As part of a semester project in a statistics course, Bobby surveyed a sample of 50 high school students and asked them, "How many days in the past week did you work out?" The results of his survey are shown in this box:
0, 2, 0, 5, 3, 4, 1, 2, 0, 6, 5, 4, 2, 0, 0, 0, 1, 0, 1, 3, 2, 2, 1, 4, 0, 0, 2, 3, 3, 1, 7, 0, 2, 2, 2, 3, 3, 4, 4, 1, 0, 1, 0, 1, 2, 1, 3, 2, 1, 4.
Is this data discrete or continuous?
Draw a histogram of the data. What is the class width (how did you decide on how many classes to divide the data into)?
Describe the shape of the histogram (be as specific as possible).
Do you expect the mean to be more than, equal to, or less than the median? Circle your choice and explain why.
Is the shape skewed? Is it symmetric? Or right skewed? Left skewed? Explain your answer.
Put the numbers in ascending order.
Determine the mean, median, and mode.
Find the lower quartile, upper quartile, and interquartile range.
Are there outliers? (Find them if any)
Draw a box and whisker plot.
What percent of the data lies to the right of the lower quartile?
What percent of the data lies between the median and upper quartile?
Find the standard deviation of the sample of the students.
Find the interval where 68% of the population would concentrate.
Find the z-score of the number 4 from your data.
What is the percentile of #4 compared to the rest of your data?