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For the project you will have to: Collect and organize a sample of 30 items of d

ID: 3159367 • Letter: F

Question

For the project you will have to: Collect and organize a sample of 30 items of data from a source you find relevant. Some examples: Sports (top HR hitters, rushing leaders, point scorers, etc.) Weather (average daily temperature for a month, max hurricane wind speed, etc.) Business (top grossing movies, highest paid athlete's, record sales, etc.) Demographics (age, height, weight, etc.) Construct a grouped frequency distribution (show frequency, cumulative frequency and relative frequency). Find the mean, median, mode and range for your date. Find the variance, standard deviation for your data (assume your data represent a population). Find the five number summary and determine (mathematically) if there are any outliers. Find the z-score that represents the top 20% Take a random sample of 7 values from your population. What is the probability of obtaining that value or higher.

Explanation / Answer

Mean = 148.2

Meadian = Average of 15th and 16th observation = 149

Mode = Highest frequency = 140

Range = Maximum observation - minimum observation = 160-139 = 21

5) 5 number summary

Minimum = 139

Q1 = Median of the first half observation = median of the first 15th observations = 8th observation = 142

Q2 = Meadian of the data = 149

Q3 = Median of the last 15 observation = 22nd observation = 152

Maximum = 160

Row Labels (X) Frequency Relative Frequency (f(X)) Cumulative Frequency Cumulative Relative frequency X*f(X) 139 2 0.067 2.000 0.067 9.267 140 5 0.167 7.000 0.233 23.333 142 1 0.033 8.000 0.267 4.733 146 2 0.067 10.000 0.333 9.733 148 4 0.133 14.000 0.467 19.733 149 2 0.067 16.000 0.533 9.933 150 4 0.133 20.000 0.667 20.000 151 2 0.067 22.000 0.733 10.067 152 2 0.067 24.000 0.800 10.133 153 2 0.067 26.000 0.867 10.200 154 1 0.033 27.000 0.900 5.133 158 1 0.033 28.000 0.933 5.267 160 2 0.067 30.000 1.000 10.667 Grand Total 30 1.000 148.200