b) Construct a histogram of the relative frequencydistributionQuestion 7: Use the Box-and-Whisker plot to display thefive-number summary of the following data: “ 472839513337592433"Question 8: A pair of fair dice is rolled.a) Make a list of all possible outcomes to determinethe sample space of this experiment.b) What is the probability that the sum of the two diceequals eight? List all the combinations of thenumbers that add up to eight, and then state theprobability that the sum equals eight.Question 9: The data set below is a sample of the speeds of10 cars passing a construction site on a particular day. 59,53, 50, 50, 57, 54, 51, 48, 33, 58.a) Find the mean and the median.b) Is there a mode? Why or why not?Question 10: The following is a table of the ages, inmonths, (X) of 7 infants and the number of hours (Y) eachslept in a day.X1.5 2.0 7.0 5.0 4.5 6.0 9.0Y 15 14.5 13.5 13.0 14.0 11.5 12.5a) Draw a scatter plot.b) Does this plot show a positive, negative, or norelationship between an infant's age in months and thenumber of hours sleep? Question 1: Steve decided to deposit $4,680 into a savingsaccount with 6.5% interest, compounded quarterly.Assuming that no withdrawals are made, how much willhe have in the account after 7 years?Question 2: You currently have $6,000 saved in your bankaccount. You have decided to use $2100 for your upcomingspring break trip. What percentage of your savings did youuse?Question 3: Matthew will use Airbnb to book hisaccommodation in Portugal. However, he is unsure of howmany nights he will stay in Portugal.a) Write an equation that will allow Matthew to calculatewhat his total cost will be if the cost of his hotel is $98per night. Airbnb will be charge Matthew $24 inservice fees.b) Create a table of values describing the total cost ofMatthew's stay for the first 6 nights.c) Graph the equation.d) Interpret the slope and y intercept.Question4: Berkeley College students have been surveyedto determine if they prefer to work in groups or individuallyfor projects. There are 4 students who prefer to work ingroups for every 5 students who prefer to workindividually. If there were 2,200 students who prefer towork in groups, how many students were surveyed in total?Question 5: Each year an organization raises money tooffer Berkeley College students scholarships. Theycurrently have raised $14,300. This represents 65% of themoney they raise. Determine the amount of money theorganization will raise in total.Question 6: The frequency distribution below indicates thescores of 30 students who took the final exam for MathCSK 85 last semester.

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Description: b) Construct a histogram of the relative frequencydistributionQuestion 7: Use the Box-and-Whisker plot to display thefive-number summary of the following data: “ 472839513337592433"Question 8: A pair of fair dice is rolled.a) Make a list of all poss

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Question 7: Use the Box-and-Whisker plot to display the five-number summary of the following data: “ 47 28 39 51 33 37 59 24 33"

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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