Probability and Statistics: Descriptive Statistics

For our example, we're going to be taking a look at years of teaching experience. So ten teachers were surveyed, and here are the results. Again, this is years of teaching experience.

Using the Z-statistic, calculate the Z-score for a single value $x$ given the mean $\mu$ and standard deviation $\sigma$.

How many students received at most a score of 69 on the exam?

How many students received a score of at least 80 on the exam?

How many students received a score between 60 and 90 (inclusive)?

Make a frequency table showing the shoe sizes of students in the class using intervals that accommodate decimal values, such as 4 to 6, 6 to 8, 8 to 10, and 10 to 12.

Using the frequency table created, make a histogram of the shoe sizes.

Use the given histogram of winning speeds at the Daytona 500 to answer the following questions:

a) Which interval contains the most data values?

b) How many winning speeds are less than 140 miles per hour?

c) How many winning speeds are at least 160 miles per hour?

What is the main weight of all the apples in the orchard?

Find the marginal distribution for the color preference. Calculate the total for each color (red, blue, green), and express them as percentages of the total sample size.

In a classroom of 200 students, analyze the relationship between the amount of time studied and the percentage of correct answers. Given a two-way table, focus on calculating and interpreting marginal and conditional distributions.

Calculate the mean, median, mode, and range for a given set of numbers: 7, 5.29, 4, and another number resulting in a range of 12.

Find the mean (average), median, and mode of data set {1, 8, 3, 2, 6}.

Calculate the mean age of a family with ages totaling 222 years for 6 members.

Given a data set {1, 2, 3, 4}, determine the median.

Using a dataset of monthly guitar sales totaling 108 over 12 months, find the mean, median, and mode.

Calculate the standard deviation of the numbers 82, 93, 98, 89, 88.

Calculate the standard deviation of the numbers shown in the table below: 76, 84, 69, 92, and others to a total of 10 numbers with a sum of 800.

Using the amounts of money [$21,$50, $62,$85, $90], calculate the mean and standard deviation.

Given the average height of an American adult male is 5'10" with a standard deviation of 3 inches, use the 68-95-99.7 rule to determine the percentage of men that deviate more than 9 inches from the average height.