Part I- Measures of Central tendency/Relative Frequencyl the Five-number Summary A random sample of 25 Berkeley College students was asked, "How many hours per week typically do you work outside the home?" Their responses were as follows: {0, 0, 15, 20, 30, 40, 30, 20, 35, 35, 28, 15, 20, 25, 25, 30, 5, 10, 30, 24, 28, 30, 35, 15, 15} a. Find the mean, the median and the mode of hours worked outside the home for the sample data. Show all your work to justify your answer. b. Use the above data to complete the following table summarizing the number of hours worked outside the home. Express the relative frequency as a percent. Class Tally Frequency Relative Frequency (0 -10) (11-20) (21 – 30) (31- 40) Total c. Find the five-number summary of the hours worked outside of the home by the 25 Berkeley College students.

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Introduction to Statistics
This PERFORMANCE ASSESSMENT TASK is designed to
assess the learner's ability to calculate the measures of central
tendencies, plot the five-number summary, construct relative
frequency chart for a set of data, calculate basic probability, and
determine whether there is a positive, negative or no linear
relationship between two variables.
Part I – Measures of Central tendency/Relative Frequency/
the Five-number Summary
A random sample of 25 Berkeley College students was asked,
"How many hours per week typically do you work outside the
home?" Their responses were as follows:
{0, 0, 15, 20, 30, 40, 30, 20, 35, 35, 28, 15, 20, 25, 25, 30, 5,
10, 30, 24, 28, 30, 35, 15, 15}
a. Find the mean, the median and the mode of hours worked
outside the home for the sample data. Show all your work
to justify your answer.
b. Use the above data to complete the following table
summarizing the number of hours worked outside the
home. Express the relative frequency as a percent.
Class Tally Frequency Relative Frequency
(0 -10)
(11-20)
(21 – 30)
(31- 40)
Total
c. Find the five-number summary of the hours worked outside
of the home by the 25 Berkeley College students.
Transcribed Image Text:Introduction to Statistics This PERFORMANCE ASSESSMENT TASK is designed to assess the learner's ability to calculate the measures of central tendencies, plot the five-number summary, construct relative frequency chart for a set of data, calculate basic probability, and determine whether there is a positive, negative or no linear relationship between two variables. Part I – Measures of Central tendency/Relative Frequency/ the Five-number Summary A random sample of 25 Berkeley College students was asked, "How many hours per week typically do you work outside the home?" Their responses were as follows: {0, 0, 15, 20, 30, 40, 30, 20, 35, 35, 28, 15, 20, 25, 25, 30, 5, 10, 30, 24, 28, 30, 35, 15, 15} a. Find the mean, the median and the mode of hours worked outside the home for the sample data. Show all your work to justify your answer. b. Use the above data to complete the following table summarizing the number of hours worked outside the home. Express the relative frequency as a percent. Class Tally Frequency Relative Frequency (0 -10) (11-20) (21 – 30) (31- 40) Total c. Find the five-number summary of the hours worked outside of the home by the 25 Berkeley College students.
Part II- Basic Probability
Consider the experiment of tossing two fair dice, and observing
the sum of the two dice.
a. Make a list of all possible outcomes.
b. What is the probability that the sum of the two dice equals
5? State specifically what outcomes show a sum of two
dice equals 5.
c. What is the probability that the sum of the two dice equals
14? State specifically what outcomes show a sum of two
dice equals 14.
d. What is the probability that the sum of the two dice greater
than 9? State specifically what outcomes show a sum of
two dice greater than 9.
e. What is the probability that the sum of the two dice is less
than 2? State specifically, if any, what outcomes show a
sum of two dice is less than 2.
Transcribed Image Text:Part II- Basic Probability Consider the experiment of tossing two fair dice, and observing the sum of the two dice. a. Make a list of all possible outcomes. b. What is the probability that the sum of the two dice equals 5? State specifically what outcomes show a sum of two dice equals 5. c. What is the probability that the sum of the two dice equals 14? State specifically what outcomes show a sum of two dice equals 14. d. What is the probability that the sum of the two dice greater than 9? State specifically what outcomes show a sum of two dice greater than 9. e. What is the probability that the sum of the two dice is less than 2? State specifically, if any, what outcomes show a sum of two dice is less than 2.
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