mmHg. If one patient's blood
pressure is 100 mmHg, what is the z
value for this patient's blood pressure?

15. 11. Michael is analyzing the running speeds
of athletes in a race. He knows that the
mean speed is 10 meters per second with
a standard deviation of 1 meter per
second. If one athlete runs at a speed of 9
meters per second, what is the z value
for this athlete's running speed?

16. 12. Jake is analyzing the weights of
fish in a pond. He knows that the
mean weight is 500 grams with a
standard deviation of 50 grams. If
one fish weighs 500 grams, what is
the z value for this fish's weight?

17. 13. Ethan is examining the reaction
times of athletes. He knows that the
mean reaction time is 0.5 seconds
with a standard deviation of 0.1
seconds. If one athlete has a reaction
time of 0.6 seconds, what is the z
value for this athlete's reaction time?

18. 14. Sarah is conducting a study on the
heights of students in her school. She
knows that the mean height is 65 inches
with a standard deviation of 3 inches.
She measures one student's height to be
70 inches. What is the z value for this
student's height measurement?

19. 15. For a continuous random
variable that has normal
distribution with mean of 20 and
standard deviation of 4, find the
area under the normal curve
from x=20 and x=27.

20. Thank you!!!